Suppose that two high school students decide to see if they get the same results as the
researcher. They both do 30 minutes of aerobic exercise and, immediately following the
exercise, take the test. The mean of their scores is = 25.2 seconds, the same as that of the
publication article. It is appropriate to conclude which of the following?

Answers

Answer 1

Complete question is;

A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.

H0 : μ = 25, Ha : μ > 25

To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.

It is appropriate to conclude which of the following?

Select one:

A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

D. None of the above

Answer:

D. None of the above

Step-by-step explanation:

We see that the researcher wants to test the hypotheses;

Null hypothesis; H0 : μ = 25,

Alternative hypothesis; Ha : μ > 25

Population mean = 25 and standard deviation σ = 4

After testing a sample of 1000 students, he discovered that;

Sample size; n = 1000

Sample mean; x¯ = 25.2

After calculations, he got P-value as less than 0.0001.

Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.

Thus, none of the options are correct.

Related Questions

Miguel earns extra money working two weekends with his dad. He is saving to buy a new bike that costs $140. Heather says that Miguel needs to earn more than $6 for each hour that he works to have enough money to buy the bike. Her work is shown below. Write an inequality to explain why she is incorrect

Answers

An inequality to explain the reason Heather is incorrect is t > $8.75.

What is an inequality?

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).

From the histogram, we can logically deduce the following information;

Miguel’s work record during Weekend 1 = 9 hours.

Miguel’s work record during Weekend 2 = 7 hours.

Therefore, the total number of hours which Miguel worked in two Weekends is given by;

Total hours = 9 hours + 7 hours

Total hours = 16 hours.

Next, we would calculate the amount of money that Miguel would earn per hour;

Amount = $140/16

Amount = $8.75 per hour.

Note: Let the variable t represent the total earnings.

In conclusion, the correct inequality is t > $8.75.

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5k^2+20k-25=0
please i need help

Answers

The value of k is 1 and -5.

What is factorization?

A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, typically smaller or simpler things of the same kind.

Here, we have

Given function: 5k²+20k-25 = 0

Now, we factorize the given function and we get

5k²+20k-25 = 0

5(k²+4k-5) = 0

k² + 4k - 5 = 0

k² + 5k - k -5 = 0

k(k+5) -1(k+5) = 0

(k+5)(k-1) = 0

k+5 = 0, k-1 = 0

k = -5, k = 1

Hence, The value of k is 1 and -5.

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At Jalisco Electronics, assemblers are paid according to the following differential piece 4. rate scale: 1–20 units in a day, $4.50 each; 21–30 units, $5.50 each; and $7 each for every
unit over 30. Adrian Ortega assembled 70 units in one week. Find his gross pay.

Answers

The gross pay of Adrian Ortega for assembling 70 units of electronics in a week is $425

What is his gross pay?

Gross pay refers to the total payment earned over a period of time.

1–20 units in a day = $4.50 each21–30 units = $5.50 eachOver 30 units = $7 each

Adrian Ortega assembled 70 units in one week

Pay for 1–20 units = $4.50 × 20

= $90

Pay for 21 - 30 units = $5.50 × 10

= $55

Pay for 30 - 70 = $7 × 40

= $280

Gross pay = $90 + $55+ $280

= $425

Therefore, Adrian Ortega is paid $425 in a week for assembling 70 electronics.

Answers

The cotangent of the angle is -√570/30

How to determine the cotangent of the angle?

From the question, we have the following parameters that can be used in our computation:

(√30/7,-√19/7)

This means that

(x, y) = (√30/7,-√19/7)

The cot(θ) is calculated as

cot(θ) = y/x

Substitute the known values in the above equation, so, we have the following representation

cot(θ) = (-√19/7)/(√30/7)

Evaluate

cot(θ) = -√19/√30

Rationalize

cot(θ) = -√570/30

Hence, the value of cot(θ) is -√570/30

Answers

The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

What is the angle of the polygons?

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

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NO LINKS!!

Rewrite the logarithm as a ratio of common logarithms and natural logarithms.
log_1/3(4)
a. common logarithms

b. natural logarithms

Answers

Common logarithm is the logarithm with the base 10, it is written as:

log a, lg a or log₁₀ a

Natural logarithm is the logarithm with the base of e and is written as ln a.

How to rewrite a logarithm [tex]log_a\ b[/tex] as a ratio of logarithms with a different base c:

[tex]log_a\ b=log_c\ b\ /\ log_c\ a[/tex]

Apply this to the given logarithm:

a. Common logarithms:

[tex]log_{1/3}\ 4=log\ 4\ /\ log\ (1/3)[/tex]

b. Natural logarithms:

[tex]log_{1/3}\ 4=ln\ 4\ /\ ln\ (1/3)[/tex]

Answer:

[tex]\textsf{a)} \quad \dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}=-\dfrac{\log_{10}4}{\log_{10}3}[/tex]

[tex]\textsf{b)} \quad \dfrac{\ln 4}{\ln \dfrac{1}{3}}=-\dfrac{\ln 4}{\ln 3}[/tex]

Step-by-step explanation:

Given logarithm:

[tex]\log_{\frac{1}{3}}(4)[/tex]

Part (a)

The common logarithm is the logarithm with base 10.

[tex]\boxed{\textsf{Change of base}: \quad \log_ba=\dfrac{\log_xa}{\log_xb}}[/tex]

Use the change of base formula to rewrite the given logarithm as a ratio of common logarithms:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}[/tex]

[tex]\boxed{\begin{minipage}{5cm} \underline{Log quotient law}\\\\$\log_a \left(\dfrac{x}{y}\right)=\log_ax - \log_ay$\\\end{minipage}}[/tex]

This can be simplified using the log quotient rule:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}1-\log_{10}3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{0-\log_{10}3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=-\dfrac{\log_{10}4}{\log_{10}3}[/tex]

Part (b)

The natural logarithm is the logarithm with base e.

[tex]\textsf{Also} \; \log_ex=\ln x[/tex]

Use the change of base formula to rewrite the given logarithm as a ratio of natural logarithms:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{e}4}{\log_{e}\dfrac{1}{3}}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln \dfrac{1}{3}}[/tex]

[tex]\boxed{\begin{minipage}{5cm} \underline{Log quotient law}\\\\$\ln \left(\dfrac{x}{y}\right)=\ln x - \ln y$\\\end{minipage}}[/tex]

This can be simplified using the log quotient rule:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln \dfrac{1}{3}}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln1 - \ln 3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{0 - \ln 3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=-\dfrac{\ln 4}{\ln 3}[/tex]

What is the y/x ratio

Answers

The angles whose measure are greater than the measure of ∠1 are ∠2, ∠3, ∠7, ∠5 .

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

[m] : slope[c] : y - intercept

Given is a graph as shown in the image.

The ratio of {y/x} is called the slope of a line. So, we can write -

m = 3/2

m = 1.5

Therefore, the ratio of [y] by [x] is equivalent to 1.5.

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A newsletter publisher believes that 43% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis.

Answers

The conclusion regarding the test of the hypothesis is given as follows:

There is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence to conclude that the percentage is not of 43% = proportion of 0.43, hence:

[tex]H_0: p = 0.43[/tex]

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the percentage is not of 43%, hence:

[tex]H_1: p \neq 0.43[/tex]

The decision was to not reject the null hypothesis, meaning that there is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.

Missing Information

The problem asks to identify the correct conclusion from these two options:

There is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.There is sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.

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A train travelling along a straight line with constant acceleration is observed to travel consecutive distances of 1km in times of 30s and 60s respectively. Find the initial velocity of the train.

Answers

Answer:

116.7m/s

Step-by-step explanation:

distance(s) = 1km = 1 × 1000m = 1000m

Time(t) = 60– 30 = 30s

initial velocity = u

acceleration (a) = 10m/s

using the formula

S = ut + ½at²

1000 = 30u + ½ × 10 × 30²

1000 = 30u + 5 × 900

1000 = 30u + 4500

30u = 4500 – 1000

30u = 3500

divide both sides by 30

u = 116.7m/s

i hope i helped

Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?

Answers

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

The initial state of a queuing system (for example, when a restaurant first opens), is referred to as the ____ state. primary steady start-up transientintroductory

Answers

The initial state of a queuing system (for example, when a restaurant first opens), is referred to as the primary state.

In the queue system, what are the three states?

1) Orderly queue, also known as FIFO (First In, First Out) or FCFS (First Come, First Serve).

2) Stack, also known as LCFS (Last Come First Serve), or LIFO (Last In First Out).

3) SIRO (Serve in Irregular Request).

What is the queuing system's steady state?

Let P n(t) represent the probability of having n customers in the system at time t. This is the steady state of a queueing system, where the probability of the number of customers in the system is independent of t.

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Find the point of intersection between a line that is tangent to the function
() = x^2 + 4 at = −1 ,
and the function
() = x^2 − 4

Answers

There is no point of intersection between a line that is tangent to the function () = x² + 4 at = −1 , and the function () = x² − 4

What is the point of intersection about?

To find the point of intersection between the line that is tangent to the function y = x² + 4 at x = −1 and the function y = x² − 4 , we can set the two equations equal to each other and solve for x. This will give us the x-coordinate of the point of intersection.

Setting the two equations equal to each other, we have:

x^2 + 4 = x² - 4

This simplifies to:

2 = -8

This equation has no solutions, so the two functions do not intersect. This means that the point of intersection does not exist.

Alternatively, we could see that the two functions have different slopes at the point x = −1 .

The function y = x² + 4 has a slope of 2x at this point, which is equal to -2 . The function y = x² − 4 has a slope of 2x , which is equal to -2 at this point as well.

However, since the two functions have different y-intercepts, they cannot be tangent to each other at this point. Therefore, the point of intersection does not exist.

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Q30: Work out the surface of the following prism

Answers

Surface area of the given prism is 6 square cm .

How to Calculate the Surface Area of Prism?

The steps to determine the surface area of the prism are:

Step 1: Note down the given dimensions of the prism.

Step 2: Substitute the dimensions in the surface area of prism formula (2 × Base Area) + (Base perimeter × height).

Step 3: The value of the surface area of the prism is obtained and the unit of the surface area of the prism is placed in the end (in terms of square units).

The lateral area is the area of the vertical faces, in case a prism has its bases facing up and down. Thus, the lateral surface area of prism = base perimeter × height

The total surface area of a Prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height).

Area of triangular cross-section:

Area = 1/2 . b . h

Area = 1/2 . 4. 3

Area = 6 square cm

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Determine which of the lines, if any, are parallel or perpendicular. Explain.
6. Line a passes through (0, 4) and (4, 3).
Line b passes through (0, 1) and (4, 0).
Line c passes through (2, 0) and (4, 4).

Answers

Answer:

Step-by-step explanation:

c 0,4 .01

What does MW equal or mean

Answers

The value of MW in the given figure is 5.

What is meant by an angle?

In Euclidean geometry, an angle is a figure made up of two rays that have a shared vertex, also known as a common terminus, and are referred to as the angle's sides. The angles of two rays are situated in the plane containing the rays. An angle is also created when two planes intersect at an angle. These are referred to as dihedral angles. Another technique to define two curves is to specify the angle generated by rays that are tangent to the intersection of two curves. Angle is another word for how long a rotation or angle is.

Given,

In the figure,

PM=MW

It means PM is similar to MW

As given in the figure,

PM=5

Since PM is similar to MW

Then,

MW=5

Therefore, the value of MW in the given figure is 5.

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Keyshawn is asked to compare and contrast the domain and range of two functions F(x)=5x g(x)=5^x which statements could he include in his explanation

Answers

Domain is the input and range is the output of a function. By considering the options The domain of both function is all real number and The range of g(x) >0 are the correct answers.

What is Domain?

Domain is the input of a function.

What is range?

Range is the output of a function.

The domain of both functions is the set of all real numbers, since both functions are defined for all values of x.

The range of the function g(x)=5^x is the set of all positive real numbers, since any positive real number can be obtained by raising 5 to the power of a real number

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There were 616 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $6543.50. How many of each kind of ticket were purchased?

Answers

The number of the tickets purchased for upper reserve is 146 and lower is 470.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there were 616 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $6543.50.

The equations will be formed as,

L + U = 616

12.5L + 8U = 6543.5

Solve the above equations,

12.50L + 8 (616-L) = 6543.5

12.5L + 4928 - 8L = 6543.5

12.50L - 8L = 6543.5 - 4428

4.50L = 2118.5

L = 470

U = 616 - 470

U = 146

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Colette bought 1/4 of a pound of green grapes and 1/8 of a pound of red grapes. How much more did the green grapes weigh than the red grapes?

Answers

Answer:

The green grapes weigh 0.125 pounds more than the red grapes.

Step-by-step explanation:

1/4 of a pound = 0.25 pounds

1/8 of a pound = 0.125 pounds

0.25 - 0.125 = 0.125 pounds

Hope this helps :)

please help with this

Answers

The equation variation for the electric circuit is V = 25R.

How to find the equation variation of an electric circuit?

In each electric circuit, the voltage in a battery is measured in volt and the resistance in the circuit is measured in ohms.

The voltage, V is directly proportional to the resistance, R. In a given circuit the voltage is 200 volts, when the resistance is 8 ohms.

The equation variation for the circuit can be represented as follows:

V α R

V = kR

where

k = constant of proportionality

Therefore,

voltage = 200 volts

resistance = 8 ohms

200 = 8k

k = 200 / 8

k = 25

Therefore, the equation is V = 25R

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A line passes through the point (4, -8) and has a slope of 5/2

Write an equation in slope-intercept form for this line.

help me pls this is due in 30 minutes

Answers

y=5/2x+24

Step-by-step explanation:

use the formula y-y1=m(x-x1)

5/2 symbolizes m

put in 4 for y1 and put in -8 for x1

y-(4)=(5/2)(x-(-8)

y-4=5/2(x+8)

y-4=5/2x+20

y=5/2x+24

Answer:

y = 5/2x -18

Step-by-step explanation:

You want the slope-intercept equation for the line with slope 5/2 through point (4, -8).

Point-slope form

It can work well to start with the point-slope equation and rearrange it to the desired form.

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

y -(-8) = 5/2(x -4) . . . . . line with slope 5/2 through point (4, -8)

Slope-intercept form

Add -8 and eliminate parentheses

y = 5/2x -10 -8

y = 5/2x -18 . . . . . . . . simplify

The desired equation is y = 5/2x -18.

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Create a multiplication equation with a solution of 2/7

Answers

Answer:

1 / 7 · 2 = 2 / 7

What type of number is -560,114?
Choose all answers that apply:
A Whole number
B
C
D
Integer
Rational
Irrational

Answers

Answer:

It is an integer.

It is rational.

Step-by-step explanation:

A whole number is in the set

0, 1, 2, 3...

This set starts at zero and only includes zero and the positive numbers. So the given number is NOT a whole number.

It IS an integer. Integers include positive and negative numbers. That is, whole numbers and their opposites.

The number IS rational. That is, it can be written as a ratio:

-560114/1

Since it is rational, it is not irrational.

What is the equation in standard form of the line that passes through the
point (4, −8) and 1 has a slope of 1/4?

Answers

The equation in standard form of the line that has a slope of 1/4 and passes through the point (4, −8) is written as: -x + 4y = -36.

What is the Equation of a Line in Standard Form?

The equation of a line can be written in standard form as Ax + By = C.

Given the following:

A point (4, -8) = (a, b).

Slope (m) = 1/4.

Substitute m = 1/4 and (a, b) = (4, -8) into y - b = m(x - a):

y - (-8) = 1/4(x - 4)

y + 8 = 1/4(x - 4)

Rewrite the equation in standard form:

4(y + 8) = x - 4

4y + 32 = x - 4

4y = x - 4 - 32

4y = x - 36

-x + 4y = -36

The equation is: -x + 4y = -36.

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Question 1 of 9
Use the scale to help you solve the equation and find the value of x. Enter the
value of x below. x+8=10

Answers

Answer: x + 8 - 8 = 10 - 8

Simplifying the left side of the equation gives us:

x = 2

Therefore, the value of x in this equation is 2.

determine the z transform for each of the following sequences. sketch the pole-zero plot and indicate the region of convergence. indicate whether or not the (discrete time) fourier transform of the sequence exists.

Answers

The Fourier transform of this sequence does not exist

What is Fourier Transform?

The output of a Fourier transform is a function of frequency and is a mathematical transformation that breaks down functions into frequency components.

To determine the z-transform of a given sequence, we need to find the sum of the sequence's terms multiplied by z raised to the negative of the term's position. For example, given a sequence x[n], the z-transform X(z) is given by:

[tex]X(z) = sum_{n=-infinity}^{infinity} x[n] * z^{-n}[/tex]

To sketch the pole-zero plot of a z-transform, we need to plot the poles (values of z where the z-transform is infinite) and zeros (values of z where the z-transform is zero) in the complex plane. The region of convergence (ROC) is the set of values of z for which the sum defining the z-transform converges.

[tex]x[n] = a^n u[n][/tex], where a is a constant and u[n] is the unit step function[tex](u[n] = 1 for n > = 0[/tex] and [tex]u[n] = 0 for n < 0)[/tex]

The z-transform of this sequence is given by:

[tex]X(z) = sum_{n=0}^{infinity} a^n * z^{-n}= 1 / (1 - a*z^{-1})[/tex]

This z-transform has a pole at z = 1/a and a zero at z = 0. The pole-zero plot consists of a single pole at 1/a in the complex plane. The ROC is the set of values of z such that [tex]|a*z^{-1}| < 1[/tex], which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.

[tex]x[n] = (-1)^n u[n].[/tex]

The z-transform of this sequence is given by:

[tex]X(z) = sum_{n=0}^{infinity} (-1)^n * z^{-n}= 1 / (1 + z^{-1})[/tex]

This z-transform has a pole at z = -1 and a zero at z = 0. The pole-zero plot consists of a single pole at -1 in the complex plane. The ROC is the set of values of z such that [tex]|z^{-1}| < 1[/tex], which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.

[tex]x[n] = n^2 u[n].[/tex]

The z-transform of this sequence is given by:

[tex]X(z) = sum_{n=0}^{infinity} n^2 * z^{-n}= z^{-2} / (1 - z^{-1})^3[/tex]

This z-transform has poles at z = 1, z = 1, and z = 1. The pole-zero plot consists of three poles at the origin in the complex plane. The ROC is the set of values of z such that [tex]|z^{-1}| > 1[/tex], which is the region outside the unit circle centered at the origin.

Hence, The Fourier transform of this sequence does not exist.

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Can someone please answer this problem for me.

Answers

Answer:

$1 per movie

$5.50 per video game

Step-by-step explanation:

We know 5 movies and 2 video games cost $16 and 3 movies and 8 video games cost $47.

Let x be the cost of 1 movie and y be the cost of a video game.

5x + 2y = 16

3x + 8y = 47

In the first equation, lets solve for y

2y = 16 - 5x

y = 8 - 2.5x

Now, we can substitute this into the other equation.

3x + 8(8 - 2.5x) = 47

3x + 64 - 20x = 47

-17 x = - 17

x = 1

So a movie costs $1 to rent.

2y = 16 - 5(1)

2y = 11

y = 5.5

A video game costs $5.50 to rent.

The table shows the colour of the bicycles in
a bike shed.
Bookwork code: S79 EX
<
< Back
Colour Frequency
Silver
3
Green
1
a) What fraction of the bicycles are silver?
Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the bicycles that
are silver?
✓ Scroll down
Watch video
Answer >

Answers

A fraction of the bicycles which are silver is 3/4.

You should shade three (3) sections on the pie chart to show the number of bicycles that are silver.

What is a pie chart?

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors.

Based on the information provided, we can logically deduce the following parameters;

Number of silver bicycles = 3 silver bicycles.

Number of green bicycles = 1 green bicycles.

Therefore, the total number of bicycles is equal to 4 bicycles.

For the fraction of silver bicycles, we have;

Fraction = 3/4 bicycles.

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Which of the following expressions has the leftmost value on the number line?
A.-7-10 O
B. 7-10
C.10-(-7)
D.10-7

Answers

Answer:

A.-7-100. [Since it is -107]

A service club agrees to donate at least 500 hours of community service. A full member is to give 4 hours, and a pledge gives 6 hours.
(a) Write the inequality that expresses this information.
(b) Graph the inequality.

Answers

(a) 4x + 6y ≥ 500 , (b) The graph of this inequality is a line with a slope of 4/6 and a y-intercept of 500/6.

(a) The inequality expresses the total hours of community service that must be given, which is at least 500 hours. The 4x term represents the hours given by the full members, and the 6y term represents the hours given by the pledges. The ≥ symbol means that the sum of these two terms must be greater than or equal to 500.

(b) To graph the inequality, you first need to find the y-intercept, which is 500/6. Then you need to find the slope, which is 4/6. This means that the line has a positive slope and passes through the point (0, 500/6). The graph of the inequality is a line that passes through this point and has a positive slope of 4/6.

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Suppose the COMBINED area is known to be 0.10416, assume there is equal area on each side. Determine the corresponding Z-scores.A) z=±1.62 B) z=±1.58 C) z=±1.72 D) z=±1.66 E) z=±1.69 F) z=±1.49 G) None of These

Answers

An combined area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.

Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!

Z = ( x - μ)/σ

if the random variable X has a mean μ and standard deviation σ,

then transforming X using the z-score creates a random variable with mean 0 and standard deviation 1!

With that in mind, we just need to learn how to find areas under the standard normal curve, which can then be applied to any normally distributed random variable.

An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.

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Z = ( x - μ)/σ

if the random variable X has a mean μ and standard deviation σ,

An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.

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