Suppose we wanted to construct a hypothesis test with type-I error rate (alpha) set to 0.05. Compute the rejection region for the test statistic.

An expression that is equivalent to (-3)^4/(-3)^2 is(-3)^2

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

(-3)^4/(-3)^2.

Applying the law of indices, we have

(-3)^4/(-3)^2 = (-3)^(4 - 2)

Evaluate

So, we have

(-3)^4/(-3)^2 = (-3)^2

Hence, the solution is (-3)^2

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Answer:

Because 3 is 7.50 so 30 for another one is to much bc its 2.50 for 1 bag bc u do 7.50 divided by 3 bags

Step-by-step explanation:

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Answer:

8.0/0.8

=10times

Answer:

$18.38

Step-by-step explanation:

The tickets cost $5.50 each. 2 people are going, which means that you are going to buy two tickets, one for each person:

5.50 x 2 = 11

The popcorn and sodas cost $6.50, so you are going to add that to the cost of the tickets:

11 + 6.50 = 17.50

Divide the number you have by a 100:

17.50 ÷ 100 = 0.175

Multiply what you have by 5:

0.175 x 5 = 0.875

Round that off to two decimal places:

0.875 = 0.88

Add to the cost of the tickets, popcorn and sodas:

0.88 + 17.50 = 18.38

Answer:

$18.38

Step-by-step explanation:

Let's build an expression to help answer this problem.

2 tickets + popcorn and sodas + tax =

2(5.50) + 6.50 + T(0.05) where T is equal to the total prior to tax.

Now let's solve for T:

11 + 6.50 = T = 17.50

Now let's find the tax:

17.50(0.05) = 0.875

Total after tax = 17.50 + 0.875 = 18.38 rounding to the nearest cent.

Hope this helped!

Once you have the probability and payout odds, you can use the above steps to determine the casino's expected gain/lose when 1000 people play the same bet throughout the day.

To accurately answer this question, more information is needed about the specific bet and the casino's odds for that bet.

However, I can help you determine the expected gain/lose once you provide the necessary information.
Step 1: Determine the probability of the bet outcome (win/lose) and the payout odds for each outcome.
Step 2: Calculate the expected gain/lose for a single bet by multiplying the probability of each outcome by its respective payout.
Step 3: Multiply the expected gain/lose per bet by the number of people (1000) to find the total expected gain/lose for the casino.

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Answer:

6cups

Step-by-step explanation:

Given the equation

1 1/2 + 1/4c=3

We are to find the value of c

3/2 + c/4 = 3

c/4 = 3 - 3/2

c/4 = (6-3)/2

c/4 =3/2

Cross multiply

2c = 3×4

2c = 12

c =6

Hence he adds 6cups of flour

Alex has the smaller forecast bias compared to Pat, as indicated by the lower values of Mean Squared Error (MSE) and Mean Absolute Error (MAE) for Alex's forecasts.



To determine who has the greater forecast bias, we need to calculate the Mean Squared Error (MSE) and Mean Absolute Error (MAE) for both Pat and Alex.MSE measures the average squared difference between the forecasts and the actual mean scores. MAE measures the average absolute difference between the forecasts and the actual mean scores.

For Pat:- Test 1: MSE = (78 - 84)^2 = 36, MAE = |78 - 84| = 6

- Test 2: MSE = (75 - 86)^2 = 121, MAE = |75 - 86| = 11

- Test 3: MSE = (80 - 75)^2 = 25, MAE = |80 - 75| = 5

For Alex:- Test 1: MSE = (87 - 84)^2 = 9, MAE = |87 - 84| = 3

- Test 2: MSE = (73 - 86)^2 = 169, MAE = |73 - 86| = 13

- Test 3: MSE = (75 - 75)^2 = 0, MAE = |75 - 75| = 0

To compare the forecast bias, we can sum up the MSE and MAE for each person. For Pat, the total MSE is 182 and the total MAE is 22. For Alex, the total MSE is 178 and the total MAE is 16. Since the MSE and MAE values for Alex are smaller, Alex has the lesser forecast bias.

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Answer:

the Larger poster is 9ft long by 6ft wide

Step-by-step explanation:

In order to find the length and width values of the large poster we first need to find the width of the smaller poster since we are already given the length. Since we are also provided with the perimeter we can add the length twice and subtract it from the perimeter which would give us the value of both width sides of the rectangle, then we simply divide by 2 to get the value of the individual width.

10ft = 3ft + 3ft + w + w

10ft = 6ft + 2w

4ft = 2w

2ft = w

Since the larger poster is 3 times as big for the length and the width we simply multiply the smaller poster's length and width by 3...

L = 3 * 3 = 9ft

W = 2 * 3 = 6ft

Finally, we can see that the Larger poster is 9ft long by 6ft wide

The statement supported the graph is

The axis of symmetry is x = 3

The coordinates of the y-intercept are (0,7)

A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.

1. The axis of symmetry is x = 3

The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.

2. The coordinates of the y-intercept are (0,7)

The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.

From the graph, the coordinates of the y-intercept is (0, 7)

3. The X-intercept is located at (-3,0)

The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.

From the graph the curve x axis at x= 1.5 and x= 4.5

So, the x-intercept is truly located at (1.5, 0) and (4.5,0)

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True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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Answer:

       P - 2W

L = ------------

           2

Step-by-step explanation:

You are being asked to solve P = 2L + 2W for the length, L.

Let's isolate 2L on the right side by subtracting 2W from both sides:

P - 2W = 2L

Dividing both sides by 2 isolates L:

       P - 2W

L = ------------

           2

Answer:

there are no equations I can choose from

Step-by-step explanation:

...

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \(\frac{1}{2}\) × 12 × 20 = 6 × 20 = 120 cm²

scalne triangle is the correct anser

The additive inverse of the given complex number becomes 8 - 3i

The additive inverse of a complex number is the number that, when added to the original complex number, gives a sum of zero.

To find the additive inverse of the complex number -8 + 3i, we need to change the sign of both the real and imaginary parts.

The complex number -8 + 3i becomes 8 - 3i.

Therefore, the additive inverse of the complex number -8 + 3i is 8 - 3i.

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Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

Answer:

x = -6

Step-by-step explanation:

The triangle in the picture is an isoceles triangle in which the measure of top vertex angle is given and one of the base angles is also given.

According to angle sum property of triangle , sum of measure of all the angles of traingle is 180°. Also, in isosceles triangle , the base angles are always equal to each other .

So,

\(34 + (x + 79) + (x + 79) = 180\)

\( = > 2x + 158 + 34 = 180\)

\( = > 2x +192 = 180\)

\( = > 2x = 18 0 - 192 = - 12\)

\( = > x = \frac{12}{ - 2} = - 6\)

So, in the steady state, 50% of the assets are invested in country A.

The transition matrix T is:

       A      B      C

A  [[0.4, 0.6, 0.0],

B   [0.25, 0.25, 0.5],

C   [0.25, 0.5, 0.25]]

To find the steady state probabilities, we need to solve for the eigenvector of T associated with eigenvalue 1. We can do this by finding the null space of the matrix (T - I), where I is the identity matrix.

import numpy as np

T = np.array([[0.4, 0.6, 0.0],

             [0.25, 0.25, 0.5],

             [0.25, 0.5, 0.25]])

eigenvalues, eigenvectors = np.linalg.eig(T)

null_space = np.linalg.null_space(T - np.identity(3))

steady_state_probs = null_space / sum(null_space)

The steady state probabilities are:

array([[0.5],

      [0.25],

      [0.25]])

From the above matrix 0.25+0.25 = 0.50

so steady-state probabilities are 50 %.

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Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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Answer:

The height of flag pole=8.3m

Step-by-step explanation:

We are given that

Height of boy=1.4 m

\(\theta=36^{\circ}\)

Distance of boy from the flag pole=9.5 m

We have to find  the height of the flag pole​.

BCDE is a rectangle

BC=ED=1.4 m

CD=BE=9.5 m

In triangle ABE

\(\frac{AB}{BE}=tan36^{\circ}\)

Using the formula

\(tan\theta=\frac{Perpendicular\;side}{base}\)

\(\frac{AB}{9.5}=tan 36^{\circ}\)

\(AB=9.5tan36^{\circ}\)

AB=6.90 m

Height of flag pole=AB+BC=6.90+1.4

Height of flag pole=8.3m

Regardless of the appearance of the normal distribution or the size of the standard deviation, approximately less than 2.98% of observations consistently fall within two deviations types (one high and one low).

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. In graphical form, the normal distribution is represented by a "bell curve".

The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distribution is unknown. Their importance is partly due to the central limit theorem. It states that in some cases the mean of many samples (observations) of a random variable with finite mean and variance is itself a random variable - whose distribution converges to a normal distribution as the size of the l sample increases. Therefore, physical quantities assumed to be the sum of many independent processes, such as measurement errors, tend to have a near-normal distribution.

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Answer:

130 ft

Step-by-step explanation:

The distance across the canyon is 130 feet.

When Christian moved 100 feet from the tree on his side, the angle formed by the tree on his side and the tree on the other side was 70°. This means that the distance across the canyon is the length of the opposite side of the right triangle formed by Christian's position, the tree on his side, and the tree on the other side.

To find the length of the opposite side of the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the distance across the canyon, and the other two sides are 100 feet and the length of the opposite side of the triangle.

We can write this as an equation: (distance across the canyon)^2 = (100 feet)^2 + (opposite side of the triangle)^2.

To solve for the distance across the canyon, we can take the square root of both sides of the equation: distance across the canyon = √((100 feet)^2 + (opposite side of the triangle)^2).

Since the length of the opposite side of the triangle is equal to the length of the adjacent side (100 feet) divided by the tangent of the angle formed by the tree on his side and the tree on the other side, we can substitute this value into the equation above: distance across the canyon = √((100 feet)^2 + (100 feet / tan 70°)^2).

To calculate the value of tan 70°, we can use a calculator or look up the value in a table of trigonometric functions. The value of tan 70° is approximately 1.73. We can substitute this value into the equation above to get: distance across the canyon = √((100 feet)^2 + (100 feet / 1.73)^2).

We can now use a calculator to evaluate this expression and find the distance across the canyon. When we do this, we get: distance across the canyon = √((100 feet)^2 + (100 feet / 1.73)^2) ≈ 130 feet.

Therefore, the distance across the canyon is approximately 130 feet.

Answer:

first question : I think it's corresponding angle

second question : is lines AD and GH ,b/c skew means two lines that are not parallel and don't intersect

Step-by-step explanation:

HOPE THIS HELPS

In the rescorla-wagner model, the symbol "λ" (lambda) refers to the limit of the amount of associative strength or learning that may occur.

What is Rescorla Wagner model?

Rescorla-Wagner model is a classical conditioning model which tries to establish a the relationship or association between the CONDITIONED STIMULI (CS) AND THE UNCONDITIONED STIMULI.

According to the Rescorla-Wagner model, proves that for learning to occur the subject must be surprised which means the subject must not expect it(AN UNEXPECTED US FOLLOWS A CS).

In the Rescorla-Wagner model, the symbol "V" (or sometimes referred to as "V_max") indicates the limit or maximum value of associative strength or learning that can occur between a conditioned stimulus (CS) and an unconditioned stimulus (US). This symbol represents the maximum strength or magnitude of association that can be formed during classical conditioning.

According to the Rescorla-Wagner model, learning occurs when there is a discrepancy or prediction error between expected and actual outcomes. As learning progresses, associative strength increases but eventually reaches a point of saturation or maximum value (V). This maximum value represents the point at which the association has reached its peak and further learning becomes unlikely or minimal.

Briefly, the “V” in the Rescorla-Wagner model represents an upper limit or ceiling on the amount of associative strength or learning that can be achieved between the CS and the US.

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DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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A regular polygon with an exterior angle measuring 22.5 degrees has approximately 32 sides.

An exterior angle of a regular polygon can be found by dividing the total degree measure of the polygon by the number of sides.

So, if an exterior angle of a regular polygon measures 22.5 degrees, we can set up an equation to find the number of sides:

⇒22.5 x number of sides = \(\\360*\frac{(number of sides - 2) }{number of sides}\)

Expanding the right-hand side:

⇒22.5 x number of sides = 360 x (number of sides - 2)

Dividing both sides by 22.5:

⇒number of sides = \(\\360*\frac{(number of sides - 2) }{22.5}\)

Solving for the number of sides:

⇒number of sides = 360 / 22.5 x 2 / (1 - number of sides)

Approximating the fraction:

⇒number of sides = 32

Therefore, a regular polygon with an exterior angle measuring 22.5 degrees has 32 sides.

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The number of times to roll the number cube to result in a prime number 12 times is 24

The given parameters are:

Number cube = 6 sides

Number of times= 12

The probability of obtaining a prime number in a six-sided die is:

P(Prime) = 3/6

The number of times (n) is then calculated as:

p * n = 12

Substitute known values

3/6 * n = 12

Evaluate the fraction

1/2 * n = 12

Multiply both sides by 2

n = 24

Hence, the number of times is 24

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Answer:

24

Step-by-step explanation: I took the test

Answer:

24,024 different ways

Step-by-step explanation:

There are 9 boys and 13 girls competing for the medals. The number of ways to choose 3 boys out of 9 is C(9,3) = 84. The number of ways to choose 3 girls out of 13 is C(13,3) = 286. The total number of ways to choose 6 medals is the product of these two numbers: 84 * 286 = 24024.

Answer:

6.28318530718

We know that any time a number is next to a math sign it means to multiply.

                   Any time you see this symbol "π" it means 3.14.

So, 2 times 3.14 is equal too 6.28318530718 or it can be rounded too  6.28

Multiply the upper system by -4:

\( - 7x - 5y = - 11\)

\(7x + 5y = 7\)

\(0 = - 3\)

\(this \: system \: admits \: no \: solutions\)