HELP ME PLEASE! I NEED TO KNOW WHAT FUNCTION THAT IS!

The percentage of compounds formed from this plant extract fell within two standard deviations of the mean, equal to 95.45%.

We tested an extract of a plant native to Taiwan as a possible treatment for leukemia. The amounts of collagen were found to be normally distributed with a mean = 62

standard deviation = 6.9 g/ml.

This is true for any normal distribution, regardless of the actual values of the mean and standard deviation.

The standard normal distribution is a normal distribution with mean zero and standard deviation 1. The standard normal distribution is centered around zero and the degree to which measurements deviate from the mean is represented by the standard deviation.

Therefore, the required percentage is approx. 95.45% are within 2 standard deviations of the mean 62.

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Complete question:

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 62 and standard deviation of 6.9 grams per mililiter.What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?

Answer:

y = 2/3x +6  for x< -3.

y = 2/3x +1     for x> 3.

Step-by-step explanation:

Explanations are given in attachment!

Answer:

4 m

Step-by-step explanation:

The formula to find the area of the triangle is:

[tex]\sf Area = \frac{1}{2} *base*height[/tex]

Given that,

Area = 32m²

Base = 16m

Height =?

Let us use the given formula to find the height of the triangle.

[tex]\sf Area = \frac{1}{2} *base*height\\\\\sf 32m^2 = \frac{1}{2} *16*h\\\\32= \frac{16h}{2} \\\\32=8h\\\\\frac{32}{8} =\frac{8h}{8} \\\\4m = height[/tex]

Ally will have 91.148 meters of tape in all if Ally needs 90 meters of tape for a project.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and operators (such as addition, subtraction, multiplication, and division), as well as grouping symbols like parentheses.

Ally needs a total of 90 meters of tape for her project. She bought three rolls of tape, one with 50 meters, another with 22.86 meters, and the last one with 18.288 meters. To find the total amount of tape she has, she needs to add the length of all three rolls together.

Adding the length of the first two rolls, we get:

50 meters + 22.86 meters = 72.86 meters

Then adding the length of the third roll to the sum above, we get:

72.86 meters + 18.288 meters = 91.148 meters

Therefore, Ally will have 91.148 meters of tape in all.

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Answer:

Step-by-step explanation:

In mathematics and statistics, a bar graph is commonly employed. Bar graphs, generally referred to as bar charts, are graphic illustrations of grouped data. A bar graph is a graph that displays all of the data in the form of rectangular bars with heights proportionate to the values they represent. The graph’s bars can be depicted vertically or horizontally. The bars provide a visual representation of quantities in various categories.

Graphical Representation is a way of analyzing numerical data. It exhibits the relation between data, ideas, information, and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain. There are different types of graphical representation. Some of them are as follows:

Line Graphs – A line graph or linear graph is used to display continuous data and it is useful for predicting future events over time.

Bar Graphs – Bar Graph is used to display the category of data and it compares the data using solid bars to represent the quantities.

Histograms – The graph that uses bars to represent the frequency of numerical data that are organized into intervals. Since all the intervals are equal and continuous, all the bars have the same width.

Line Plot – It shows the frequency of data on a given number line. ‘ x ‘ is placed above a number line each time when that data occurs again.

Frequency Table – The table shows the number of pieces of data that falls within the given interval.

Circle Graph – Also known as the pie chart that shows the relationships of the parts of the whole. The circle is considered 100% and the categories occupied are represented with that specific percentage like 15%, 56%, etc.

Stem and Leaf Plot – In the stem and leaf plot, the data are organized from the least value to the greatest value. The digits of the least place values from the leaves and the next place value digit from the stems.

Box and Whisker Plot – The plot diagram summarises the data by dividing it into four parts. The box and whisker show the range (spread) and the middle ( median) of the data.

the required number of packages of bias binding for the tablecloth is 2.

As the rectangular tablecloth measures 73 in. by 46 in., the perimeter of the tablecloth can be calculated by the following formula:

Perimeter of the tablecloth = 2(Length + Width)= 2(73 + 46)= 2(119)= 238 inches

Therefore, the length of the bias binding required to sew around the tablecloth will be equal to the perimeter of the tablecloth. The length of the bias binding available in a single package is 13 feet, which is equal to 156 inches.Therefore, the number of packages required can be calculated as:

Number of packages of bias binding required= Length of bias binding required / Length of bias binding in a package= 238 / 156= 1.52

Therefore, 1.52 packages of bias binding will be needed for the tablecloth. However, we cannot purchase a fractional part of a package. Therefore, we need to round up the decimal to the nearest whole number. Hence, 2 packages of bias binding are required for the tablecloth.

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Answer:

4³, 8², and 2⁶ are all equivalent to 64¹

Answer:

A, C, F

Step-by-step explanation:

A. 4 x 4 x 416 x 4= 64

C. 8 x 8 = 64

F. 2x2=4x2= 8x2=16x2=32 x 2= 64

Answer:

Step-by-step explanation:

Simple interest is a method for calculating the percentage of interest paid on a sum over a predetermined time period at a predetermined rate. The annual simple interest rate on the principal amount of 10000 at the end of 7 years would be 3%.

In simple interest, the principal amount doesn't change. Simple interest is a clear-cut and simple method for figuring out how much money has earned interest. It is a way to figure out how much interest will be charged.

Simple interest can be computed by multiplying the principal amount by the rate multiplied by the time period. In banks and other financial institutions, simple interest is frequently used to complete a variety of calculations. The total amount of cash that was spent on interest during the course of the loan is described.

Simple Interest = ( Principal × Rate × Time ) / 100

First, we need the Simple Interest (S.I)

Total = Principal + Simple Interest

T = P + S.I

$10,000 = $12,100. + S.I

S.I = $12,100 - $10,000

S.I = 2100

Simple Interest = (Principal × Rate × Time) / 100

S.I = (P × R × T) / 100

2100 = (10000 × R × 7) / 100

2100 = 70000R / 100

2100 = 700R

R = 2100 / 700

R = 3

Thus, The annual interest rate is 3%

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The element defined by the given information p = 17 n° = 20 e- = 17 is Chlorine (Cl).

An atom consists of protons, neutrons, and electrons. The atomic number of an element corresponds to the number of protons present in the nucleus of an atom. Hence, the atomic number (p) of the given element is 17. A neutral atom contains an equal number of protons and electrons.

Therefore, the number of electrons (e-) of the given element is 17 as well. The number of neutrons (n°) can be calculated as the difference between the atomic mass number (A) and the atomic number (p).

In the case of the given element, the atomic number is 17, and the atomic mass number is 37 (as chlorine has two stable isotopes of mass numbers 35 and 37). Hence, n° = 37 - 17 = 20. Therefore, the element defined by the given information p = 17 n° = 20 e- = 17 is Chlorine (Cl).

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The answer of the given question based on the  exponential function is the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ.

An equation is a statement that two expressions are equal. It contains an equal sign (=) which separates the two expressions, and it can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

The general form of exponential function is:

f(x) = a(b)ˣ

where a is the initial value, b is the base, and x is the independent variable.

We can use the two given points to form a system of equations and solve for the values of a and b.

Using the point (0,4):

f(0) = a(b)⁰ = a = 4

Using the point (4,0.25):

f(4) = a(b)⁴ = 0.25

Now we can substitute a = 4 into the second equation and solve for b:

4(b)⁴ = 0.25

(b)⁴ = 0.25/4 = 1/16

b = (1/16)⁽¹/⁴⁾ = 0.5

Therefore, the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ

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Step-by-step explanation:

(x+90°)=7x (vert opp angles)

x-7x=-90°

-6x/-6=-90°/-6

x=15

To solve this problem, we can set up a system of equations to represent the given information. Let R be the number of red tiles and B be the number of blue tiles. We are trying to find the value of R, the number of red tiles.

The first piece of information we are given is that the ratio of red to blue tiles is 3:5. This can be written as:

[tex]\dfrac{\text{R}}{\text{B}} =\dfrac{3}{5}[/tex]

The second piece of information we are given is that there are 12 more blue tiles than red tiles in the box.

This can be written as:

[tex]\text{B = R}+12[/tex]

We can solve this system of equations by substituting the second equation into the first equation and solving for R.

Substituting [tex]\text{B = R}+12[/tex] into the first equation, we get:

[tex]\dfrac{\text{R}}{\text{R}}+12 =\dfrac{3}{5}[/tex]

We can then simplify this equation to get:

[tex]\text{R} = 15[/tex]

Thus, there are 15 red tiles in the box.

Answer:

The value of b will be completed when b = 24

Step-by-step explanation:

f(x) can also be determined as y.

(-6, 2)

y = 2x²+bx+74

Plug it in.

2 = 2(-6) ² + b (-6) + 74

2 = 2(36) - 6b + 74

2 = 72 - 6b + 74

2 + 6b = 72 + 74

6b = 70 + 74

6b = 144

b = 24

The coordinates of the child after 75 seconds on a carousel that revolves once every minute counter-clockwise, assuming the child entered at point (1,0), are (-0.766, -0.643).

Since the carousel revolves once around in one minute, its angular velocity is 2π/60 radians per second or π/30 radians per second.

Let's find the angle that the child has covered in 75 seconds.

angle = (angular velocity) x (time) = (π/30) x 75 = 2.5π

After 2.5π radians, the child has completed 2.5 full revolutions and is back at the starting point. Therefore, the coordinates of the child at point (1, 0) are (-0.766, -0.643).

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The value of x in the similar triangle is 9 units.

The midsegment of a triangle is a line connecting the midpoints between two sides of a triangle. Therefore, the midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.

Hence,

9 / 72  = 3x - 20 / 56

cross multiply

9 × 56 = 72(3x - 20)

504 = 216x  - 1440

504 + 1440 = 216x

1944 = 216x

divide both sides by 216

x = 1944 / 216

x = 9

Therefore,

x = 9

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The correct options for the average speed of both runners are:

B: Candace ran 4 meters per second

F: Candice ran at a faster rate

The formula for slope between two coordinates is:

Slope = (y2 - y1)/(x2 - x1)

For Antonio, we take two coordinates from the table to find the average speed.

The coordinates are: (8, 29) and (12, 41)

Thus:

Average speed = (41 - 29)/(12 - 4)

= 12/8 = 1.5 m/s

For candice, we take two coordinates which are:

(10, 42) and (15, 62)

Thus:

Average Speed = (62 - 42)/(15 - 10)

= 20/5

= 4 m/s

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The value of x in the parallelogram is 10.

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The sum of angles in a parallelogram is 360 degrees. The parallelogram JKPQ has the following angles.

Therefore,

m∠J = 2x + 10

m∠P = 3x - 20

Hence, the opposite angles of a parallelogram are congruent.

Therefore,

m∠J  = m∠P

2x + 10 = 3x - 20

2x - 3x = -20 - 10

-3x = -30

divide both sides by -3

x = -30 / -3

x = 10

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Answer:

[tex]5x + 17[/tex]

Step-by-step explanation:

[tex]2(x + 7) + 3(x + 1)[/tex]

Multiply every term inside the bracket by the term on the outside:

[tex]2x + 14 + 3x + 3[/tex]

Collect like terms:

[tex]5x + 17[/tex]

Answer:

[tex]\large\boxed{\tt 5x + 17}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to expand, and simplifying 2 expressions.}[/tex]

[tex]\textsf{We should understand what the question is asking from us first.}[/tex]

[tex]\large\underline{\textsf{What are Expressions?}}[/tex]

[tex]\textsf{Expressions are statements that are made up of 2 or more terms. Such expressions}[/tex]

[tex]\textsf{should incl\textsf{u}de an operation as well. (+, -, } \tt \times, \tt \div )[/tex]

[tex]\large\underline{\textsf{What is Expanding?}}[/tex]

[tex]\textsf{Expanding in Mathematics involves with the Distributive Property, where an}[/tex]

[tex]\textsf{expression is expanded to further simplify the expression.}[/tex]

[tex]\underline{\textsf{How are we able to expand expressions?}}[/tex]

[tex]\textsf{Expanding Expressions has to incl\textsf{u}de the Distributive Property.}[/tex]

[tex]\large\underline{\textsf{What is the Distributive Property?}}[/tex]

[tex]\boxed{\begin{minipage}{23 em} \\ \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{Distributive Property is a property that allows us to multiply the term to the left of the parentheses into the terms inside the parentheses.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c)=ab+ac \\ \textsf{For this example, a will multiply with the terms b and c.}\end{minipage}}[/tex]

[tex]\textsf{Even though Distributive Property is mainly used for Distributing 1 term}[/tex]

[tex]\textsf{expressions, it's commonly used for distributing binomials as well, which involves}[/tex]

[tex]\textsf{the FOIL Method.}[/tex]

[tex]\large\underline{\textsf{What is the FOIL Method?}}[/tex]

[tex]\textsf{The FOIL Method is a very useful method that tells us step-by-step how to}[/tex]

[tex]\textsf{multiply 2 binomials. For any polynomial with 2 or more terms, apply the idea}[/tex]

[tex]\textsf{of the FOIL method, however using it more than once.}[/tex]

[tex]\underline{\textsf{FOIL Means;}}[/tex]

[tex]\textsf{F - Front Terms.}[/tex]

[tex]\tt ( \ \boxed{\tt x} + 1 )( \ \boxed{\tt x} - 1 )[/tex]

[tex]\textsf{O - Outer Terms.}[/tex]

[tex]\tt ( \ \boxed{\tt x} + 1 )( x - \boxed{\tt 1} \ )[/tex]

[tex]\textsf{I - Inside Terms}[/tex]

[tex]\tt (x + \boxed{\tt 1} \ )( \ \boxed{\tt x} - 1 )[/tex]

[tex]\textsf{L - Last Terms.}[/tex]

[tex]\tt (x + \boxed{\tt 1} \ )( x - \boxed{\tt 1} \ )[/tex]

[tex]\large\underline{\textsf{What is Simplifying?}}[/tex]

[tex]\textsf{Simplifying anything related to mathematics means to reduce, and to make the}[/tex]

[tex]\textsf{final answer much simpler and clean.}[/tex]

[tex]\underline{\textsf{What are some ways that we can Simplify?}}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{We are given 2 expressions where we should use the Distributive Property to}[/tex]

[tex]\textsf{expand both of the expressions. Lastly, simplify the expression by combining any}[/tex]

[tex]\textsf{like terms necessary.}[/tex]

[tex]\tt 2(x+7) + 3(x+1)[/tex]

[tex]\underline{\textsf{Use the Distributive Property;}}[/tex]

[tex]\tt 2(x+7) = (2(x)) + (2(7)) = 2x+14[/tex]

[tex]\tt 3(x+1) = (3(x)) + (3(1)) = 3x+3[/tex]

[tex]\tt 2(x+7) + 3(x+1) = 2x+14+3x+3[/tex]

[tex]\underline{\textsf{Combine Like Terms;}}[/tex]

[tex]\tt \boxed{\tt 2x} + 14 + \boxed{\tt 3x} + 3[/tex]

[tex]\tt 5x + \boxed{\tt 14} + \boxed{\tt 3}[/tex]

[tex]\large\boxed{\tt 5x + 17}[/tex]

The ordered pairs in the quadrants are option A and option D:

A. A= (2, 1)

D. C = (-1, -2)

The quadrant is the area that is bounded by the point where the X and Y axes connect. The cartesian plane's two axes, the X and Y axes, intersect at a 90° angle, forming four zones surrounding the intersection that are known as quadrants.

The points are given as:

A = (2, 1)

B = (1, 2)

C = (-1, -2)

D = (-1, -2)

Now, point A is in 1st quadrant so both the points will be positive.

So, A = (2, 1) is an ordered pair.

Now, B is in 2nd quadrant, so x coordinate will be negative and y coordinate will be positive.

B = (1,2) is hence not an ordered pair.

Now, C is in 3rd quadrant, so both the points will be negative.

C = (-1, -2) is an ordered pair.

Similarly, D is in 4th quadrant and x coordinate will be positive and y coordinate will be negative.

D = (-1, -2) is not an ordered pair.

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Answer:

(C) −5x^3 + x + 3.

Step-by-step explanation:

To divide 15x^5 - 3x^3 - 9x^2 by -3x^2, we can follow these steps:

Divide the coefficient of the first term by the coefficient of the divisor: (-15x^5) / (-3x^2) = 5x^3.

Multiply the divisor by the quotient obtained in step 1: -3x^2 * 5x^3 = -15x^5.

Subtract the product obtained in step 2 from the dividend: 15x^5 - (-15x^5) = 30x^5.

Repeat steps 1 to 3 for the next term: (-3x^3) / (-3x^2) = x, -3x^2 * x = -3x^3, -3x^3 - (-3x^3) = 0.

Repeat steps 1 to 3 for the last term: (-9x^2) / (-3x^2) = 3, -3x^2 * 3 = -9x^2, -9x^2 - (-9x^2) = 0.

Therefore, the result of the division is:

5x^3 + 0x + 3

Simplifying the expression, we get:

5x^3 + 3

Therefore, the correct answer is (C) −5x^3 + x + 3.

Answer:

C:−5x3 + X + 3

Step-by-step explanation:

I took the test and got it right

Therefore , the solution of the given problem of expressions comes out to be the formula is 4x³y² + 10x²y³ - 7y².

Instead of using estimates produced at random, it is better to use shifting integer variables that can be rising, reducing, or blocking. They could only help one another by sharing tools, information, or solutions to issues. The justifications, elements, and mathematical remarks for techniques like additional disapproval, manufacture, and mixture may be included in a statement of truth equation.

Here,

All terms enclosed in brackets must have their signs changed in order to subtract the equation from the first expression:

=>  (7x²y³ + 4x³y² - y²) - (-2x³y² – 3x²y³ + 6y²)

=>  7x²y³ + 4x³y² - y² + 2x³y² + 3x²y³ - 6y²

We can now mix similar terms:

=> 4x³y² + 10x²y³ - 7y²

As a result, the formula is 4x³y² + 10x²y³ - 7y².

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Answer: (-3u + -3) -5

Step-by-step explanation:
Use distributive property

It should be noted that the quotient of the division is 9r^2 + 2r - 5 and the remainder is -5

In this case, to solve this polynomial division, we can use either long division or synthetic division. Here, we'll use long division:

   9r^2 + 2r - 5

        ___________________________

r - 7  | 9r^3 - 73r^2 + 64r + 37

        - 9r^3 + 63r^2

        --------------------

                 - 10r^2 + 64r

                 + 10r^2 - 70r

                 ----------------

                          -6r + 37

                          -6r + 42

                          --------

                                -5

Therefore, the quotient is 9r² + 2r - 5 and the remainder is -5. Therefore: (9r³-73r² +64r +37)÷(r-7) = 9r^2 + 2r - 5 + (-5)/(r-7).

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Answer:

The answer to your problem is, The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6

Step-by-step explanation:

Numbers in order:

4,5,6,6,7,8,9,9,10,10,12,12,14,15

List into two equal parts:

4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Find middle numbers:

4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Lower quartile: 6

Upper quartile: 12

Thus the answer to your problem is, The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6

Answer:

It really just deleted my answer..

Solve.

4p^2 - 50 = 350

O {-100, 100}

O {-400, 100}

O {-10, 100}

Step-by-step explanation:

You're welcome.

Answer:

n+9 = 14

Step-by-step explanation:

Let's Sean friends in grade 7 be n.

Then In grade 8, 9 persons are there.

Equation: n+9 = 14.

n = 14-9 = 5.

The probability that team A wins the best-of-three series over team B is 3/16.

If team A is the underdog and has a probability of 1/4 of winning every game it plays against team B,

The probability that it wins the best-of-three series over team B :

Let us first begin by determining the probability of team A winning two games in a row. Since each game is independent, we can use multiplication to calculate the probability of winning two games in a row:

P(Team A wins 2 in a row) = P(Team A wins Game 1) x P(Team A wins Game 2)

Using the probability given in the problem, we can substitute:

P(Team A wins 2 in a row) = (1/4) x (1/4) = 1/16

Now we must determine the probability of team A winning two games in the series. There are three ways that Team A could win the series:

Winning the first two games;

Winning the second two games;

Winning the first and third games.

Assuming that each of these scenarios is equally probable, the probability of team A winning the series is the sum of the probabilities of these scenarios:

P(Team A wins series) :

= P(Team A wins first two games) + P(Team A wins second two games) + P(Team A wins first and third games)P(Team A wins series)

= (1/16) + (1/16) + (1/16)P(Team A wins series)

= 3/16

Therefore, the probability that team A wins the best-of-three series over team B is 3/16.

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Answer: 5654.9

Step-by-step explanation:

V=pi*r^2*h

r=10

h=18

V=pi*10^2*18

V=pi*100*18

V=pi*1800

V=5654.866776

tenths place:

V=5654.9