In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 7 students who failed the test and also did not complete the assignment. What is the probability that a student who did not complete the homework passed the test?

Answers

Answer 1

Therefore, the probability that a student who did not complete the homework passed the test is 2/5 or 0.4 (or 40%).

What is Probability?

Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To calculate the probability of an event, we divide the number of favorable outcomes by the total number of possible outcomes. For example, if we toss a fair coin, the probability of getting heads is 1/2 because there is one favorable outcome (getting heads) out of two possible outcomes (getting heads or tails).

Let's define the following events:

A: passing the test

B: completing the assignment

We know that:

[tex]P(A) = 18/28 = 9/14[/tex] (since 18 students out of 28 passed the test)

[tex]P(B) = 19/28[/tex] (since 19 students out of 28 completed the assignment)

P (A ∩ B) = P(B) = 19/28 (since every student who completed the assignment also took the test)

We want to find P (A | not B), which represents the probability of passing the test given that the student did not complete the assignment.

Using Bayes' theorem, we have:

P (A | not B) = P (not B | A) * P (A) / P (not B)

We know that:

P (not B | A) = P (A' ∩ B') / P(A') = 7/28 / 10/28 = 7/10 (since 7 students failed the test and did not complete the assignment)

P (not B) = 1 - P(B) = 9/28 (since not completing the assignment is the complement of completing the assignment)

Plugging in these values, we get:

[tex]P(A | not B) = (7/10) * (9/14) / (9/28)[/tex]

[tex]P(A | not B) = 2/5[/tex]

To know more about Bayes' theorem, click here,

https://brainly.com/question/29598596

#SPJ1


Related Questions

motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. assume a production process produces items with a mean weight of 11 ounces. a. the process standard deviation is , and the process control is set at plus or minus standard deviations. units with weights less than or greater than ounces will be classified as defects. what is the probability of a defect (to 4 decimals)? 0.3173 in a production run of parts, how many defects would be found (to the nearest whole number)? 16 b. through process design improvements, the process standard deviation can be reduced to . assume the process control remains the same, with weights less than or greater than ounces being classified as defects. what is the probability of a defect (to 4 decimals)? in a production run of parts, how many defects would be found (to the nearest whole number)? c. what is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard deviations from the mean?

Answers

(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

Learn more about Probability:

brainly.com/question/28961991

#SPJ4

$495 is 55% of what number?

Percent Proportion -
Percent Equation -

Answers

To find the number that 495 is 55% of, we can use the percent proportion or percent equation.

Using the percent proportion:

Part/Whole = Percent/100

Let x be the whole (or total) number we are looking for. Then:

495/x = 55/100

We can cross-multiply to solve for x:

49500 = 55x

Dividing both sides by 55:

x = 900

Therefore, 495 is 55% of 900.

Using the percent equation:

Percent * Whole = Part

Let x be the whole (or total) number we are looking for. Then:

55% * x = 495

We can divide both sides by 0.55 to solve for x:

x = 495 / 0.55

Simplifying:

x = 900

Therefore, 495 is 55% of 900.

Answer: 55 %

Step-by-step explanation:

To find the number that $495 is 55% of, we can use the following proportion:

part/whole = percent/100

Let x be the number we are trying to find, then we can write:

495/x = 55/100

To solve for x, we can cross-multiply:

55x = 49500

Dividing both sides by 55, we get:

x = 900

Therefore, $495 is 55% of 900.

6 - (5 divided by a)^3 + 8 a=5

Answers

Answer:

13

Step-by-step explanation:

Evaluate the expression:

[tex]6-(5 \div a)^3 +8[/tex]

a = 5, plug in the value

[tex]6-(5\div 5)^3 + 8[/tex]

Divide in parentheses

[tex]6-1^3+8[/tex]

1^3 = 1, then subtract 6 and 1

[tex]5+8[/tex]

Add

[tex]13[/tex]

2.quality style manufactures self-assembling furniture. to reduce the cost of returned orders, the manager of its quality control department inspects the final packages each day using randomly selected samples. the defects include wrong parts, missing connection parts, parts with apparent painting problems, and parts with rough surfaces. the average defect rate is four per day. owhich type of control chart should be used? construct a control chart with 3-sigma control limits.

Answers

The type of control chart should be used here is equals to C-chart. So, the right answer is option (c). The upper and lower control limits are 10 and 0 respectively.

We have a quality style manufactures self-assembling furniture.

Average Defect rate = 4 per day

Now, here we are checking the number of defective packages per day which is independent day to day and have a mean or average of 4 per day. So, we use here the C- chart one of type of control chart. Also, we have to draw control chart with 3-sigma control limits. Average defect Rate, c' = 4

We determine the control limits,

CL = 3 ( 3-sigma )

The upper control limit , UCL = c' + 3 √c'

= 4 + 3 √4 = 10

The lower limit, LCL= max ( 0, c' - 3 √c')

c' - 3 √c' = 4 - 3√4 = -2, as it is less than zero, So, lower control limit, LCL= 0.00.

The construction of control chart always consists,

First, we have to determine the mean of the observed data.Secondly, we have to determine the variance of the set.Third, calculate the standard deviation, which means the square root of the variance.Fourth, we have to determine the three-sigma, which means three standard deviations above the mean. a central line for the average, an upper line for the upper control limit, and a lower line for the lower control limit.

For more information about Control chart , refer :

https://brainly.com/question/29317670

#SPJ4

Complete question:

quality style manufactures self-assembling furniture. to reduce the cost of returned orders, the manager of its quality control department inspects the final packages each day using randomly selected samples. the defects include wrong parts, missing connection parts, parts with apparent painting problems, and parts with rough surfaces. the average defect rate is four per day. owhich type of control chart should be used?

i) R chart

ii) p chart

iii) c chart

construct a control chart with 3-sigma control limits.

The net of a right rectangular prism is shown.
2.6
3.9
3.9
5.2
3.9
5.2
2.6
What is the surface area of the right rectangular prism? Enter the answer as a decimal in the box.
unit²

Answers

The surface area of the right rectangular prism is 87.88 square units.

The surface area of ​​a rectangle is the total area or area of ​​six faces. A prism is a solid with straight parallelogram sides and a base of the same polygon. There are many types of prisms such as triangular prism, square prism, cartesian prism, penta prism, and hexagonal prism.

Given that:

from the set of information :

Length(l) = 5.2

Breadth (b) = 2.6

Height(h) = 3.9

Area of the rectangular prism = 2(lb + bh + lh)

                                                 = 2(5.2×2.6 + 2.6×3.9 + 3.9×5.2)

                                                 = 2(43.94)

                                                 = 87.88

Therefore, the surface area of the right rectangular prism is 87.88 square units.

Complete Question:

The net of a right rectangular prism is shown 2.6 3.9 5.2

What is the surface area of the right rectangular prism? Enter the answer as a decimal in the box unit².

Learn more about the Surface area:

https://brainly.com/question/29298005

#SPJ1

Pleaseee Help Meeeeeeeeeee
"if You don't Know the Answer DON'T ANSWER THE QUESTION."
(If you Answer the question and You don't Know it, It takes away From someone else being able to Answer it and Give me the Correct Answer.)

PS. IT'S MULTIPLE CHOICE, WHICH MEANS IT'S MORE THAN ONE ANSWER. PLEASE DO NOT RESPOND TO THE QUESTION- IF YOU DON'T HAVE MORE THAN ONE ANSWER.
PLEASE AND THANK YOU,

Answers

The top two are perfect square trinomials

m^2+10m+25 (m+5)^2
m^2+24m+144 (m+12)^2

How answer this question

Answers

Answer:

[tex]54 \: {ft}^{2} [/tex]

Step-by-step explanation:

The surface area is the sum of the lateral and base areas

Since the given figure is a cube (all sides and walls of a cube are equal), instead of finding its surface area the harder way, we can find the area of one side and multiply it by the number of sides a cube has (which is 6):

[tex]a(surface) = 3 \times 3 \times 6 = 54 \: {ft}^{2} [/tex]

Answer: 54 ft²

Step-by-step explanation: The side of a cube is given to be 3ft

We know the formula of the surface area of a cube is: 6A²

putting the value of side in the formula gives

6x(3)²=54 ft²

URGENT
Find the length of side x in simplest radical form with a rational denominator.

Answers

value of side x in the triangle is 6 ( simplest radical form with a rational denominator is 6/1).

Define right triangle

A right triangle is a triangle that has one angle measuring 90 degrees, which is also called a right angle. The hypotenuse is the side that faces the right angle, while the legs are the other two sides.

Define trigonomteric function

Trigonometric functions are a set of mathematical functions used to relate the angles and sides of a right triangle. Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six fundamental trigonometric functions (cot).

In the given right angles triangle

Using trigonomteric function

Tan30°=√12/x

1/√3=√12/x

x=√12×√3

x=√36

x=6

Hence, value of side x in the triangle is 6.

To know more about hypotenuse, visit:

https://brainly.com/question/28752684

#SPJ1

Kim receives 4 stickers more than Jim. If Kim receives 20 stickers, What is the ratio of Kim’s stickers to Kim’s stickers? How many stickers must Kim receive if Jim gets 60 stickers?

Answers

Kim must receive 75 stickers if Jim gets 60 stickers.

1. Since Kim receives 4 stickers more than Jim, and Kim receives 20 stickers,

we can determine the number of stickers Jim receives:
Jim's stickers = Kim's stickers - 4
Jim's stickers = 20 - 4
Jim's stickers = 16
2. The ratio of Kim's stickers to Jim's stickers is:
Kim's stickers : Jim's stickers
20 : 16
3. To simplify the ratio, divide both numbers by their greatest common divisor (4):
(20/4) : (16/4)
5 : 4
So, the ratio of Kim's stickers to Jim's stickers is 5:4.
4. If Jim receives 60 stickers, we can determine how many stickers Kim must receive using the ratio 5:4:
4 units = 60 stickers (Jim's)
1 unit = 60 stickers / 4
1 unit = 15 stickers
Since Kim has 5 units in the ratio:
Kim's stickers = 5 units * 15 stickers/unit
Kim's stickers = 75 stickers.

For similar question on divisor.

https://brainly.com/question/15006721

#SPJ11

A boat is heading towards a lighthouse, where
Jeriel is watching from a vertical distance of 113
feet above the water. Jeriel measures an angle of
depression to the boat at point A to be 8°. At
some later time, Jeriel takes another
measurement and finds the angle of depression
to the boat (now at point B) to be 52°. Find the
distance from point A to point B. Round your
answer to the nearest tenth of a foot if necessary.

Answers

Roof soap poison rock dododododo

What is and equation of the line that passes through the points ( − 4 , − 6 ) and (8,−6)

Answers

Answer: y= -6

Step-by-step explanation: use the slope formula and slope intercept; y=mx+b

2x + 8y = 6
5x + 20y = 15

Answers

Answer: 0=0

Step-by-step explanation:

(y+4)^2 * (y-4)^2


Pls help, will mark brainliest

(Use factoring)

Answers

Answer:

Step-by-step explanation:

sean makes 225 a week with a standard deviation of 35, evan makes 240 with a standard deviation of 15, what is the probability that's sean will make more than evan on a randomly selected week?

Answers

The probability that Sean will make more than Evan on a randomly selected week is approximately 0.3446 or 34.46%.

To calculate the probability that Sean will make more than Evan in a randomly selected week, we need to compare their incomes in terms of standard deviations from the mean.

First, we need to calculate the difference between their means:

Mean difference = Sean's mean income - Evan's mean income = $225 - $240 = -$15

Next, we need to calculate the standard deviation of the difference between their incomes:

Standard deviation of difference = √[(Sean's standard deviation)^2 + (Evan's standard deviation)^2] = √[(35)^2 + (15)^2] = 37.42

Now, we can use a z-score table to find the probability that Sean's income will be higher than Evan's income:

Z-score = (Sean's income - Evan's income - Mean difference) / Standard deviation of difference = (225 - 240 - (-15)) / 37.42 = 0.40

From the z-score table, we find that the probability of a z-score of 0.40 or higher is 0.3446.

To learn more about probability click on,

https://brainly.com/question/19905090

#SPJ4

In cyclic quadrilateral PQRS,
[tex]\frac{\ \textless \ P}{3} =\frac{\ \textless \ Q}{4}=\frac{\ \textless \ R}{5}[/tex]

Find the largest angle in quadrilateral PQRS, in degrees. ("<" =angle and the answer isn't 120)

Answers

So, the largest angle in quadrilateral PQRS is < 120 degrees.

A cyclic quadrilateral is what?

A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.

Considering that,<P=3x , <Q=4x and <R=5x

∠P + ∠R = 180º            ∠Q + ∠S = 180º

Then we can write

3x+4x+5x+<S=360

12x+<S=360

<S=360-12x

We are aware that in a cyclic quadrilateral, the largest angle lies opposite the smallest angle.

Hence, in order to determine the largest angle, we must first determine the smallest angle.

P being the smallest angle leads us to believe that it is equal to x.

Therefore:

x+4x+5x+<s=360

10x+<s=360

<S=360-10x

therefore, Largest angle

- 10x < 360 - (10 * 24) = 120

So, the largest angle in quadrilateral PQRS is less than 120 degrees.

To know more about cyclic quadrilateral visit:

brainly.com/question/15850377

#SPJ1

Find the sum.

(3g^2-g) + (3g^2-8g+4)

Answers

The sum of the given algebraic expression is =6g²-9g +4

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

The given expression is

=3g²-g+(3g²-8g+4)

=3g²-g + 3g² -8g +4

=6g²-9g +4

The sum of the given algebraic expression is =6g²-9g +4

learn more about algebraic expression

https://brainly.com/question/11654422

#SPJ1

14
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the f
If p-1 is a factor of p*+p²+p-k, the value of kis
Reset
Next

Answers

To test if p - 1 is a factor of p^2 + p + p - k, we can use synthetic division.

Place the coefficients of p^2 + p + p - k in the top row of the division table, and write (p - 1) to the left, outside of the table:

       | 1   1   1   -k

    1  |__________

       |  

       

Bring down the first coefficient of 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       

Multiply the 1 by (p - 1) to get p - 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             

Add the entries diagonally (1 and 1) to get 2 and write the result under the next coefficient of 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       

Multiply the 2 by (p - 1) to get 2p - 2:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

             

Add the entries diagonally (2 and 1) to get 3 and write the result under the next coefficient of 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

       ________

            3  

             

Multiply the 3 by (p - 1) to get 3p - 3:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

       ________

            3  

       -3p+3    

             

Add the entries diagonally (3 and 1) to get 4 and write the result under the next coefficient of -k:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

       ________

            3  

       -3p+3    

       ________

                 4

           

The remainder is 4, which means that p - 1 is a factor of p^2 + p + p - k if k = 4.

Therefore, the value of k is 4.

for the following situations, would you collect information using a sample or a population? a. to find how many books are published in one week by a famous publishing company. multiple choice 1 sample population b. to test a new drug produced by a biotech company. multiple choice 2 sample population c. to find the number of men and women working in an it company with 600 people. multiple choice 3 population sample d. to estimate the average salary of doctors in california. multiple choice 4 population sample

Answers

We have to solve all of the parts of the given problem using our understanding of a sample and a population. It is given below.

A sample is taken when you want to take data from a specific set and then make observations based on that. A population is, on the other hand, the complete set that you want to make your observations from.

In the given problem -

A. To find how many books are published in one week by a famous publishing company - We are going to use a sample because we need to observe under s set category - one week.

B. To test a new drug produced by a biotech company - We are going to use a population because we need to monitor all individuals who take this drug.

C. To find the number of men and women working in an IT company with 600 people - We use a population here because we are going to use the data of all the people in the company.

D. To estimate the average salary of doctors in California - We use a sample here because the set category is California.

Learn more about Samples on

https://brainly.com/question/11045407

#SPJ4

11. Matt brings twelve basketballs to the park for practice. The diameter of the basketball is 9.5
inches. How much cubic inches of air will you need to fill all the basketballs?
(Round to the nearest hundredth.)

Answers

Answer: 5387.05 [tex]in^3[/tex]

Step-by-step explanation:

9.5 / 2 = 4.75 (Radius of 1 Basketball)

V = [tex]\frac{4}{3} \pi r^3[/tex]

V = (4 x π x 4.75^3) / 3

V = 1346.761 / 3

V = 448.92

Thus we need 448.92 [tex]in^3[/tex] to fill 1 basketball

12 Basketballs = 449.92 * 12

12 Basketballs = 5387.046 ≈ 5387.05

A toy rocket is shot vertically into the air from a launching pad 4feet above the ground with an initial velocity 96of feet per second. The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h=-16t^2+96+4 . How long will it take the rocket to reach its maximum​ height? What is the maximum​ height?

Question content area bottom

Part 1

The rocket will reach its maximum height ? after launch

​(Simplify your​ answer.)

Part 2

The maximum height reached by the object is ?

​(Simplify your​ answer.)

Answers

Step-by-step explanation:

Height = - 16 t^2  + 96 t + 4

   max will occur at   t =  - b/2a   =   -  96/(2*-16) = 3 seconds

The max height at t = 3

   Height = -16 (3^2) + 96 (3) + 4 = 148 ft

Explain this question help me?

Answers

Answer:

D. y = 1.5[tex](4)^{x}[/tex]

Step-by-step explanation:

There are a lot of ways to solve this, but here we will just use the simplest way is to put the number in for x and y to see if it is true or not, and that will be the correct answer.

Let's use the point (4, 384)

A. y = 4[tex](2)^{x}[/tex]

  384 = 4[tex](2)^{4}[/tex]

  384 = 64

This is not true, so A is wrong.

B. y = 3[tex](2)^{x}[/tex]

  384 = 3[tex](2)^{4}[/tex]

  384 = 48

This is not true, so B is wrong.

C. y = 4[tex](1.5)^{x}[/tex]

  384 = 4[tex](1.5)^{4}[/tex]

  384 = 20.25

This is not true, so C is wrong.

D. y = 1.5[tex](4)^{x}[/tex]

  384 = 1.5[tex](4)^{4}[/tex]

  384 = 384

This is true, so D is the answer.

PLEASE HELP I WILL GIVE BRAINLYIEST
Write a linear polynomial (degree of 1) to represent the length of a rectangle. Write another linear
polynomial (degree of 1) to represent the width of a rectangle.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: For your answer for the area of the reaction in Part A, explain its degree and classification and why it
has that degree and classification? (3 points)
Part C: Explain how closure under multiplication applies to your your dimension and area in Part A. (7 points)

Answers

Therefore, the expression that represents the area of the rectangle is A(x) = mnx² + (mc + bn)x + bc.

What is polynomial?

In mathematics, a polynomial is a mathematical expression consisting of variables (also known as indeterminates) and coefficients, which are combined using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Here,

Part A:

Let's assume that the length of the rectangle is represented by the linear polynomial L(x) = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, let's represent the width of the rectangle by the linear polynomial W(x) = nx + c, where n is the slope of the line and c is the y-intercept.

The area of the rectangle is given by multiplying the length and width of the rectangle, so we can express the area A(x) as:

A(x) = L(x) * W(x)

= (mx + b) * (nx + c)

= mnx² + (mc + bn)x + bc

Part B:

The degree of the polynomial A(x) is 2, which makes it a quadratic polynomial. The classification of the polynomial A(x) is that of a concave upward parabola. The degree of the polynomial is 2 because of the presence of the quadratic term mnx² in the expression for the area. The classification of the polynomial as a concave upward parabola is because the coefficient of the x² term is positive (i.e., mn > 0), and this causes the graph of the polynomial to curve upwards.

Part C:

Closure under multiplication means that if we multiply two numbers in a certain set, the result is always within that same set. In the context of the dimensions and area of a rectangle, closure under multiplication applies because if we multiply the length and width (which are both represented by linear polynomials), the resulting area (which is represented by a quadratic polynomial) is still within the same set of polynomial functions. Specifically, multiplying two linear polynomials results in a quadratic polynomial, and since polynomial functions are closed under multiplication, the resulting area polynomial is still a polynomial function. This means that the area of the rectangle can be represented by a single polynomial function, which is useful for various mathematical computations and applications.

To know more about polynomial,

https://brainly.com/question/11536910

#SPJ1

The answer of this question bc it showing me the answer is D

Answers

Answer:

You're right -- it's B!

Step-by-step explanation:

When raising a power to a power, multiply exponents. The answer would be D if it were 4^6 times 4^3, but it's (4^6)^3, so I'm not sure what is happening to the computer.

Select the correct answer. Solve the following quadratic equation. (x + 4)² = 25 A. B. C. D. x = 9 and x = − 1 9 and r -9 and r I= 9 and x = 1 x= 3665 -1 2 ​

Answers

Hence, After solving this quadratic equation  D is the right response x = -9 or x = 1,

How to solve quadratic equation?

Three fundamental approaches can be used to resolve quadratic equations:

Factoring, first

2. Applying the quadratic equation

3. Finish the square.

To factor an equation with a quadratic term:

1. Place the equal sign with zero on the other side and all terms on one side.

2. Aspect.

3. Define each factor as zero.

4. Handle the equations in order.

5. Verify by entering your solution into the initial equation.

In order to use the quadratic formula to solve a quadratic equation:

1. Type the quadratic formula into your calculator: x = (-b (b2 - 4ac)) / (2a).

2. Determine the quadratic equation's values for the variables a, b, and c.

3. Enter these numbers as replacements in the quadratic formula, then simplify.

(x + 4)² = 25 is the quadratic version of the given equation.

By taking the square root of each side of the equation and then figuring out x,

we can solve this equation.

(x + 4)² = 25

Square roots of both sides result in x + 4 = 5 and x = -4 5.

Because of this, x = -9 or x = 1.

To know more about quadratic equation visit:

brainly.com/question/30098550

#SPJ1

Answer:

x=-9 and x=1

Step-by-step explanation:

It was correct for me

suppose George has three pieces of wood to use for a triangular frame for his art piece the pieces of wood have length of 16 inch 14 inch 30-in can George use these pieces of wood to make a triangular frame​

Answers

The given wood length does not satisfied the property of triangle through which it unable to create a triangle.

What about length of triangle?

The length of a triangle depends on the specific triangle you are referring to and the measurements of its sides. A triangle is a three-sided polygon, and its length is typically measured as the length of its sides.

There are different types of triangles based on their side lengths, such as equilateral triangles with three equal sides, isosceles triangles with two equal sides, and scalene triangles with no equal sides. The length of each side in these triangles can be determined using various methods, such as the Pythagorean theorem, the Law of Cosines, or trigonometric functions.

Define triangle property:

A triangle is a polygon with three sides and three angles. The properties of a triangle include:

Three sides: A triangle has three sides that can have different lengths.Three angles: A triangle has three angles that add up to 180 degrees.Interior angles: The interior angles of a triangle can be acute (less than 90 degrees), right (exactly 90 degrees), or obtuse (greater than 90 degrees).Exterior angles: The exterior angles of a triangle are formed by extending one of the sides of the triangle and measuring the angle between it and the adjacent side. The sum of the measures of the exterior angles of a triangle is always 360 degrees.

According to the given information:

As, we know the property of triangle that sum of two side always greater than third side of the triangle. But when add 16 inch and 14 inch we get 30 inch as a result that is same length of the third side.

Hence, it is not greater than third side so, through the given length we can't create a triangle.

To know more about triangle visit:

https://brainly.com/question/14965331

#SPJ1

what is the precent of change from 22 to 26​

Answers

Answer: 15.4% (rounded to the nearest tenth)

Step-by-step explanation:

solve this problem pleasee

Answers

The measure of following values for the given circle is:

Sector AE = (2/3)π square units

Sector AB = (10/9)π square units

Sector ECB = (1/3)π square units

Angle BOC = 160 degrees

What is circle?

In geometry, a circle is a two-dimensional shape that is defined as the set of all points in a plane that are equidistant from a given point called the center. The distance from the center to any point on the circle is called the radius of the circle.

Here,

Sector AE:

The central angle of 60 degrees represents one-sixth (60/360) of the circle, so the sector AE has an area of one-sixth of the total area of the circle. The area of the circle is πr² = 4π square units, so the area of sector AE is:

(1/6) x 4π = (2/3)π square units

Sector AB:

The central angle of 50 degrees represents 5/18 (50/360) of the circle, so the sector AB has an area of 5/18 of the total area of the circle. The area of the circle is πr² = 4π square units, so the area of sector AB is:

(5/18) x 4π = (10/9)π square units

Sector ECB:

Since angles EOC and BOC are complementary (they add up to 90 degrees), the central angles they subtend are also complementary. Therefore, the central angle of sector ECB is 90 - 60 = 30 degrees. This represents one-twelfth (30/360) of the circle, so the sector ECB has an area of one-twelfth of the total area of the circle. The area of the circle is πr² = 4π square units, so the area of sector ECB is:

(1/12) x 4π = (1/3)π square units

Angle BOC:

Since angles AOB and COE are both right angles (as they subtend diameters of the circle), we know that angle AOC is 90 degrees. Therefore, angle BOC is:

360 - 90 - 60 - 50 = 160 degrees

To know more about circle,

https://brainly.com/question/27802544

#SPJ1

30 points to whoever solves

Answers

Answer: 24,500 ways

Step-by-step explanation:

The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70. Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.

To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.

Therefore, the total number of ways to select the full meal is given:

70 x 10 x 35 = 24,500

Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.

Answer:

Step-by-step explanation:

The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70.
Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.

To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.

Therefore, the total number of ways to select the full meal is given:70 x 10 x 35 = 24,500.

Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.

Please help me with these two questions this is due today

Answers

The first one is correct: 9/11.
The second one is: y= x^2 - 6x + 45


1. Given the table of values, the inequality shows that the following x-values and their corresponding y-values will be used in the equation.
x_1 = 2, x_2 = 13
ROC: (y_2 - y_1)/(x_2 - x_1)
Substitute values from the table into this equation.
(10-1)/(13-2) = 9/11


2.
Then for the second question, standard form means it is written starting with the highest exponent and descending, finally ending with a constant (a # without a variable attached).
y=(x-3)^2 + 36
Expanded, this looks like:
y=(x-3)(x-3) + 36
Now FOIL the terms in the parentheses:
y = x^2 -3x -3x + 9 + 36
Finally, add the like terms (the ones of the same degree, and the constants).
y= x^2 - 6x + 45

GEOMETRY HELP!!!! WILL GIVE BRAINLIEST!!!

Answers

Geometry is the branch of mathematics that deals with shapes, sizes, positions, and properties of space. It involves concepts such as points, lines, angles, and shapes such as triangles, circles, and polygons.

To excel in geometry, it is important to have a good grasp of the basic concepts and formulas. You should understand the properties of different shapes and know how to calculate their areas and volumes.

One important formula in geometry is the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Another important concept is trigonometry, which deals with the relationships between the sides and angles of triangles.

Overall, geometry is a fascinating subject that is essential for a wide range of applications, from architecture and engineering to computer graphics and art. If you need more specific help or have any questions, feel free to ask!

To Learn More About Geometry

https://brainly.com/question/19241268

SPJ11

Other Questions
carbohydrates serve important functions as: a) fuels and energy stores b) metabolic intermediates c) structural framework or building blocks for dna, rna d) all of the other choices are correct e) roles in intercellular recognition compare the pre-civil war immigrants with those who entered america between 1880 and 1920? y = a(x _ 2)^2 _ 3. :) Help with this question tom started a business selling footballs. before filing articles of incorporation, he arranged for a bank loan and hired three people to run his store. tom is known in corporate law as a/an explain the role of the afferent and efferent arterioles in maintaining the high hydrostatic pressure within the glomerulus.multiple choice question. on may 23, 2018, uber announced it was shutting down its autonomous vehicle test facility in arizona and terminated its 300 employees working there as safety operators because of group of answer choices a fatal accident in tempe caused in part by a deactivated automatic emergency braking system. the high cost of doing business in arizona. a lack of customers. According to Random family by Adrain Nicole Leblanc. We all cope with the hard situation differently. Some turn to drugs, alcohol, and violence. How is Mercedes coping with the absence of her father? A trundle wheel is used measuring distances. The circumference of the wheel is exactly 1 m. Each time the wheel rotates through one complete turn a click sound is heard and a counter adds a meter to the total. What is the radius of this wheel? Which statement explains a shortcoming of the bid-rent theory?a. It assumes that a city exists on a flat, featureless plane with all employment opportunities found in a single central business districtb. It depicts real life applications in the context of increasing land values, but does not consider decreasing valuesc. It illustrates social and spatial processes, but does not consider the impact of economic conditions on land use. d. It includes calculations that consider land value and commercial location with a constant assumed for distance from the central business districte. It suggests that city transportation varies depending on the type of land use: commercial, industrial, or residential grants to state and local governments designed for very specific programs and projects are referred to as: a: block grants b: revenue sharing c: unfunded mandates d: categorical grants-in-aid a: pork barrelling Alyssa started a savings account with an initial deposit of $1600. The account ears 4.12% interestcompounded quarterly.(a) Write an exponential equation to represent the amount of money in the account after t years.(b) Using this equation, calculate how much money will be in the account after 7 years, assuming Alyssamakes no additional deposits or withdrawals. (Please round to the nearest cent) Plot the points (-8,7) and (5,7) on the coordinate plane below. What is the distance between these two points? Financial statement data for years ending December 31 for Tango Company follow: 20Y7 20Y6 Cost of goods sold $3,894,000 $4,001,500 Inventories: Beginning of year 770,000 740,000 End of year 840,000 770,000 Required a. Determine the inventory turnover for 20Y7 and 20Y6. Round to one decimal place. true or false venture capital deals started with the formation of american research and development (ard) by father of venture capital, george f. doriot. HELP GEOMETRY WORK!!!!!!! karen bought a baby stroller on sale for $301.75. the original price of the stroller was $335. what was the percent of the discount help asapp!!!!!!!!!!!!!!! What does the red asterisk (*) mean in this form? A. It means that the blanks next to it must be filled out. B. It means that the blanks next to it are optional. C. It means that the blanks next to it are for adults to fill out. D. It means that you must use red ink to sign that form. using ottawa charter, discuss how you would address the high rates of maternal and infant morbidity and mortality in Botswana