Suppose you carry out a two-sided hypothesis test using a sample mean of 15 observations and obtain a test statistic T = -2.78. The p-value associated with this test statistic is:
a. Between 0.02 and 0.05
b. Less than 0.01
c. Between 0.05 and 0.10
d. Between 0.01 and 0.02
e. Between 0.10 and 0.20

a. A central angle is: angle GFH; b. A major arc is: arc GJH; c. A minor arc is: arc GH.

d. measure of arc GJH = 265°; e. measure of angle GH = 95°

A major arc is an arc of a circle that measures greater than or equal to 180 degrees. It is sometimes called a large arc or a wide arc. If a circle has a central angle that measures more than 180 degrees, then the corresponding arc is a major arc.

On the other hand, a minor arc is an arc of a circle that measures less than 180 degrees. It is also called a small arc or a narrow arc. If a circle has a central angle that measures less than 180 degrees, then the corresponding arc is a minor arc.

Using the information given, we have:

a. A central angle in the figure given is: angle GFH.

b. A major arc in the figure given is: arc GJH.

c. A minor arc in the figure given is: arc GH.

d. measure of arc GJH = 360 - measure of arc GH

Measure of arc GH = measure of angle GFH = 95°

Therefore:

measure of arc GJH = 360 - 95 = 265°.

e. measure of angle GH = 95°

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Answer:

9⁶

Step-by-step explanation:

\(\dfrac{9^2}{9^{-4}} = 9^2 9^{4} = 9 ^ {(2 + 4)} = 9^6\)

Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent

So
\(\dfrac{1}{9^{-4}} \text{ becomes } 9^4\)

For a membership to be worth it to Stewart, the number of days he will have to go to the gym would be 20 days

Assuming the number of days that would make the gym membership worth it is x, the formula for finding the total cost of gyming with the membership fee is:

= 50 + 5. 50 x

The number of days as a nonmember would be:

= 8 x

The number of days till the membership is worth it is therefore:

8x = 50 + 5.50 x

8x - 5.50 x = 50

2. 50x = 50

x = 50 / 2. 50

x = 20 days

Stewart has to for for at least 20 days

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In this context, the definition of random is an unbiased result of the action of flipping said coin. It has not been tampered with, nothing has been done to change the outcome, there is nothing that with make the outcome lean to one specific answer.

Calculator with inverse tangent is a calculator with  four basic arithmetic operations and variety of functions such as logarithms, exponents, trigonometric functions etc.

A calculator with inverse tangent, commonly known as a scientific calculator, is a type of electronic calculator designed to perform mathematical calculations beyond basic arithmetic. In addition to the four basic arithmetic operations (addition, subtraction, multiplication, and division), it includes a variety of functions such as logarithms, exponents, trigonometric functions (sine, cosine, tangent), and their inverse functions (arcsine, arccosine, and arctangent).

The inverse tangent function, also known as arctangent, is one of the trigonometric functions that is commonly included in scientific calculators. It is used to determine the angle between the x-axis and a line drawn between the origin and a point on the graph of a function. In other words, it helps to find the angle whose tangent is a given number.

To use the inverse tangent function on a calculator, you will typically need to press the "tan^-1" or "arctan" button, followed by the number you want to find the arctangent of. The calculator will then display the angle in radians or degrees, depending on the mode it is set to.

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Answer:

the Riemann Sum for $f(x)=2x^2$ with four equal subintervals using right-hand endpoints as the sample points is $\frac{15}{2}$.

Step-by-step explanation:

To evaluate the Riemann Sum for the function $f(x)=2x^2$ with four equal subintervals using right-hand endpoints as the sample points, we first need to determine the width of each subinterval. Since we have four subintervals to cover the interval $[0, 2]$, each subinterval has a width of $\Delta x = \frac{2-0}{4} = \frac{1}{2}$.

Next, we need to choose a sample point from each subinterval to evaluate the function. Since we are using right-hand endpoints as the sample points, we choose the endpoint of each subinterval as the sample point. The four subintervals are:

$[0, \frac{1}{2}]$, with sample point $x_1 = \frac{1}{2}$

$[\frac{1}{2}, 1]$, with sample point $x_2 = 1$

$[1, \frac{3}{2}]$, with sample point $x_3 = \frac{3}{2}$

$[\frac{3}{2}, 2]$, with sample point $x_4 = 2$

The Riemann Sum is then given by:

∑i=14f(xi)Δx=f(x1)Δx+f(x2)Δx+f(x3)Δx+f(x4)Δx=2(12)2⋅12+2(1)2⋅12+2(32)2⋅12+2(2)2⋅12=12+2+92+4=152i=1∑4​f(xi​)Δx​=f(x1​)Δx+f(x2​)Δx+f(x3​)Δx+f(x4​)Δx=2(21​)2⋅21​+2(1)2⋅21​+2(23​)2⋅21​+2(2)2⋅21​=21​+2+29​+4=215​​

Therefore, the Riemann Sum for $f(x)=2x^2$ with four equal subintervals using right-hand endpoints as the sample points is $\frac{15}{2}$.

The Riemann Sum is 15/2 or 7.5.

To evaluate the Riemann Sum for the function f(x) = 2x^2 on the interval [0, 2] using 4 equal subintervals and right-hand endpoints, follow these steps:

1. Determine the width of each subinterval:
  Δx = (b - a) / n = (2 - 0) / 4 = 0.5

2. Identify the right-hand endpoints of each subinterval:
  x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2

3. Evaluate the function at each right-hand endpoint:
  f(x1) = 2(0.5)^2 = 0.5
  f(x2) = 2(1)^2 = 2
  f(x3) = 2(1.5)^2 = 4.5
  f(x4) = 2(2)^2 = 8

4. Calculate the Riemann Sum using these values:
  Riemann Sum = Δx * (f(x1) + f(x2) + f(x3) + f(x4))
  Riemann Sum = 0.5 * (0.5 + 2 + 4.5 + 8)
  Riemann Sum = 0.5 * (15)
  Riemann Sum = 7.5

The Riemann Sum for the given function using 4 equal subintervals and right-hand endpoints is 7.5, which is not among the provided options. However, the closest answer choice would be 15/2 or 7.5.

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To find the predicted consumption, we can plug the given values into the regression equation:

C = 193 + 0.65 GDP + 0.08 (% change in stock price)

Given:

GDP = 200

% change in stock price = -20% (or -0.2)

Substituting the values:

C = 193 + 0.65 * 200 + 0.08 * (-0.2)

C = 193 + 130 - 0.016

C = 322.984

Rounding to two decimal places, the predicted consumption, when GDP is 200 and the share market falls by 20%, is approximately 322.98.

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The total amount that the band earns when the concert  sells out is $18566.50

Given,

Number of seats in The Playhouse Concert Hall = 523

The cost for one ticket charged by The Pink Ladies rock band who holds a concert = $35.50

We have to find the total amount that the band earns when the concert  sells out;

Total amount = Number of seats x Cost for one ticket

Total amount = 523 x 35.50

Total amount that the band earn = $18566.5

That is,

The total amount that the band earns when the concert  sells out is $18566.50

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Standing on your hat or any other object would not allow you to move on the frictionless ice to reach point B.

No, you would not be able to reach point B by standing on your hat or any other object. In a frictionless environment, any force you exert on an object would result in an equal and opposite reaction, according to Newton's third law of motion.

By standing on your hat and pushing against it, you would create a force in one direction, but an equal and opposite force would be exerted on you, pushing you in the opposite direction. This is known as the conservation of momentum.

Since the ice is frictionless, there is no external force to propel you forward. As a result, your attempt to move by standing on your hat would cancel out the forces and keep you in the same position. The hat would simply slide in the opposite direction, and you would not be able to reach point B.

Therefore, standing on your hat or any other object would not allow you to move on the frictionless ice to reach point B.

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Answer:

2.5

Step-by-step explanation:

Taking eguation i

4x+y=13

x= 13-y/4

Taking equation ii

x-y = 2

Substituting the value of x in eq i from ii

x- y =2

13-y/4- y=2

13-y-y=2×4

13-2y =8

-2y=8-13

y=-5/-2

Therefore y=2.5

Answer:

26

Step-by-step explanation:

26 is the greatest number because 5.2 is a single digit and has lower value than 26.

26 > 5.2

Hope this helps!

Answer:

e^(1 - x)- 1  

Step-by-step explanation:

After walking 46m to the north, if you turn 90 degrees to your right and walk another 45 m, then the total distance from where you originally started is 79m.

The correct option is C) 79m.How to solve?We can solve this problem using the Pythagoras theorem. When you walk 46 m to the north and then turn 90 degrees to your right and walk 45 m, then you form a right-angled triangle as shown below:So, as per the Pythagoras theorem:

hypotenuse² = opposite side² + adjacent side²

where opposite side = 45mand adjacent side

= 46mhypotenuse² = (45m)² + (46m)²hypotenuse²

= 2025m² + 2116m²hypotenuse²

= 4141m²hypotenuse = √4141m²

hypotenuse = 64mSo,

the total distance from where you originally started is 46m (North) + 45m (East) = 79m.Applying the Pythagoras theorem again to solve the given problem gave us the answer that the total distance from where you originally started is 79m.

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In both cases, for a line of k+1 people, there exists a woman directly in front of a man. Thus, by mathematical induction, the statement holds true for all positive integers n where the first person is a woman and the last person is a man.

To prove this statement using mathematical induction, we will first establish a base case. When n = 2, there are only two people in the line, and the statement is true. The first person is a woman and the last person is a man, and therefore the woman is directly in front of the man.

Next, we assume that the statement is true for n = k, where k is a positive integer. That is, if k people stand in a line with a woman first and a man last, then there is a woman directly in front of a man somewhere in the line.

Now, we need to show that the statement is also true for n = k + 1. Suppose k + 1 people stand in a line, with a woman first and a man last. We can remove the first person (the woman) and consider the remaining k people. By our induction hypothesis, there is a woman directly in front of a man somewhere in this line of k people.

Now, we have two cases for the position of the woman and man in the line of k people:

Case 1: The woman directly in front of the man is in the first k positions. In this case, we can add the first person back into the line, and the statement is true for n = k + 1.

Case 2: The woman directly in front of the man is in the last k positions. In this case, we can remove the first person and consider the line of k people from the second person to the last person. By our induction hypothesis, there is a woman directly in front of a man somewhere in this line of k people. When we add the first person back into the line, this woman will be directly in front of the man, and the statement is again true for n = k + 1.

Therefore, by mathematical induction, we have shown that if n people stand in a line, where n is a positive integer, and if the first person in the line is a woman and the last person in line is a man, then somewhere in the line there is a woman directly in front of a man.

Mathematical induction to prove the given statement. We'll use the terms base case, induction hypothesis, and induction step.

Base case (n=2): When there are two people in the line (a woman followed by a man), it's clear that there's a woman directly in front of a man. This establishes our base case.

Induction hypothesis: Assume that for some positive integer k, if there are k people in a line with a woman at the beginning and a man at the end, there exists a woman directly in front of a man.

Induction step: Let's prove this for k+1 people. We have two cases:

1. If the second-to-last person is a woman, we can remove the last man and have a line of k people. By the induction hypothesis, there exists a woman directly in front of a man in this line, and this also holds for the k+1 people line.

2. If the second-to-last person is a man, we can remove the first woman and have a line of k people. By the induction hypothesis, there exists a woman directly in front of a man in this line. When we add back the first woman, she is now directly in front of the second-to-last man, which also satisfies the condition.

In both cases, for a line of k+1 people, there exists a woman directly in front of a man. Thus, by mathematical induction, the statement holds true for all positive integers n where the first person is a woman and the last person is a man.

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Answer:

i will go look

Step-by-step explanation:

The value of (Ā.V)B on the given vector space is x³i + xyzj — x²yk + 2x²yi + 2y²zj — 2xy²k

The given function is 0 = x²y³z⁴. To find the maximum directional derivative, we need to calculate the gradient of the function first.

The gradient of the function is given as, grad(f) = (df/dx) i + (df/dy) j + (df/dz) k

Now, we need to find the partial derivatives of the given function with respect to x, y, and z.  Let's find the partial derivative of f with respect to x.fx = ∂f/∂x = 2xy³z⁴

Here's the partial derivative of f with respect to y.fy = ∂f/∂y = 3x²y²z⁴

And, here's the partial derivative of f with respect to z.fz = ∂f/∂z = 4x²y³z³

Now, the gradient of the function is: grad(f) = (2xy³z⁴) i + (3x²y²z⁴) j + (4x²y³z³) k

Now, we need to find the maximum directional derivative of the given function. We know that the directional derivative is given by the dot product of the gradient and a unit vector in the direction of the maximum derivative.

Therefore, the directional derivative is given as follows: Dᵥ(f) = ∇f . V, where V is the unit vector.

Dᵥ(f) = (2xy³z⁴) i + (3x²y²z⁴) j + (4x²y³z³) k . V

Now, let's find the unit vector in the direction of the maximum derivative. We know that the unit vector is given as: V = (a/|a|) i + (b/|b|) j + (c/|c|) k

where a, b, and c are the directional cosines.

Let's assume the maximum directional derivative occurs in the direction of the vector V = ai + bj + ck. Therefore, the directional cosines are given as follows:

a/|a| = 2xy³z⁴b/|b| = 3x²y²z⁴c/|c| = 4x²y³z³

Therefore, the vector V is given as:

V = (2xy³z⁴/|2xy³z⁴|) i + (3x²y²z⁴/|3x²y²z⁴|) j + (4x²y³z³/|4x²y³z³|) k

= (2xy³z⁴/√(4x²y⁶z⁸)) i + (3x²y²z⁴/√(9x⁴y⁴z⁸)) j + (4x²y³z³/√(16x⁴y⁶z⁶)) k

= 2xy³z/2xy²z⁴ i + 3x²y²z/3x²y²z³ j + 2xy³/2xy³z³ k= i/z + j/z + k

Therefore, the directional derivative is given as follows:

Dᵥ(f) = (2xy³z⁴) i + (3x²y²z⁴) j + (4x²y³z³) k . (i/z + j/z + k)

= (2xy³z⁴/z) + (3x²y²z⁴/z) + (4x²y³z³/z)

= (2xy²z³) + (3x²yz²) + (4x²y²z)

Now, we need to find the maximum value of Dᵥ(f). For that, we need to find the critical points of Dᵥ(f). Let's find the partial derivatives of Dᵥ(f) with respect to x, y, and z.

Here's the partial derivative of Dᵥ(f) with respect to x.

∂/∂x [(2xy²z³) + (3x²yz²) + (4x²y²z)] = 4xy²z + 6xyz²

Now, the partial derivative of Dᵥ(f) with respect to y.

∂/∂y [(2xy²z³) + (3x²yz²) + (4x²y²z)] = 2xy³z² + 6xyz²

And, the partial derivative of Dᵥ(f) with respect to z.

∂/∂z [(2xy²z³) + (3x²yz²) + (4x²y²z)] = 2xy²z² + 4x²y³

From the above three partial derivatives, we get,

4xy²z + 6xyz² = 0              -----(1)

2xy³z² + 6xyz² = 0         -----(2)

2xy²z² + 4x²y³ = 0      -----(3)

From equation (1), we get, 4yz + 6xz = 06xz = -4yzx = -4yz/6z = -2yz/3

Substitute the value of x in equation (3)

2y(-2yz/3)² + 4(-2yz/3)²y³ = 0

2y(4y²z²/9) + 4y³(4y²z²/9) = 0

2y(4y²z²/9) + 16y⁵z²/9 = 08y³z² = 0

9y²z² = 1y²z² = 1/9y = ± 1/3√z = ± 3√3/9

On substituting the values of x, y, and z, we get the maximum directional derivative as follows:

Dᵥ(f) = (2xy²z³) + (3x²yz²) + (4x²y²z)

= (2)(-2/3)((1/3)²)(3√3)³ + (3)(4/9)((-1/3)²)(3√3)² + (4)((-2/3)²)((1/3)²)(3√3)

= (-16/27)(27√3) + (4/9)(3)(3) + (4/9)√3

= -16√3/9 + 4 + 4√3/9= 4 + 3√3

Therefore, the maximum directional derivative is 4 + 3√3, and it occurs in the direction of the vector V = i/z + j/z + k.Let's find the value of (A bar.V)B. Here are the given vectors.

à = 2yzî — x²yĵ + xz²kB = x²î + yzĵ — xyk

Now, let's calculate Ā.V.Ā.V = Ã . V

Here's the vector V. V = i/z + j/z + k

Now, let's find the dot product of à and

V.Ã.V = (2yzî — x²yĵ + xz²k) . (i/z + j/z + k)= 2yz(i/z) — x²y(j/z) + xz²(k)= 2y — xy + x= x + 2y

Now, we need to find (x + 2y).B.

Here's the vector B. B = x²î + yzĵ — xyk

Now, let's calculate

(Ā.V)B.(Ā.V)B = (x + 2y) B= (x + 2y)(x²i + yzj — xyk)= x³i + xyzj — x²yk + 2x²yi + 2y²zj — 2xy²k

Therefore, the value of (Ā.V)B is x³i + xyzj — x²yk + 2x²yi + 2y²zj — 2xy²k.

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Answer:

Step-by-step explanation: This is not a function because if you do a pencil check on the points two dots touch the pencil at the same time which does not make it a function.

Three consecutives even integers are 42, 44, and 46.

The three consecutives even integers can be represented as x, x+2, and x+4. We can create an equation to solve for x, using the given information.

3(x+4) = 52 + x + (x+2)

3x + 12 = 54 + 2x

x = 42

Therefore, the three consecutives even integers are 42, 44, and 46. To explain this answer, we can use the equation we created. We know that the sum of the smaller two integers is 52 less than three times the largest. We can represent this as 3(x+4) = 52 + x + (x+2). We can then solve for x by subtracting 2x from both sides and adding 12 to both sides, resulting in x = 42. This means that the three consecutives even integers are 42, 44, and 46.

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Answer:

$0.45.

Step-by-step explanation:

Total amount of money held by all 5 children

= 5 * 0.50 = $2.50.

After 0.25 is lost the total = $2.25.

So the new average = 2.25 / 5

= $0.45.

The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.

To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.

Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30

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PLEASE GIVE BRAINLIEST <33

Answer:

The answer is 30

Step-by-step explanation:

First we'll start with PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

We'll start with multiplication: 1x0=0

Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1

Since we have two sets of 11, it would equal 22

Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

We have eight sets of 1. Adding them all together would equal 8.

Now the equation is: 22 + 8 which would equal 30

Answer:

The height of the water increases 2.5 inches per second.

(Hope this helps! Btw, I answered first. Brainliest please!)

Answer:

answer is false

Step-by-step explanation:

Answer:

-3,-2

Step-by-step explanation:

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

1

Step-by-step expansion:

ok so this slope is going up at a whole rate of 1

the slope of this graph is 1

Answer:

The slope is just 1. y=x

Step-by-step explanation:

No matter how you look at it, it goes up one over one. Or you could do it the hard way and take two points and do the slope equation but you'll still get one.

Answer:

basically infinite

Step-by-step explanation:

To solve this equation, we need to isolate the variable "y" on one side of the equation. We can do this by performing the same operation on both sides of the equation to eliminate the terms that contain "y".

First, we can combine the like terms on the left side of the equation to get 2y + 6. Then, we can combine the like terms on the right side of the equation to get 2y + 6.

This leaves us with the equation 2y + 6 = 2y + 6. Since the left side of the equation is equal to the right side of the equation, the equation is true for all values of "y".

Therefore, the solution to this equation is any value of "y".