Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:

90x − 20

What does the factor x of the first term of the expression represent?

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Solution

Given that the Perimeter is: 340 yards. Lenght is 91 yards

Since P = 2(L + W)

where L is the Length

W is the width

=> 340 = 2(91 + W)

=> 340 = 182 + 2W

=> 158 = 2W

Dividing both sides by 2

=> W = 79

Hence, the width is 79 yards

Answer: it would be 79yards

Step-by-step explanation: 91•2=182

340-182=158

158/2=79yards

Answer:

I hope this helps you! Good luck!

\(\\ \tt\longmapsto 49=(7)^2\)

\(\\ \tt\longmapsto 64=(8)^2\)

\(\\ \tt\longmapsto 81=(9)^2\)

Step-by-step explanation:

Firstly let us write the square of 0 to 10,

Hence,

49, 64, 81 and 100 are perfect squares from 40 to 100.

The least-squares regression line is a statistical tool used to determine the relationship between two variables. It calculates the line that best fits the data points in order to make predictions or draw conclusions about the relationship between the variables.

However, in this case, it does not make sense to find the least-squares regression line for the given data on the total compensation and company's stock performance of 12 randomly selected chief executive officers.

Here's why:

1. Insufficient data points: The sample size of 12 is relatively small. In order to obtain accurate and reliable regression results, it is generally recommended to have a larger sample size to account for variability and potential outliers. With only 12 data points, the regression analysis may not provide meaningful insights.

2. Non-linear relationship: The relationship between total compensation and company's stock performance may not be linear. The least-squares regression line assumes a linear relationship, but in reality, the relationship between these two variables may be more complex. It is possible that compensation and stock performance do not have a straightforward linear association, and attempting to fit a linear regression line may lead to misleading results.

3. Lack of causation: The data provided does not specify the direction of causation between total compensation and stock performance. It is possible that higher compensation is linked to better stock performance, or vice versa, or there may be other factors influencing both variables. Without additional information or a clear causal relationship, finding a regression line may not provide meaningful insights.

Instead of using the least-squares regression line, alternative statistical methods or analyses may be more appropriate for examining the relationship between total compensation and company's stock performance in this specific context.

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An example of an exponential function is y = 2^x. In this function, the base is 2, and x is the exponent.

The rate of change in an exponential function depends on the base. In this case, since the base is 2, the function will experience exponential growth. As x increases, the value of y will double each time. For example, when x = 0, y = 1 (2^0 = 1), when x = 1, y = 2 (2^1 = 2), when x = 2, y = 4 (2^2 = 4), and so on. The rate of change increases exponentially as x increases.

The graph of an exponential function with a base greater than 1, like in this example, will start with a shallow slope near the y-axis but quickly become steeper as x increases. The graph will never touch or cross the x-axis, as 2^x is always positive. The graph will show exponential growth, getting steeper and steeper as x increases. It will have a concave shape, curving upward.

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Answer:

Step-by-step explanation:

4*75 = 300 watts ( her light)

a) 2.5*300=750 w/h

b) 365*750 = 273.75  Kw/h

c)   (0.12)*273.75 = $32.85

d) 32.85 * 5,000,000 = $164,250,000.00

Answer:

a.) 750

b.) 273.75

c.) $33.00

d.) $165,000,000.00

Answers:

a. 26.2 cm

b. 13.8 cm

Steps:

a. Solution,

Length(l)=9 cm

Breadth(b)=4.1 cm

Perimeter of rectangle=2(l+b)

=2(9+4.1)

=2*13.1

=26.2 cm

b. Perimeter of triangle=a+b+c

= 3.6+3+7.2

=13.8 cm

Hope it helps

Good luck on your assignment

Answer:

\(a)26.2cm \\ b)13.8cm\)

Step-by-step explanation:

Picture A

there is a rectangle in picture a.

So, let's find the perimeter of this shape

\(perimeter \\ = l+ b+ l + b \\ = 2l + 2b \\ = 2 \times 9 + 2 \times 4.1 \\ = 18 + 8.2 \\ = 26.2cm\)

Picture B

there is a triangle in picture b

So, let's find the perimeter of the triangle.

To find the perimeter of a triangle you have add the values of three sides together.

\(perimeter \\ = 3.6 + 7.2 + 3 \\ = 13.8cm\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

First, you fill the 6L cup.

Then you add everything to the 10L. There would be a difference of 4L.

You put a line on the 6L added. And then you fill it up until it completes the 10L. Repeat the process 2 times adding water up to 10L and adding the 4L difference to the recipe.

Step-by-step explanation:

- 8L are needed for a recipe.

- You have a 6L jug and a 10L jug without graduation.

- You fill the 6L of the jug and put it in the 10L jug, and put a line that marks the 6L.

- Then you complete the 10L, empty until the water is with the same 6L of water, and repeat the process.

- So you complete 4L without having graduated jugs.

Answer:

I think the answer is B but i am not sure though

Answer: \(\theta=0, \pi\)

Step-by-step explanation:

Note \(\cot \left(\frac{\pi}{2} -\theta \right)=\tan \theta\).

\(\tan \theta=\sin \theta\\\\\frac{\sin \theta}{\cos \theta}=\sin \theta\\\\\sin \theta \left(\frac{1}{\cos \theta}-1 \right)=0\\\\\implies \sin \theta=0, \frac{1}{\cos \theta}-1=0\\\\\sin \theta=0 \implies \theta=0, \pi\\\\\frac{1}{\cos \theta}-1=0 \implies \cos \theta=1 \implies \theta=0\\\\\therefore \theta=0, \pi\)

\(TU = 2QS = 2(7)\)

\(\implies \bf TU = 14\)

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

Step-by-step explanation:

To find the number that is 175% of 31, we can use the following formula:

175% of X = 31

Mathematically, we can represent 175% as 1.75 (since percentage is a ratio out of 100).

So, the equation becomes:

1.75 * X = 31

To solve for X, we divide both sides of the equation by 1.75:

X = 31 / 1.75

Using a calculator, we can evaluate the right-hand side to find the value of X:

X ≈ 17.714

So, 175% of approximately 17.714 is equal to 31.

Answer:

17.714

Step-by-step explanation:

Answer:

a,b,d,f

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

Answer:

D. 30°

Step-by-step explanation:

QP and QR have the same length "8" , therefore, the triangle is an isosceles triangle. Opposite angles are congruent.

- ∠R = ∠P

- ∠R = 30°

-----------------------------

Answer:

C. The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.

Explanation:

Since customers were only told to call if they had concerns, all of the calls were about concerns or problems that they were having - meaning all of the calls were negative. However, they were never informed to call if they were happy or content with the product, meaning they were never informed of the people who had positive comments, only negative.

Answer:

y = 7/4x - 3

Step-by-step explanation:

y = mx + b

y = 7/4x - 3

the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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The system specifications may not be consistent if the router doesn't support the new address space. The reason is that the router must be compatible with the addressing scheme used by the system for proper communication.

If the router does not support the new address space, there might be issues with the system's performance or accessibility. The address space is the number of unique IP addresses that are available in a network. An IP address is required to identify each device on a network and to enable communication between devices.

With the increasing number of devices on a network, new address spaces are required to ensure that each device has a unique IP address. The compatibility of system specifications is a crucial aspect that must be considered when building a system. If the system specifications are not consistent, it might cause the system to malfunction, resulting in poor performance or accessibility issues. Thus, it is important to ensure that the router supports the new address space before integrating it into the system.

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Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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The output energy spectral density ψy(f) is  \(sinc^2\)(f) * rect(f/(a+2)).

To determine the output energy spectral density ψy(f), we need to find the Fourier transform of the autocorrelation function Rx(τ) and multiply it by the magnitude squared of the Fourier transform of the impulse response H(f).

Given:

Rx(τ) = \(sinc^2\)((a+2)τ)

h(t) = rect(t-(a+1))

First, let's find the Fourier transform of Rx(τ):

Rx(f) = F{Rx(τ)} = F{\(sinc^2\)((a+2)τ)}

Using the property of the Fourier transform, the squared sinc function transforms to a rectangular function:

Rx(f) = rect(f/(a+2))

Next, let's find the Fourier transform of the impulse response h(t):

H(f) = F{h(t)} = F{rect(t-(a+1))}

Using the shifting property of the Fourier transform, we get:

H(f) = \(e^{-j2\pi f(a+1)\)sinc(f)

Now, we can calculate the output energy spectral density ψy(f) by multiplying the Fourier transforms of Rx(τ) and h(t):

ψy(f) = \(|H(f)|^2\) * Rx(f)

ψy(f) = \(|e^{-j2\pi f(a+1)}sinc(f)|^2\) * rect(f/(a+2))

Simplifying, we have:

ψy(f) = \(sinc^2\)(f) * rect(f/(a+2))

Therefore, the output energy spectral density ψy(f) is \(sinc^2\)(f) multiplied by a rectangular function centered at f/(a+2).

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Answer:

x = - 1/7

Step-by-step explanation:

Answer:

There is no answer

Step-by-step explanation:

82 can not equal $14.00, however if you mean 82x=14.00, the answer will be 0.17 (7/41), and if you mean 82=14x, the answer will be 5.86 (41/7)

The statement ''Quasi-experiments examine relationships between the manipulated variable (iv) and the dv while experiments examine causation between these variables.'' is false because -

Quasi-experiments and experiments differ in terms of the level of control over the independent variable (IV) and the ability to establish causal relationships between the IV and the dependent variable (DV).

In quasi-experiments, the researcher does not have full control over the assignment of participants to different groups or conditions.

Quasi-experiments typically involve naturally occurring groups or conditions, such as pre-existing groups, different locations, or different time periods.

Quasi-experiments examine relationships between the manipulated variable (IV) and the DV but do not have the same level of control as experiments.

While they can identify associations or correlations between variables, they cannot establish causal relationships with certainty due to the potential influence of confounding variables.

Experiments, on the other hand, involve the random assignment of participants to different groups or conditions, allowing for greater control over the manipulation of the IV.

Experiments are designed specifically to establish causal relationships between the IV and the DV by ensuring that any observed effects are due to the manipulation of the IV and not other factors.

Therefore, it is false to say that quasi-experiments examine relationships between the manipulated variable (IV) and the DV, while experiments examine causation between these variables.

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The probability that the taxi was actually blue is 0.61.

Witnesses are right 77% of the time. This means that they are incorrect 23% of the time. Furthermore, 25% of the taxis were blue while the rest were green. Since these are the only two choices, it follows that 75 percent of the taxis are green.

Using Bayes' Theorem, we can calculate the probability that the taxi was blue:

P (Taxi is blue|Witness said it was blue)

P (Witness said it was blue|Taxi is blue)

P (Taxi is blue)

P (Witness said it was blue|Taxi is green)

P (Taxi is green)

To begin, we must determine the probabilities of each of these:

P (Taxi is blue) = 0.25

P (Taxi is green) = 0.75

P (Witness said it was blue|Taxi is blue) = 0.77

P (Witness said it was blue|Taxi is green) = 0.23

To get the result we multiply all of them together:

P (Taxi is blue|Witness said it was blue) = P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) / [P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) + P (Taxi is green) × P (Witness said it was blue|Taxi is green)]P (Taxi is blue|Witness said it was blue) = 0.25 × 0.77 / (0.25 × 0.77 + 0.75 × 0.23)

P (Taxi is blue|Witness said it was blue) = 0.61

Therefore, the probability that the taxi was actually blue is 0.61.

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True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5