educational professionals refer to science, technology, engineering and mathematics as the STEM disciplines. A research group reported of 27% of freshmen entering college in a recent year planned to major in a stem discipline. A random sample of 85 freshmen is selected. Use the cumulative normal distribution table as needed. Round your answer to at least four decimal places if necessary

Answers

Answer 1

The probability that at most 20 freshmen out of 85 plan to major in STEM is approximately 0.2420.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

We can use the normal distribution to find probabilities related to STEM majors.

Let X be the number of freshmen out of 85 who plan to major in a STEM discipline. We are given that p = 0.27 is the proportion of freshmen who plan to major in STEM.

Then, X follows a binomial distribution with parameters n = 85 and p = 0.27.

The mean of the distribution is given by μ = np = 85 × 0.27 = 22.95.

The standard deviation of the distribution is given by σ = sqrt(np(1-p)) = sqrt(85 × 0.27 × 0.73) ≈ 4.27.

To find the probability that at most 20 freshmen plan to major in STEM, we can use the normal approximation to the binomial distribution:

P(X ≤ 20) ≈ P(Z ≤ (20 - 22.95) / 4.27) ≈ P(Z ≤ -0.697)

Using a standard normal distribution table or calculator, we find that P(Z ≤ -0.697) ≈ 0.2420.

Therefore, the probability that at most 20 freshmen out of 85 plan to major in STEM is approximately 0.2420.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ1


Related Questions

7 Tyler sells popcorn at the movies. He arrives at work and sees there are some
kernels in the popcorn bin. He pours in 4 more cups of kernels to fill the bin.
Then he removes 1.5 cups of kernels-Now there are 6 cups of kernels in the
bin. Write and solve an equation to find out how many cups of kernels were
in the bin when Tyler arrived. Show your work.

Answers

Answer:

1.5 * 7 that is the answer of the question

a 8. The plans of a house are drawn to a scale of 1:50. (a) Find the actual length, in metres, represented by 14 cm on the plan. (b) What length, in centimetres, on the plan represents an actual length of 11 metres? [N/85/P1]​

Answers

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

Proportion

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

a) 14 cm

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

b) 11 m

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

You are running an obstacle course. As part of the course, you must climb up a diagonal rope net to a platform. The rope net starts 35 feet from the platform base, and the platform is 20 feet high. About how long is the rope net?

Answers

By using the Pythagorean theorem we conclude that the rope net is about 40.31 feet long.

What is Pythagorean theorem?

The Pythagorean Theorem is a fundamental theorem in mathematics that describes the relationship between the sides of a right triangle.

We can use the Pythagorean theorem to solve this problem.

Let's consider the rope net as the hypotenuse of a right triangle, and the horizontal distance from the base of the platform to the starting point of the rope net as one leg of the triangle.

The other leg of the triangle is the vertical height of the platform.

Using the Pythagorean theorem, we have:

length of rope net = √(horizontal distance² + vertical height²)

Substituting the given values, we get:

length of rope net = √(35² + 20²)

= √(1225 + 400)

= √1625

= 40.31 feet (rounded to two decimal places)

Therefore, the rope net starts 35 feet from the platform base, and the platform is 20 feet high and the rope net is about 40.31 feet long.

To learn more about Pythagorean theorem visit:

https://brainly.com/question/343682

#SPJ1

movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
Bernice received the following scores on five science tests: 96, 77, 82, 96, and 89. Which of the following statements is true?
O The mean of the set is greater than the median.
O The mean and median of the set of scores are the same.
O The mode of the set of scores is 96.
The median of the set of scores is 82.

Answers

The true statement is that the mode of the set of scores is 96. The solution has been obtained by using measures of central tendency.

What are measures of central tendency?

A summary measure called a measure of central tendency, also known as a measure of centre or a measure of central placement, aims to characterise the entirety of a set of data with a single number that corresponds to the centre or centre of its distribution.

We are given scores as 96, 77, 82, 96, and 89.

So, from this we get

Mean = (96 + 77 + 82 + 96 + 89) ÷ 5

⇒ Mean = 440 ÷ 5

⇒ Mean = 88

Similarly,

Arranging the numbers, we get 77, 82, 89, 96, 96.

So, the median is 89.

Mode is 96 as it is appearing two times.

Hence, the third statement is the true statement.

Learn more about measures of central tendency from the given link

https://brainly.com/question/28180169

#SPJ1

A city collects data about public transportation. The researcher divides the
city into various zones, and randomly chooses 5 households from each
zone to survey. Which type of sample does this represent?

Answers

Answer: This type of sample is called a stratified random sample. The population (city) is divided into various zones, and then a random sample of households (5 from each zone) is taken from each stratum (zone). This helps ensure that the sample is representative of the population as a whole and includes a proportional number of households from each zone.

Step-by-step explanation:

stratified random sampling is a powerful tool for researchers to ensure that their sample accurately reflects the population of interest, and can help increase the validity and reliability of research findings.

How to study sample?

This sampling method is an example of stratified random sampling, where the population is divided into different subgroups or strata, and a random sample is drawn from each stratum. In this case, the strata are the various zones of the city, and the researcher randomly selects five households from each zone.

Stratified random sampling is a commonly used sampling method in research because it can increase the representativeness of the sample and reduce sampling error. By dividing the population into different strata based on relevant characteristics, such as geographic location, age, gender, or income level, the researcher can ensure that each stratum is adequately represented in the sample.

In this example, the researcher is interested in studying public transportation usage in different zones of the city. By stratifying the population by zone and selecting a random sample of households from each zone, the researcher can obtain a representative sample of the population and draw conclusions about public transportation usage in each zone.

Overall, stratified random sampling is a powerful tool for researchers to ensure that their sample accurately reflects the population of interest, and can help increase the validity and reliability of research findings.

To know more about sample visit :-

https://brainly.com/question/24466382

#SPJ1

Your complete question is :-A city collects data about public transportation. The researcher divides the city into various zones, and randomly chooses 5 households from each zone to survey. Which type of sample does this represent?

find volume of a cube with side length of 7 in.

Answers

Step-by-step explanation:

The volume of a cube is similar to that of a rectangular prism, the volume equals the length times width times height, however because it’s a cube all the measurements are the same, in this case 7 inches. So volume equals 7^3, thus equaling 343 inches cubed. Hope this helps!

MARKING BRAINLIEST WHOEVER AWNSERS THIS QUICK What is the cost of commercial in dollars per second write an equation in the form of y=kx

Answers

So the equation in the form y=kx is: y = 180,000x, where y is the cost in dollars and x is the length of the commercial in seconds.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equal sign, with the expression to the left of the equal sign indicating the left-hand side of the equation, and the expression to the right of the equal sign indicating the right-hand side of the equation. Equations can be used to describe relationships between variables, to solve problems, and to model real-world phenomena.

Here,

a. Yes, the cost of the commercials is proportional to the length of time the commercial aired.

b. To find the cost of a commercial in dollars per second, we need to divide the cost by the length of the commercial in seconds. Using the given values, we get:

For a 15-second commercial: $2,700,000 ÷ 15 = $180,000 per second

For a 60-second commercial: $10,800,000 ÷ 60 = $180,000 per second

For a 90-second commercial: $16,200,000 ÷ 90 = $180,000 per second

For a 120-second commercial: $21,600,000 ÷ 120 = $180,000 per second

We can see that the cost per second is constant at $180,000. So the equation in the form y=kx is:

y = 180,000x, where y is the cost in dollars and x is the length of the commercial in seconds.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

PLEASE HELP AND SHOW WORK FOR BRAINLIST


2. In the diagram below, trapezoid ABCD, with
bases AB and DC, is inscribed in circle O, with
diameter DC. If mAB = 80, what is mBC?
D
80
B
C
DAR?

Answers

Since trapezoid ABCD is inscribed in circle O, we know that angles A and D are right angles. We also know that the measure of angle ABD is equal to half the measure of arc AC. Since DC is a diameter of the circle, arc AC is a semicircle and thus has a measure of 180 degrees. Therefore, angle ABD has a measure of 90 degrees.

We also know that the sum of the measures of the angles in a trapezoid is equal to 360 degrees. Therefore, we can set up the following equation:

mAB + mBC + mCD + mDA = 360

Substituting the given values, we get:

80 + mBC + 90 + 90 = 360

Simplifying, we get:

mBC = 100

Therefore, mBC is equal to 100 degrees.

i need answer please

Answers

Answer:

We do not know if the triangles are congruent because we have no information about congruent sides.

The slope of a curve is _____.

the change in y divided by the change in x
the difference quotient
the slope of a line tangent to the curve at a given point
none of the above

Answers

Answer:

Slope curve is the gradiient

Step-by-step explanation:

Gradient equation is m = change in y over change in x

Therefore the first answer is correct

A rancher is interested in the average age that a cow begins producing milk. Match the vocabulary word with its corresponding example.


-
The average age for the 62 observed milk cows as they first produced milk

-
The list of the 62 ages

-
All milk cows

-
The age when a milk cow first produced milk

-
The average age that all milk cows are when they first produce milk

-
The 62 milk cows that were observed by the rancher
Statistic
Parameter
Data
Variable
Sample
Population

Answers

1. Statistic, 2. Data, 3. Pοpulatiοn, 4. Variable, 5. Parameter, 6. Sample

Statistic:  

A statistic is a numerical value that describes a characteristic οf a sample.

Parameter: A parameter is a numerical value that describes a characteristic οf a pοpulatiοn.

Data: Data refers tο the infοrmatiοn cοllected in a study οr experiment. This can include numbers, text, οr οther fοrms οf infοrmatiοn that can be analyzed.

Variable: A variable is any characteristic οr attribute that can take οn different values in a study οr experiment.

Sample: A sample is a grοup οf individuals οr οbjects selected frοm a larger pοpulatiοn fοr the purpοse οf cοnducting a study οr experiment. The characteristics οf the sample are used tο make inferences abοut the larger pοpulatiοn.

Pοpulatiοn: A pοpulatiοn is the entire grοup οf individuals οr οbjects that a study οr experiment is cοncerned with. The characteristics οf the pοpulatiοn are οften οf interest, but it is usually nοt feasible tο cοllect data frοm every member οf the pοpulatiοn, sο a sample is used instead.

Here we have

A rancher is interested in the average age that a cοw begins prοducing milk.

The fοllοwing vοcabulary can be matched as fοllοws

1. The average age fοr the 62 milk cοws as they first prοduced milk - Statistic

2. The list οf the 62 ages - Data

3. All milk cοws - Pοpulatiοn

4. The age when a milk cοw first prοduced milk - Variable

5. The average age that all milk cοws are when they first prοduce milk - Parameter

6. The 62 milk cοws that were οbserved by the rancher: Sample

Learn more about Statistics at

https://brainly.com/question/29342780

#SPJ1

Point A is at 0 radians with coordinates (1,0) on the unit circle. Point B is the result of point A rotating 7 pie/6 radians counterclockwise
around the unit circle. Name two other positive angles of rotation that take A to B

Answers

Answer: Two other positive angles of rotation that take A to B are:

- 13π/6 radians counterclockwise

- 25π/6 radians clockwise

Step-by-step explanation:

i need help which answer

Answers

The list that shows the side lengths, in inches, of the triangle Riley drew is: 59/5, 57/5, 3/2

What is Triangle ?

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry and is commonly used in various fields such as engineering, physics, and architecture. The sum of the angles of a triangle always adds up to 180 degrees.

To find the side lengths of the triangle Riley drew, we need to multiply each of Jim's side lengths by the scale factor of ‡, which means multiplying by 3.

The side lengths of Jim's triangle, when written with common denominators, are:

3¼ = 13/4

4.9 = 38/10

5/10 = 1/2

Multiplying each of these by 3 gives:

13/4 * 3 = 39/4

38/10 * 3 = 114/10 = 57/5

1/2 * 3 = 3/2

So, the side lengths of the triangle Riley drew are:

39/4, 57/5, 3/2

We can simplify these fractions by finding a common denominator:

39/4 = 236/20

57/5 = 228/20

3/2 = 30/20

So, the side lengths of the triangle Riley drew, in inches, are:

236/20, 228/20, 30/20

Simplifying further by dividing each numerator by 4, we get:

59/5, 57/5, 15/10

Therefore, the list that shows the side lengths, in inches, of the triangle Riley drew is:

59/5, 57/5, 3/2

To learn more about Triangle from given link.

https://brainly.com/question/30599944

#SPJ1

For a 30-day month, 15 days were sunny, 8 days fell on a weekend and 5 of the sunny days fell on a weekend. If S is the event that a day is sunny and W is the event that the day fell on a weekend, find P(W|S) and identify its meaning.

Group of answer choices

five eighths semicolon the probability that a day fell on a weekend given that it is sunny

one third semicolon the probability that a day is sunny given that it fell on a weekend

five eighths semicolon the probability that a day is sunny given that it fell on a weekend

one third semicolon the probability that a day fell on a weekend given that it is sunny

Answers

The answer is "a. five eighths; the probability that a day fell on a weekend given that it is sunny".

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how probable it is.

We can use Bayes' theorem to find P(W|S), the probability that a day fell on a weekend given that it is sunny:

P(W|S) = P(S|W) * P(W) / P(S)

We are given that 15 days were sunny out of a 30-day month, so P(S) = 15/30 = 1/2.

Out of the 30 days, 8 fell on a weekend, so P(W) = 8/30 = 4/15.

We are also given that 5 of the sunny days fell on a weekend, so P(S|W) = 5/8.

Substituting these values, we get:

P(W|S) = (5/8) * (4/15) / (1/2) = 5/12

Therefore, the answer is "a. five eighths; the probability that a day fell on a weekend given that it is sunny".

Learn more probability on:

https://brainly.com/question/13604758

#SPJ1

Please help me asap.

Answers

The value of x for the given rectangle in which the perimeter of both the rectangle are equal is x = 15.

What about rectangle?

A rectangle is a four-sided plane figure with four right angles (90-degree angles) and opposite sides that are parallel and equal in length. In other words, it is a parallelogram with all angles being right angles. The two pairs of parallel sides of a rectangle are called the length and width (or height) respectively. The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding up the lengths of all four sides. Rectangles are commonly used in mathematics, geometry, engineering, and architecture, among other fields.

Define perimeter of rectangle:

The perimeter of a rectangle is the total distance around the outside of the rectangle. It is the sum of the lengths of all four sides of the rectangle. If the length of the rectangle is denoted by "l" and the width (or height) is denoted by "w", then the formula for the perimeter of a rectangle is:

⇒ Perimeter = 2(l + w)

According to the given information:

As, we know that the perimeter of the rectangle is sum of all side of the rectangle in which,

The perimeter of first rectangle is =   [tex]2(1.4x + 5x + 5.25)[/tex]

The perimeter of second rectangle is = [tex]2(4.25x + 3x - 7.5)[/tex]

It is given that perimeter of both the rectangle are equal so,

2(1.4x + 5x + 5.25) = 2(4.25x + 3x - 7.5)

2.8x + 10x + 10.5  = 8.5x + 6x - 15

2.8x + 10x - 8.5x -6x = -15 - 10.5

-1.7x = -25.5

x = 15.

To know more about perimeter visit:

https://brainly.com/question/6465134

#SPJ1

The demand of boxes of chocolates per week for a store is given by x^2 + p^2 = 2450 where p is the price in dollars and x is the quantity of boxes demanded. Find the rate of change of the quantity demanded when the price increases at a rate of $0.10 per week per box of chocolates at the point where the price is $7.

Answers

In linear equation, $-0.0143 is the rate of change of the quantity demanded when the price increases .

What in mathematics is a linear equation?

An mathematical equation with only a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

the demand function:

x² + p² = 2450

Differentiating both sides of the demand function with respect to time t using the chain rule, we get:

  2x * dx/dt + 2p * dp/dt = 0

We also know that at the point where the price is $7, p = 7 and x satisfies:

   x² + p² = 2450

Substituting p = 7 into the demand function, we get:

  x² + 7²  = 2450

     x² = 2450 - 49x²

       x = 49

substitute x = 49, p = 7, and dp/dt = $0.10 into the differentiated demand function and solve for dx/dp

     2x * dx/dp + 2p * dp/dx = 0

  2(49) * dx/dp + 2(7) * 0.10 = 0

   98 dx/dp + 1.40 = 0

  dx/dp = $-0.0143

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

please help me with this question

A summer camp took a survey of the favorite book genres. Eighteen campers said that their favorite book genre is nonfiction.

What is the total number of campers that were surveyed?

Enter your answer in the box.
__ Campers

Answers

Answer:

360

Step-by-step explanation:

.05n = 18

n = 360 campers

I need HELP!!! ASAP THIS IS DUE IN MINUTES PLEASE

Answers

The true statement about the value of a in comparison to 0 and 1 is that it is a real number between 0 and 1.

A graph of y = f⁻¹(x) is shown below.

An equation for f⁻¹(x) is [tex]y=\frac{1}{a^x}[/tex].

What is a decreasing function?

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.

By critically observing the graph of f(x), we can logically deduce that [tex]a^x[/tex] is positive for all values of x and as such, all values of a must also be positive:

0 < a

Additionally, the exponential function [tex]a^x[/tex] represent a decreasing function, so for any values of x, we have:

[tex]a^x > a^{x+1}[/tex]

1 > a

Read more on function here: brainly.com/question/3990145

#SPJ1

please help with this! giving brainliest and 20 points

Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:

Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 2 6 42

Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work

Answers

Step-by-step explanation:

50 tries experimentalprobabilities:

open :  2/50 = 1/25

closed  6/50 = 3/25

side :   42/50 = 21/25

Answer:

Open Side Up: 2/50 = 1/25 = 4%

Closed Side Up: 6/50 = 3/25 = 12%

Landing on Side: 42/50 = 21/25 = 84%

Below is the graph of the system of linear inequalities (without the shading)
y> 3x-1
x+y≤-2
Which area should be shaded?

Answers

Answer:

y > 3x - 1

set y = 0

0 > 3x - 1

x > 1/3

points are [ 1/3,0]

set x = 0

y > 3(0) - 1

y > - 1

points are [0,-1]

second question

x + y ≤ - 2

set x = 0

y ≤ - 2

points are [0,-2]

set y = 0

x ≤ - 2

points are [-2,0]

So therefore A should be shaded.

Find the Error A student evaluated the
expression (x2-y)³ if x = -4 and y = 7.
Find his mistake and correct it.
(x^2-y²=(-42-73
=(-16-7)³
= (-23)³
= -12,167

Answers

Answer:

The student made a mistake when squaring -4.

-4 * -4 = 16.  Had the expressions said -x^2, then the answer would indeed be -16 since -1 *(-4*-4) = -16

Furthermore, since the answer is 16, you'd do (16 - 7) ^3, which equals (9)^3, which is 729 and not -12,167

Find the value of t for a t-distribution with 10 degrees of freedom such that the area between-t and t equals 90 %. Round
your answer to three decimal places, if necessary.

Answers

The value of t for a t-distribution with 10 degrees of freedom such that the area between -t and t equals 90% is 1.812.

How to find the value of t for a t-distribution?

To find the value of t for a t-distribution with 10 degrees of freedom such that the area between -t and t equals 90%, we can use a t-table.

Using a t-table, we can find the t-value that corresponds to a 5% area in the upper tail of the distribution, since the area between -t and t is 90% (leaving 10% in the tails).

For a t-distribution with 10 degrees of freedom, the critical value for a 5% area in the upper tail is 1.812. Check the attached image.

Learn more about t-distribution on:

https://brainly.com/question/30549069

#SPJ1

what is the answer to? -12∣x−6∣−9=5∣x−6∣+7

50 points for whoever answers it

Answers

Answer: A

Step-by-step explanation:

the possible answers are
- GPS
- PSG
- GSP
- SGP​

Answers

Answer:

AA Similarity

i hope this helps :)

The table below shows the 10 most popular destinations for college students from Country X studying abroad for the​ 2008-2009 school year. If a student were selected at random from those who studied abroad in​ 2008-2009 at one of the destinations in the​ table, determine the empirical probability that the student studied in E,B, and F
Country E.- 14,012
Country B.-27,731
​Country F.-11,011

Answers

The empirical probability that the student studied in E, B, and F is approximately 0.635.

The total number of students who studied abroad in the 2008-2009 school year is not given, so we cannot calculate the empirical probability directly. However, we can assume that the sample size is very large, and therefore the empirical probability of selecting a student who studied in each of the destinations listed is approximately equal to the relative frequency of students who studied in each of the destinations.

The total number of students who studied abroad in these 10 destinations is:

14,012 + 27,731 + 11,011 + 10,722 + 10,650 + 8,311 + 6,407 + 6,222 + 5,779 + 5,274 = 106,939

Therefore, the empirical probability of selecting a student who studied in E, B, and F is approximately:

≈ (14,012 + 27,731 + 11,011) / 106,939 ≈ 0.635

So, the empirical probability that the student studied in E, B, and F is approximately 0.635.

To know more about  empirical probability   here

https://brainly.com/question/27709173

#SPJ1

state the five number summary of the data used to construct the box and whisker plot i’ll give you brainlist

Answers

Answer:

Min: 85

Q1: 95

Median: 110

Q3: 120

Max: 125

The point P(1,1/2) lies on the curve y=x/(1+x)
(a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ
correct to four decimal places for the following values of x
(1) .5 (2) .9
(3) .99 (4) .999
(5) 1.5 (6) 1.1
(7) 1.01 (8) 1.001

Answers

Using the slope of curve,

1. If x=0.5, then the slope is: 0.3333.

2. If x=0.9, then the slope is: 0.2632

3. If x=0.99, then the slope is: 0.2513

4. If x=0.999, then the slope is: 0.2501

5. If x=1.5, then the slope is: 0.2

6. If x=1.1, then the slope is: 0.2381

7. If x=1.01, then the slope is: 0.2488

8. If x=1.001, then the slope is: 0.2499

Define a curve?

Three easy procedures can be used to compute the area under the curve. The curve's equation (y = f(x)), the boundaries within which the area is to be determined, and the axis encompassing the area must first be known.

The curve is given as:

y = x/1+x

Point, P = (1, 1/2) lies on the curve.

Point, Q = (x, x/1+x) is an arbitrary point on the curve.

The slope of the secant line PQ is:

y2-y1/x2-x1

= x-1/2(x+1) × 1/(x-1)

=1/2(x+1)

1. If x=0.5, then the slope is:

1/2(0.5+1)

= 1/3

= 0.3333

2. If x=0.9, then the slope is:

1/2(0.9+1)

= 1/3.8

= 0.2632

3. If x=0.99, then the slope is:

1/2(0.99+1)

= 1/3.98

= 0.2513

4. If x=0.999, then the slope is:

1/2(0.999+1)

= 1/3.998

= 0.2501

5. If x=1.5, then the slope is:

1/2(1.5+1)

= 1/5

= 0.2

6. If x=1.1, then the slope is:

1/2(1.1+1)

= 1/4.2

= 0.2381

7. If x=1.01, then the slope is:

1/2(1.01+1)

= 1/4.02

= 0.2488

8. If x=1.001, then the slope is:

1/2(1.001+1)

= 1/4.002

= 0.2499

To know more about curves, visit:

https://brainly.com/question/4748565

#SPJ1

help , it’s important, I’ll give brainliest if the answer is correct,

Answers

Answer:

value of ∅ = 67.5°

Step-by-step explanation:

cos135° = [tex]-\frac{1}{\sqrt{2} }[/tex]

so 2Ф = 135

Ф = [tex]\frac{135}{2} = 67.5[/tex]°

Write the absolute value inequality in the form |x−b| < c or |x−b|>c that has the solution set x<−7 or x>5.

Answers

The absοlute fοrm οf the given inequality is |x+1|>6.

What is inequality?

In mathematics, inequality is  a statement οf an οrder relatiοnship that is a relatiοnship between twο values that are nοt equal,—greater than, greater than οr equal tο, less than, οr less than οr equal tο—between twο numbers οr algebraic expressiοns. Such as 7<9 οr 5>3 etc.

Given inequality is

x<−7 οr x>5

The distance between -7 and 5 is

5- (-7) = 5+7= 12

Dividing that by 2 we get,

12/2 =6

It is the c value

We use the greater than since we have an οr

|x−b|>6 ----------------- (1)

Substituting  a value  x=5 in equatiοn (1) with an equals sign tο determine b we get

5-b =6

b= -1

The absοlute fοrm οf the given inequality is |x+1|>6

To know more about inequality

https://brainly.com/question/30238989

#SPJ1

Please help solve problem

Answers

The index form is solved to give 1/z^13/12

What are index forms?

Index forms are described as mathematical forms used to represent numbers too large or small in more proper ways.

Other names for index forms are scientific notations and standard forms.

They are represented as numbers raised to a variable or an exponent.

The rules of index forms are;

Add the exponents when the bases are same and are multiplyingSubtract the exponents when the bases are same and dividing

From the information given, we have;

z^-1/4/ z1/2 z1/3

Add the exponents

z^-1/4 / z  5/6

Subtract the exponents

z^ -6 - 20 /24

z^-26/24

1/z^13/12

Learn about index forms at: https://brainly.com/question/15361818

#SPJ1

Other Questions
Your friend just purchased a new sports car for $32,000. he received $6,000 for his trade in and he used that money as a down payment for the new sports car. he financed the vehicle at 6.76% apr over 48 months with a monthly payment of $619.15. determine, from the given information, the finance charge. a. $3,719.20 b. $5,476.10 c. $4,610.64 d. $6,000 147 cars were sold during the month of april. 81 had air conditioning and 82 had automatic transmission. 54 had air conditioning only, 55 had automatic transmission only, and 11 had neither of these extras. what is the probability that a randomly selected car had automatic transmission or air conditioning or both? scientists believe that long-runout debris flows are able to travel long distances because the jostling back and forth of fragments in the flow creates sound waves that propagate through the material, making it behave like a fluid. this process is known as Question 15 of 20Which information in the accounts payable subsidiary journal is entered afterthe amount of credit or debit?A. the terms of the saleB. the dateC. the name of the vendorOD. the balanceSUBMIT what are the primary factors that have generally been considered in determining an individual's sex? How does water finds its way back to the ocean ?Please help its an assignment it need it by today or tomorrow Coding Problem please review my work!Part 1: Design a ClassYoull design a class named Car that has the following fields:yearModelAn Integer that holds the cars year modelmakeA String that holds the make of the carspeedAn Integer that holds the cars current speedThe class should have the following constructor and other methods:The constructor should accept the cars year model and make as arguments. These values should be assigned to the objects yearModel and make fields. The constructor should also assign 0 to the speed field.Design appropriate accessor methods to get the values stored in an objects yearModel, make, and speed fields.The accelerate method should add 5 to the speed field each time its called.The brake method should subtract 5 from the speed field each time its called.My coding ( it's in pseudocode!)Class CarPrivate Interger yearModelPrivate String MakePrivate Interger Speed//ConstructorPublic Module Car (Interger y, String m, Interger s)Set yearModel = ySet Make = mSet Speed = sEnd Module//MutatorsPublic module setYearModel (Interger y)Set yearModel = yEnd ModulePublic module setMake (String m)Set Make = mEnd ModulePublic module setSpeed (Interger s)Set Speed = sEnd Module//AccesorsPublic Function Interger getYearModel()Return yearModelEnd FunctionPublic Function String getMake()Return makeEnd FunctionPublic Function Interger getSpeed()Return speedEnd Function//AcceleratePublic Module accelerate()set speed = speed + 5End Module//BrakesPublic Module brake()set speed = speed - 5End ModuleEnd ClassPart 2: Design a ProgramYoull create both pseudocode and a flowchart to design a program that creates a Car object and then calls the accelerate method five times.After each call to the accelerate method, get the current speed of the car and display it.Then, call the brake method five times. After each call to the brake method, get the current speed of the car and display it. Take a screenshot of the results after your fifth time calling the method.My coding ( it's in Pseudocode!)Module Main()Call accelerate(5)End ModuleModule accelerate(Interger times)If times > 0 ThenDisplay " The car has increased its speed by 5"Display "The cars current speed is, 'speed'.Call accelerate (times - 1)End ifEnd ModuleModule Main()Call brake(5)End ModuleModule brake (Interger times)If times > 0 ThenDisplay " The cars brake has been Increased by 5"Display " The cars current brake is, 'brake'.Call brake(times - 1)End IfEnd Module Find the length of the hypotenuse of the right triangle. Explain how you can interpret the Pythagorean Theorem using the areas of squares. (photo attached) the direct approach could be a good choice for a bad-news message if you expect group of answer choices the customer will be shocked by the news. the news will make the reader angry or upset. the news to be accepted as a routine part of a business relationship. the news will disappoint the reader. to be able to solve the problem within a few days. 18. Romeo, Benvolio, and Mercutio engage in a "duel of wits" at the start of this scene. According to Wikipedia, "wit" is "Wit is aform of intelligent humor, the ability to say or write things that are clever and usually funny."a. In what ways are the boys being clever and funny? What would be the total amount of money she made in the month if she babysat 10days?The total would be ____ dollars you are about to sign an interest swap to pay fixed and receive floating. the quote is 4.5-4.7% against libor flat. the principal is 100,000. what is the value of the swap? (please use a fixed rate to discount the cash flows.) round to the nearest us cent (2 decimal places Then lets have a general knowledge competition, I challenged Abdul-Karim. For instance: who discovered America? Columbus, Abdul-Karim answered. Wrong! I said. It was Amerigo Vespucci, and thats why its called America! He beat you! Nahida called to her uncle. You see, he beat you! He beat me in America, Abdul-Karim said, but I beat him right here, in the pool. You wait till Im grown up and then Ill beat you right here in the pool, I told him. Nahida seemed about to nod her agreement, but thought better of it and looked at her uncle to see what he was going to answer to that. If he ever manages to beat me here in the pool, Abdul-Karim said, it will be very bad indeed. It will be bad for you too, Nahida. Bad for all of us.What does this scene foreshadow?A. It foreshadows that the narrator and Abdul-Karim do not like each other because they are on opposite sides of the Israeli-Palestinian war.B. It foreshadows that the narrator will beat Abdul-Karim when they have another swimming contest later in the story.C. It foreshadows Abdul-Karim dying when the narrator and his fellow soldiers defeat Abdul-Karim and his fellow soldiers Distinguish the impact of imperialism between the countries that were looking for additional resources and new markets for their products (Europe) and the areas that were colonized (Africa and Asia). Then, identify one indigenous group that you think was impacted the most during this period of history and explain why?(long question ik im sorry TvT) if the fed initiates a program to purchase long-term treasury securities, it is most likely attempting to a. reduce inflation. b. reduce the rate on c tetracyanoethylene has the skeleton shown below: from its lewis structure determine the following: reference: ref 5-2 how many of the atoms are sp 2 hybridized? grocers, a large food retailer, purchases fruits from several different tropical countries. when the fruits arrive in distribution centers across the united states, the quantities are reduced to amounts that are appropriate for store delivery. the stores, in turn, offer the fruits in quantities that depend on the consumption pattern of the customers. this act of offering products in smaller quantities based on consumption patterns is known as . intensive distribution breaking bulk forward integration holding inventory consumerization Is this possible? I've looked everywhere and can't figure anything out. firm a and firm b have debt-total asset ratios of 44 percent and 34 percent, respectively, and returns on total assets of 8 percent and 14 percent, respectively. what is the return on equity for firm a and firm b? (do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) determine the minimum height of the beam shown below if the bending stress cannot exceed 20 mpa.is the max stress in tension or compression?