American women's heights are normally distributed with a mean of 63.6 inches and a standard deviaiton of 2.5 inches. What is the probaility of randomly selecting 150 women with a mean height greater than 64 inches?

0.9750
0.0250
0.5636
0.4364

2. Assume that the population of human body temperature has a mean of 98.6 as is commonly believed. Also assume that the population standard deviation is 0.62. If a sample size of n=106 is randomly selected find the probability of getting a mean temperature of 98.2 or lower.

0.00001
0.9999
0.2578
0.4800

Answers

Answer 1

Addressing issue hand, we state that As a result, the linear equation likelihood of obtaining a mean temperature of 98.2 or lower is 0.0030, or approximately 0.003. up to get together with.

What is a linear equation?

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

z = (64 - 63.6) / (2.5 / sqrt(150)) = 1.7889

P(Z > 1.7889) = 1 - P(Z < 1.7889) = 1 - 0.9633 = 0.0367

As a result, the probability of selecting 150 women at random with a mean height greater than 64 inches is 0.0367, or approximately 0.037. As a result, the answer is (B) 0.0250.

(x - mu) / (sigma / sqrt(n)) = z

where x represents the sample mean, mu represents the population mean, sigma represents the population standard deviation, and n represents the sample size.

When we substitute the given values, we get:

z = (98.2 - 98.6) / (0.62 / sqrt(106)) = -2.7465

The probability of getting a z-score less than -2.7465 using a standard normal distribution table is 0.0030. As a result, the likelihood of obtaining a mean temperature of 98.2 or lower is 0.0030, or approximately 0.003. up to get together with.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1


Related Questions

Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table.


Click on the numbers you want to select and drag them into the table.


x y


6 6


3 8


9 12


7 8

x y
Find x,y value
Given numbers- 3,6,7,8,9,12

Answers

The values of x and y such that the table represents a function are given as follows:

x = 8, y = 7.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

The input-output pairs for the function in this problem are given as follows:

An input of 6 is mapped to an output of 6.An input of 3 is mapped to an output of 8.An input of 9 is mapped to an output of 12.An input of 7 is mapped to an output of 8.

Hence the x-value can only by 8 or 12, and we choose y = 8, while the y-value is free, hence we choose y = 7.

More can be learned about relations and functions at https://brainly.com/question/12463448

#SPJ1

80 pts! please correct answer

What is the end behavior of this radical function?
f(x)=4\sqrt{x-6 }

A.
As x approaches positive infinity, f(x) approaches positive infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches negative infinity, f(x) approaches negative infinity.

Answers

Answer:

The end behavior of the given radical function f(x) = 4√(x-6) as x approaches positive infinity is option A: As x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

This is because as x approaches positive infinity, the value inside the square root (x-6) also approaches positive infinity. As the square root of a positive number is also positive, f(x) approaches positive infinity.

We can also see this by using the concept of limits. As x approaches positive infinity, the limit of f(x) can be evaluated as:

lim f(x) = lim 4√(x-6)

x→∞ x→∞

= 4√(lim(x-6))

x→∞

Since the limit of (x-6) as x approaches positive infinity is positive infinity, we have:

lim f(x) = 4√(∞) = ∞

x→∞

Therefore, as x approaches positive infinity, f(x) approaches positive infinity.

Answer:

Step-by-step explanation:

The end behavior of the given radical function f(x) = 4√(x-6) as x approaches positive infinity is option A: As x approaches positive infinity, f(x) approaches positive infinity.

This is because as x approaches positive infinity, the value inside the square root (x-6) also approaches positive infinity.
As the square root of a positive number is also positive, f(x) approaches positive infinity.

We can also see this by using the concept of limits.
As x approaches positive infinity, the limit of f(x) can be evaluated as:

lim f(x) = lim 4√(x-6)x→∞ x→∞= 4√(lim(x-6))x→∞.

Since the limit of (x-6) as x approaches positive infinity is positive infinity, we have:

lim f(x) = 4√(∞) = ∞x→∞.

Therefore, as x approaches positive infinity, f(x) approaches positive infinity.

A student received a standardized score of -.63 on a class assignment. Which statement best describes the student’s score in relation to the rest of the class?

Answers

A standardized score of -.63 means that the student's score is .63 standard deviations below the mean score of the class.

In a normal distribution, approximately 50% of the scores fall below the mean and 50% fall above the mean. Since the student's score is below the mean, we can say that the student scored lower than the average student in the class.

However, we cannot make any conclusions about how the student's score compares to the rest of the class without knowing more information about the distribution of scores. If the distribution is approximately normal, we can say that the student scored lower than approximately 73% of the class (since .63 standard deviations below the mean corresponds to approximately the 26th percentile of a normal distribution).

Therefore, the best statement we can make about the student's score in relation to the rest of the class is that the student scored lower than the average student in the class and lower than approximately 73% of the class if the distribution is approximately normal.

A single serving of a cereal breakfast bar contains 18 grams of carbohydrates. This is 6%
of the daily recommended allowance for a 2000-calorie diet. How many grams of
carbohydrates are recommended each day for a person on a 2000-calorie diet?
10. A concert was recently held at the civic auditorium. All 5000 tickets were sold.
a. 25% of the tickets were reserved seats that sold for $45 each. What was the total
amount in sales for the $45 tickets?
b. 15% of the tickets were reserved seats that sold for $35 each. What was the total
amount in sales for the $35 tickets?
c. The remainder of the tickets were general admission. How many general admission
tickets were sold?
d. If each general admission ticket sold for $20, what was the total amount in sales for
the general admission tickets?
e. What was the total amount for all ticket sales?

Answers

Answer:

Step-by-step explanation:

a. 25% of 5000 tickets = 0.25 x 5000 = 1250 tickets

Total sales of $45 tickets = 1250 x $45 = $56,250

b. 15% of 5000 tickets = 0.15 x 5000 = 750 tickets

Total sales of $35 tickets = 750 x $35 = $26,250

c. General admission tickets = Total tickets - Reserved tickets

= 5000 - 1250 - 750

= 3000 tickets

d. Total sales for general admission tickets = Number of general admission tickets x Price per ticket

= 3000 x $20

= $60,000

e. Total sales = Sales of $45 tickets + Sales of $35 tickets + Sales of general admission tickets

= $56,250 + $26,250 + $60,000

= $142,500

Two similar triangles have a scale factor of 2/3. The area of the larger triangle is 27 what is the area of the smaller triangle

Answers

The area of the smaller triangle is 12 square units

How to determine the area of the smaller triangle

If the scale factor between two similar triangles is 2/3

It means that every length of the smaller triangle is 2/3 the length of the corresponding side of the larger triangle.

So, the ratio of their areas is the square of the scale factor

This is represented as

(area of smaller triangle) / (area of larger triangle) = (2/3)^2 = 4/9

We are given that the area of the larger triangle is 27

So, we have

Area of smaller triangle/27 = 4/9

Multiplying both sides by 27, we get:

Area of smaller triangle = (4/9) * 27

Evaluate

Area of smaller triangle = 12

Hence, the area of the smaller triangle is 12.

Read more about triangle at

https://brainly.com/question/14285697

#SPJ1

In the United States, 41% of 18 to 29-year-olds said in a survey held in March 2020 that they turrently subscribed to Hulu. What is the probability in a random sample of 55 18 to 29-year-olds that 20 will say they currently have a subscription to Hulu?

Answers

The probability in a random sample of 55 18 to 29-year-olds that 20 will say they currently have a subscription to Hulu is: 0.087.

How to find the probability?

This is a binomial distribution problem, where n = 55 and the probability of success (i.e. a person subscribing to Hulu) is p = 0.41.

The probability mass function of a binomial distribution is:

P(X = x) = (nCx) * p^x * (1-p)^(n-x)

where nCx is the binomial coefficient (i.e. the number of ways to choose x items from n items).

So, in this case, we want to find P(X = 20):

P(X = 20) = (55C20) * 0.41^20 * (1-0.41)^(55-20)

P(X = 20) ≈ 0.087

Therefore, the probability that in a random sample of 55 18 to 29-year-olds, 20 will say they currently have a subscription to Hulu is approximately 0.087or 8.7%.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

Joel bought a container of yogurt that held 8 cups of yogurt. He used a 0.25-cup serving of the
yogurt each day. When 7.25 cups of the yogurt remained, how many 0.25-cup servings had Joel
used from the container?

0.75
2
3
29

Answers

Answer:

3

Step-by-step explanation:

Amount used:

8 - 7.25 = 0.75

He used 0.75 cup

Each day he had 0.25 cup.

0.75/0.25 = 3

Answer: 3

I need help with this please

Answers

The volume and sum of the composite shape is 13L² and 13V³ respectively

What is a square?

A square is a closed two-dimensional shape (2D shape) with four sides that are equal and parallel to each other. Also, In Euclidean Euclidean geometry, a square is a regular quadrilateral which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles

The composite is made up of 13 squares in total

The area of 1 square is given as A = S²

The volume of the composite is 13L³ units

Hence there are 13 squares. the sum of the areas and volume of the square is 13 S²

Learn more about the volume of a square on https://brainly.com/question/24314734

#SPJ1

Pls help !! Find the equation of a line parallel to that passes y= 4/3x+4 through the point (3,-7).

Answers

An equation of a line parallel to that passes y = 4/3x + 4 through the point (3, -7) include the following: A. y + 7 = 4/3(x - 3).

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

Since y = 4x/3 + 4, the slope is equal to 4/3.

At data point (3, -7) and a slope of 4/3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-7) = 4/3(x - 3)  

y + 7 = 4/3(x - 3)  

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

The box plot shows some information about the distribution of the amounts of money spent by some male students on their holidays.

i got part b correct but i cant figure out part a, please help

Answers

The interquartile range for the amounts of money spent by some male students on their holidays is £ 160.

How to find the interquartile range ?

To find the interquartile range (IQR) on a box plot, the IQR is the difference between the upper and lower quartiles. The upper quartile (Q3) is the median of the upper half of the data, and the lower quartile (Q1) is the median of the lower half of the data.

The interquartile range for the amount spent by male students on their holidays is :

= Q3 - Q 1

= 800 - 640

= £ 160

Find out more on the interquartile range at https://brainly.com/question/4102829

#SPJ1

Find the slope between the following points:(-5,5),and (3,-12) *

Answers

m = (-12 - 5) / (3 - (-5))

m = (-17) / (3 + 5)

m = (-17) / 8

Therefore, the slope between the points (-5, 5) and (3, -12) is -17/8.

Please mark this answer as brainliest if possible.

2. The graph of f(x) = -x² +8x+ 20 is sketched below. The graph intersects the x-axis at (-2;0) and (10;0), and the y — axis at (0; 20). The point (4;36) is the turning point of f. -2 20 0 Y (4:36) 1 10 the a is called th T​

Answers

To find the value of p for which the equation -x^2 + 8x + p = 0 has equal roots, we need to use the discriminant of the quadratic formula, which is b^2 - 4ac. If the discriminant is equal to zero, then the equation has equal roots.

In this case, the equation is -x^2 + 8x + p = 0. Comparing this to the standard quadratic equation ax^2 + bx + c = 0, we can see that a = -1, b = 8, and c = p.

To find the discriminant, we can substitute these values into the formula:

b^2 - 4ac = 8^2 - 4(-1)(p) = 64 + 4p

We want this expression to be equal to zero, so we can set it equal to zero and solve for p:

64 + 4p = 0
4p = -64
p = -16

Therefore, the value of p for which -x^2 + 8x + p = 0 has equal roots is -16.

Question 1
Find the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made. The interest charge for unpaid balances is 18% per year.
Credit Card Balance = $5000
Credit Limit = $5000
Minimum Payment = $125.00

Answers

After making the minimum payment of $125, the unpaid balance on the credit card is $4875, the new interest charge is $75, and the purchasing power is $50.

How to find the purchasing power?

If the minimum monthly payment of $125 is made, we can calculate the new balance, unpaid balance, and interest charge as follows:

The interest rate per month is (18% per year) / 12 = 1.5% per month.

First, we calculate the interest charge for the month on the unpaid balance:

Interest charge = (1.5% per month) x ($5000 unpaid balance)

Interest charge = $75

Next, we subtract the minimum payment from the unpaid balance to get the new unpaid balance:

Unpaid balance = $5000 - $125

Unpaid balance= $4875

Then, we add the interest charge to the new unpaid balance to get the new balance:

New balance = $4875 + $75

New balance = $4950

Finally, we can calculate the purchasing power as the credit limit minus the new balance:

Purchasing power = $5000 - $4950

Purchasing power = $50

Therefore the unpaid balance on the credit card is $4875, the new interest charge is $75, and the purchasing power is $50.

Learn more about purchasing power here:https://brainly.com/question/28199500

#SPJ1

A pendulum is a weight attached to a fixed rod, as shown in the figures. Suppose that during an experiment, a pendulum moves back and forth in a periodic manner. At the beginning of the experiment , when the time is t = 0 seconds , the pendulum is at a point halfway between its maximum and minimum distances from the wall, 2.5 m away from the wall (Figure 1) and moving toward the wall. The pendulum first reaches its minimum distance from the wall , 1 m from the wall , when t = 1 second (Figure 2). When t = 4 seconds, the pendulum is back to a point halfway between its maximum and minimum distances from the wall. The pendulum continues to move back and forth so that the distance between the pendulum and the wall over time can be modeled by a sinusoida ! function .

Answers

Yes, a pendulum is a weight attached to a fixed rod that swings back and forth in a periodic motion. The distance between the pendulum and the wall can be modeled by a sinusoidal function, where the distance between the pendulum and the wall is represented by the equation d(t) = 2.5 + 1 sin ((π/2)t). As shown in the figures, when t = 0 seconds, the pendulum is at a point halfway between its maximum (2.5 m away from the wall) and minimum distances (1 m away from the wall), and when t = 1 second, the pendulum reaches its minimum distance from the wall. The pendulum continues to move back and forth so that when t = 4 seconds, it is back to a point halfway between its maximum and minimum distances from the wall.

Using the growth accounting equation, if the growth rate of output is 5 percent, the growth rate of labor is 4 percent, the growth rate of technology is 3
percent, and a = 0.8, then the growth rate of capital can be estimated to be:
Multiple Choice
O
1.2 percent.
1.5 percent.
2.0 percent.
1.0 percent.

Answers

The answer is (B) 1.5 percent.

You can find the growth accounting equation by using:

Growth rate of output equals Technology growth rate plus a* Capital growth rate plus (1-a*Labor growth rate)

Inputting the values provided yields:

5% equals 3% plus (0.8 * Capital Growth Rate) plus (0.2 * 4%).

When we simplify the equation, we obtain:

Capital growth rate equals (5% - 3% - 0.2%) / 0.8, or 1.5%

As a result, the capital growth rate is predicted to be 1.5%.

(B) 1.5 percent is the right answer.

To know more about Percent visit:

https://brainly.com/question/16242050

#SPJ1

Write an equivalent expression for 24x + 16

Answers

E assim cara 8(3x+2)

(8x+17), (12x-39) find m

Answers

The measure of the angle M is 129 degrees

How to determine the value

It is important to note that the properties of a parallelogram are;

Opposite sides are equalOpposite angles are congruentSame-Side interior angles (consecutive angles) are supplementary, that is, 180 degreesEach diagonal of a parallelogram divides it into two congruent trianglesThe diagonals of a parallelogram bisect each other

Then, we have that;

m< M = m < K

substitute the values

12x - 39 = 8x + 17

collect the like terms, we have;

12x - 8x = 17 + 39

Add the collected like terms, we get;

4x = 56

divide both sides by the coefficient of 4, we get;

4x/4 = 56/4

Divide the values

14

Then, m < M = 12(14) -39 = 129 degrees

Learn about parallelograms at: https://brainly.com/question/10744696

#SPJ1

The complete question:

In the parallelogram, Find mZN: K (8x + 17)9 (12x - 39)8 01;0 - Lx'An M Ax+8x +17 + iax -3 = 360 3ax-33 = H0 +3 42 20 22X 7 x=17.30

Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

line WL is a straight line intersecting line GZ at J so angles LJW is 180o

therefore

LJG + GJH + HJW = 180

9x + 90 + 18 = 180

9x = 180 - 90 - 18

9x = 72

x = 72/9 = 8

Consider the graph of 5x² + 8x + 4y² - 4y = 70.

If the graph of 5x² + 8x + 4y - 4y = 70 is stretched horizontally by a factor of 3, the equation of the stretched graph will be

If the graph of 5x² + 8x + 4y² - 4y = 70 is stretched vertically by a factor of 7, the
equation of the stretched graph will be

Answers

To stretch the graph horizontally by a factor of 3, we need to multiply the x-coefficient by 1/3. Similarly, to stretch the graph vertically by a factor of 7, we need to multiply the y-coefficient by 1/7. Therefore:

Horizontally stretched graph: 5(1/3x)² + 8(1/3x) + 4y² - 4y = 70

Simplifying:

(5/9)x² + (8/3)x + 4y² - 4y = 70

Vertically stretched graph: 5x² + 8x + 4(1/7y)² - 4(1/7)y = 70

Simplifying:

5x² + 8x + (4/49)y² - (4/7)y = 70

Jamie bought a shirt and a jacket for a total price of $164. The cost of the jacket was $17 more than twice the price of the shirt

Answers

The price οf the jacket was $115.

Let's start by defining sοme variables tο represent the unknοwn quantities:

Let x be the price οf the shirt

Let y be the price οf the jacket

Frοm the prοblem statement, we knοw that:

y = 2x + 17 (the cοst οf the jacket was $17 mοre than twice the price οf the shirt)

x + y = 164 (the tοtal cοst οf the shirt and jacket was $164)

We can use these twο equatiοns tο sοlve fοr the values οf x and y. One way tο dο this is tο substitute the expressiοn fοr y frοm the first equatiοn intο the secοnd equatiοn, and then sοlve fοr x:

x + (2x + 17) = 164

3x + 17 = 164

3x = 147

x = 49

Nοw that we knοw the price οf the shirt is $49, we can use the first equatiοn tο sοlve fοr the price οf the jacket:

y = 2x + 17

y = 2(49) + 17

y = 115

Therefοre, the price οf the jacket was $115.

Learn more about equatiοns

https://brainly.com/question/29277124

#SPJ1

10. In the diagram shown, AC is congruent to DC and ZA and ZD are both right angles. SS | RS 1. GIVEA ACANC ELL X-3 en 1. AC DC LA CALD are rt L's 2 LBCB Reflex Hue propert 344DBC LAB ALE HL Fungh D Prov​

Answers

Answer:

4Step-by-step explanation:

Ayudaaaaa no sé cuando vaya a venir a revisar estoooolo

Si 25$ representa el 15% de una cuenta cuanto hay en total en la cuenta?

Answers

Si 25 dólares representan el 15% de una cuenta, podemos usar una regla de tres simple para determinar cuánto hay en total en la cuenta:

15% -----> $25

100% ----> ($25 x 100)/15

100% ----> $166.67

Por lo tanto, hay $166.67 en total en la cuenta.

The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 20 ft long, what is its volume…..

Answers

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height (or length) of the cylinder.

In this case, the radius of the cylindrical construction pipe is 2.5 ft and the length is 20 ft. So, the volume can be calculated as:

V = π(2.5)^2(20)
= 125π cubic feet

Therefore, the volume of the cylindrical construction pipe is 125π cubic feet.

Please help me on this: 90 BRAINLY POINTS. Yuri bakes lemon bars in a pan shaped like a right rectangular prism. The volume of the pan is 150 cubic inches. The width of the pan is 7 1/2 inches, and its height is 2 inches.


What is the length of the pan?


Enter your answer in the box

Answers

Answer:

length of the pan is 10 inches

Step-by-step explanation:

Volume = length x width x height

V = lwh

l = (V) / (wh) = (150 in³) / (7.5 in)(2 in) = 10 in

What is the standard error σM for this sample? (rounded to the nearest tenth: e.g. 2.2)

Answers

To calculate the standard error σM for a sample, we can use the formula [tex]σM = s / \sqrt{n}[/tex], where s: sample standard deviation and n: sample size.

The formula for calculating the standard error, M, which indicates the standard deviation of the sampling distribution of the mean, is as follows:

[tex]σM = σ / \sqrt{n}[/tex]

where σ: population standard deviation and n: sample size.

If we don't know the population standard deviation, we estimate it using the sample standard deviation s. We use formula:

[tex]σM = s / \sqrt{n}[/tex]

We can apply the method above with the sample size n and the sample standard deviation s if we are given a sample and asked to determine the standard error M for this sample.

By adding up each value in the sample and dividing by the sample size, we can determine the sample mean x, from which we may compute the sample standard deviation. The sample variance is then determined by adding up the squared deviations between each value and the sample mean, then dividing the result by the sample size less one. Lastly, we calculate the sample standard deviation by taking the square root of the sample variance.

Once we have calculated the sample standard deviation s and the sample size n, we can plug these values into the formula for σM:

[tex]σM = s / \sqrt{n}[/tex]

and calculate standard error.

In conclusion, the formula M = s / [tex]\sqrt{n}[/tex]n, where s: sample standard deviation and n: sample size, can be used to compute the standard error M for a sample.

Learn more about standard error here:

https://brainly.com/question/13179711

#SPJ1

Find an equation for the graph.

Answers

The equation for the trigonometric graph is y = 2sin4x

What is a trigonometric graph?

A trigonometric graph is the graph of a trigonometric function.

Since we desire to find the equation of the graph, we then want to use the equation for the general sine graph.

y = AsinBx where

A = amplitude and B = 2π/T where T = period.

Now, A = (maximum - minimum)/2

From the graph,

maximum = 2 and minimum = -2

So, we now substitute the variables into the equation, thus

A = (maximum - minimum)/2

= [2 - (-2)]/2

= (2 + 2)/2

= 4/2

= 2

Also B = 2π/T

Now from the graph, T = π/2

So,  we substitute for B in the equation for B, thus

B = 2π/T

= 2π/(π/2)

= 2π × 2/π

= 4

We then substitute A and B into y, thus

y = AsinBx

= 2sin4x

So, y = 2sin4x

Learn more about trigonometric graph here:

https://brainly.com/question/29718746

#SPJ1

To emphasize the slow increase in sales, it would be best for Samantha to use graph B or graph A for her presentation

Answers

Answer:

Graph A

Step-by-step explanation:

As can be seen, the trend in graph A is increasing with each month but not seemingly by as much as graph B;

This is because the scale of the y-axis in graph B has smaller increments;

This creates the impression of a slow increase in sales even though the data in both graphs is actually the same.

Answer: graph A.

appear to increase less.

Step-by-step explanation:

A theme park's rides are rated as mild, moderate and
max. They have restrictions requiring that passengers
have heights of at least 42 inches, 48 inches, and 54
inches, respectively. Suppose the population of children
attending the park has a mean height of 53 inches with
a standard deviation of 4 inches.
If a child is chosen randomly, what is the probability
that: (Round all answers to nearest thousandths)
a) the child can go on all rides?
b) the child can participate in only mild and moderate
rides?
c) the child can only go on mild rides?
d) the child is excluded from all rides?

Answers

Answer:

the probability that a child is excluded from all rides is 0.5000 (rounded to three decimal places).

Step-by-step explanation:

We can use the standard normal distribution to solve this problem. We first need to standardize the height requirements using the population mean and standard deviation.

a) To find the probability that a child can go on all rides, we need to find the probability of getting a height of at least 54 inches.

z-score = (54 - 53) / 4 = 0.25

Using a standard normal table or calculator, we find that the probability of getting a z-score of 0.25 or greater is 0.4013.

Therefore, the probability that a child can go on all rides is 0.4013 (rounded to three decimal places).

b) To find the probability that a child can participate in only mild and moderate rides, we need to find the probability of getting a height between 42 inches and 48 inches.

First, we find the z-scores for each height requirement:

z-score for 42 inches = (42 - 53) / 4 = -2.75

z-score for 48 inches = (48 - 53) / 4 = -1.25

Using a standard normal table or calculator, we find that the probability of getting a z-score between -2.75 and -1.25 is 0.2375.

Therefore, the probability that a child can participate in only mild and moderate rides is 0.2375 (rounded to three decimal places).

c) To find the probability that a child can only go on mild rides, we need to find the probability of getting a height of less than 42 inches.

z-score = (42 - 53) / 4 = -2.75

Using a standard normal table or calculator, we find that the probability of getting a z-score of -2.75 or less is 0.0030.

Therefore, the probability that a child can only go on mild rides is 0.0030 (rounded to three decimal places).

d) To find the probability that a child is excluded from all rides, we need to find the probability of getting a height less than 42 inches or greater than 54 inches.

First, we find the z-scores for each height requirement:

z-score for 42 inches = (42 - 53) / 4 = -2.75

z-score for 54 inches = (54 - 53) / 4 = 0.25

Using a standard normal table or calculator, we find that the probability of getting a z-score of less than -2.75 or greater than 0.25 is 0.0987 + 0.4013 = 0.5000.

Therefore, the probability that a child is excluded from all rides is 0.5000 (rounded to three decimal places).

Question 11 (1 point)
Mary Ellen is making a table cloth for a client's dining room. She selected some pale-
yellow linen from a craft store and has it laid out on her work table to cut into the
correct shape. What tool is Mary Ellen MOST LIKELY going to use to cut the linen?
Scissors
Shears
A measuring tape
A Color Scheme Guide

Answers

Answer:

Mary Ellen is MOST LIKELY going to use shears to cut the linen.

An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the Pearson correlation coefficient r for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round your final answer to three decimal places.

Answers

Therefore , the solution of the given problem of data plot comes out to be value (r) is roughly 0.975.

Data plot: What is it?

The most typical way to display data in a graph is to demonstrate how two additional factors relate to one another. Digital and hand-drawn sketches are both acceptable. From the beginning position, move two or more pieces to the correct and three pieces up. The reference system must display the numerals for positions 2, 3, and 4. In your points, be very clear. The pinkish haze with the letter P stands in for the number 2.3.

Here,

We must compute several numbers in order to determine the Pearson correlation coefficient r for the information provided in the table.

Before anything else, we figure out the average and standard deviation of the amount of TV airings (x) and car sales (y):

mean(x) = (40 + 30 + 20 + 50 + 10) / 5 = 30

mean(y) = (30 + 20 + 10 + 40 + 20) / 5 = 24

These mean numbers allow us to determine the standard deviation:

=> SX = √ (( (40-30)² + (30-30)² + (20-30)² + (50-30)² + (10-30)²) / 4)

≈> 15.81

=> SY = √(( (30-24)²+ (20-24)² + (10-24)² + (40-24)² + (20-24)²) / 4)

≈> 8.16

Next, we determine x and y's covariance:

=> cov(x,y) =

=> [(40-30)(30-24) + (30-30)(20-24) + (20-30)(10-24) + (50-30)(40-24) + (10-30)(20-24)] / 4

≈>  125

Last but not least, we can figure out the Pearson association coefficient:

0.975 r = cov(x,y) / (s x * s y)

As a result, the table's data's Pearson correlation value (r) is roughly 0.975. This shows a significant positive correlation between the volume of car purchases and the frequency of the TV ad.

To know more about plotting data visit:

https://brainly.com/question/29096917

#SPJ1

Other Questions
Research shows that global managers face a much different leadership context as compared to their domestic counterparts. One study done by Project GLOBE found that culture played a significant role in leadership traits. The study identified six leadership styles: performance-oriented; team-oriented; participative; humane; autonomous; and self-protective.Match each managerial trait and country cluster to the appropriate leadership style. Consider two-sided, one-to-one matching between five men (A, B, C, D, and E) and five women (1,2,3,4, and 5). Their rankings are as follows: Which of the following matchings has no blocking pairs? A:4, B:1, C:3, D:D, E:5, 2:2 A:A, B:5, C:3, D:2, E:1, 4:4 A:4, B:5, C:3, D:2, E:1 A:4, B:1, C:2, D:3, E:5 A:2, B:3, C:5, D:1, E:4 A truck covers 40.0 m in 9.15 s while uniformly slowing down to a final velocity of 2.20 m/s.(b) Find its acceleration.Incorrect: Your answer is incorrect. m/s2 Why did Pirates leave Jamaica in 1689? Please explain to the best of your ability Rae is saving for a new computer, so she's selling her old antivirus software program for $250. Thesoftware originally cost $985, and she used it for 12 years.What was the net asset value of Rae's antivirus software two years after her purchase?O A. $722.50OB. $755OC. $825.75OD. $862.50OE. $890.75 PLease Help The pituitary gland in a male child is malfunctioning. It signals the reproductive organs to secrete hormones too early. Based on your knowledge of the endocrine system and hormones, explain the likely impact of this on the male child. Rewrite the following expressions as adjective phrases. a bus which has forty seats. Why did Hitler and the Nazi party drive the world toward WWII? 8. Calculate the area of the triangle below. A. 25cm B. D. 16cm E. - 12cm 24cm 15cm 8cm 30 C. 20cm In operas, Mozart uses one way to link the music to each of his characters.A. False, Mozart uses three ways to link the music to each of his characters.B. False, Mozart uses many different ways to link the music to each of his characters.C. False, Mozart uses two ways to link the music to each of his characters.D. True pls help fast!! Find the equation of a line perpendicular to 4x+3y=24 that passes through the point (8,3). What is electrical energy? A. The ability to do work.B. The energy of moving electrons.C. The energy of electricity.D. The force of moving atoms. 1. CNS stands for ____________________________________.It includes the brain and ______________________________.2. PNS stands for _________________________________.It includes: ______________________________________.3. How do the CNS and PNS work together?If focusing on the brain (part of the CNS), please complete the following. Remember that these are general areas;more detail could be explored about all of these regions!9. The term brainstem includes the midbrain plus which two structures from the hindbrain?____________________________________________ and ____________________________________________4. What are some functions of themidbrain?7. The hindbrain includes the medulla,____________________, and cerebellum.5. The forebrain includes thecerebrum. What are some functions ofthe cerebrum?6. The forebrain also includes thethalamus and hypothalamus. What aresome functions of these structures?8. What are some functions of the structures listed above?Amoeba Sisters Video Recap: Nervous System10. The PNS can be divided into the autonomic nervous system (ANS) and somaticnervous system (SNS). How do these cartoons at right illustrate some differences betweentheir functions?The ANS can be further divided. You can look at the very first question again to see thedivision flow chart!11. Cartoon 1 at right is representing functions involved in the________________________________________________ system.12. Cartoon 2 at right is representing functions involved in the________________________________________________ system.13. For this image featuring a neuron, please label the:axon, axon terminals, cell body, dendrites, and synapse.14. Many neurons can be myelinated. What does thatmean and what is its significance?15. Neurons can receive a signal in the ______________and carry it down the ____________________________.16. The action potential allows neurons to carry a signalquickly. In 2-4 sentences, briefly summarize what occursin an action potential.17. When an action potential reaches the end of the axon, it can signal synaptic vesicles torelease __________________________________, which can travel the between neuronsand signal an action potential in the neighboring neuron.18. Neurons arent the only cells heavily involved in the nervous system! Glial cells (or glia)have many important roles in the nervous system. What are at least 3 functions of glia? please number and each one 1. How do the movements of sodium and potassium change during the action potential compared to during the resting membrane potential phase? 2. After you stimulate the neuron, why do you have to wait before stimulating it again? 3. Fill in the table below comparing the concentration of sodium and potassium ions inside and outside the cell at the end of the action potential (before it starts to level back out) a car dealership has 5 exterior color choices, 6 interior color choices and 2 model choices. how many different ways can you choose a car what are good websites to include in a climate change seminar? Please help with this please. 2) According to lines 3 and 4, what was the Stamp Act taxing? Wasthere a period in the Shang dynasty history when theyhad a lot of money,power, art, trade, andfood? What is the total area, in square centimeters, of the shaded sections of the below? 6.4 cm 9.1 cm 5.2 cm 9.6 cm