A researcher wants to test the hypothesis that the mean rating of guilt will be higher for unattractive defendants than for attractive defendants. The appropriate statistical test would be the A. Pearson r. B. 1 tailed t-test. C. 2 tailed t-test. D. chi-square.

Answer:

here you go  your welcome

Step-by-step explanation:

after however

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Given the sequence:

Let's find the third term of the sequence.

To find the third term, a3, we have:

First find the second term, a2:

The second term is -5.

To find the third term, we have:

Therefore, the third term of the

Answer:  8000 points last week.

Step-by-step explanation:

If she has increased by 75% in a week to get 14000 points then  we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.

175% * x = 14000

1.75x =14000     Divide both sides by 1.75

x= 8000

So she had 8000 points last week.

Check:

175% * 8000= 14000

1.75 * 8000 = 14000

  14000 = 14000

The consumer expenditure for the product will be greatest when the market price per unit is $65.

To find the market price for which the expenditure will be greatest, we need to maximize the expenditure function E(p) = 32,500p - 250p². To do this, we can find the critical points by taking the derivative of E(p) and setting it to 0.

1. Find the derivative of E(p) with respect to p:
dE/dp = 32,500 - 500p

2. Set the derivative equal to 0 to find the critical points:
32,500 - 500p = 0

3. Solve for p:
500p = 32,500
p = 32,500 / 500
p = 65

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Answer:

Answer: -3n^9

Step-by-step explanation:

cube root of -27 is -3 and divide 27 with 3 you'll get 9 so the answer is -3n^9

(a) The estimated mixing time when the viscosity is approximately that of water and the stirrer is operated at a constant speed of 90 rpm is approximately 10.48 seconds.

(b) (i) To achieve turbulence when the viscosity reaches a value of 1000 times greater than water, a stirrer speed of approximately 528.67 rpm is required.

(ii) The power required to achieve turbulence is approximately 35.14 kW.

(iii) The power per unit volume required for turbulence is approximately 1.95 W/m^3.

(a) The mixing time when the viscosity is approximately that of water, assuming a constant stirrer speed of 90 rpm, can be estimated using the following steps:

⇒ Calculate the impeller Reynolds number (Re):

  Re = (N′P / k1) × (N / N1)^2

  We have,

  N′P = 5.0 (power number)

  k1 = 70 (proportionality constant)

  N = 90 rpm (stirrer speed)

  N1 = 1 (reference stirrer speed)

  Plugging in the values:

  Re = (5.0 / 70) × (90 / 1)^2

     ≈ 910.71

⇒ Calculate the mixing time (tm):

  tm = (0.08 × ρ × D^2) / (μ × N′P × Re)

  We have,

  ρ = 1 g/cm^3 (density of the fluid)

  D = 3 m (diameter of the tank)

  μ ≈ 0.001 Pa·s (viscosity of water at room temperature)

  Plugging in the values:

  tm = (0.08 × 1 × 3^2) / (0.001 × 5.0 × 910.71)

     ≈ 10.48 seconds

Therefore, the estimated mixing time when the viscosity is approximately that of water is approximately 10.48 seconds.

(b) (i) To achieve turbulence when the viscosity reaches a value of 1000 times greater than water, the stirrer speed required can be estimated by equating the impeller Reynolds number (Re) to the critical Reynolds number (Recr) for transition to turbulence. The critical Reynolds number for this system is typically around 10^5.

  Recr = 10^5

  Setting Recr equal to the Re equation from part (a):

  10^5 = (5.0 / 70) × (N / 1)^2

  Solving for N:

  N = √((10^5 × k1 × N1^2) / N′P)

    = √((10^5 × 70 × 1^2) / 5.0)

    ≈ 528.67 rpm

  Therefore, a stirrer speed of approximately 528.67 rpm is required to achieve turbulence.

(ii) The power required to achieve turbulence can be estimated using the following equation:

  P = N′P × ρ × N^3 × D^5

  We have,

  N′P = 5.0 (power number)

  ρ = 1 g/cm^3 (density of the fluid)

  N = 528.67 rpm (stirrer speed)

  D = 3 m (diameter of the tank)

  Plugging in the values:

  P = 5.0 × 1 × (528.67 / 60)^3 × 3^5

    ≈ 35141.45 watts

  Therefore, the power required to achieve turbulence is approximately 35.14 kW.

(iii) The power per unit volume required for turbulence can be calculated by dividing the power by the tank volume (V):

  P/V = P / (π/4 × D^2 × H)

  We have,

  P = 35.14 kW (power required)

  D = 3 m (diameter of the tank)

  H = 3 m (liquid height)

  Plugging in the values:

  P/V = 35.14 × 10^3 / (π/4 × 3^2 × 3)

       ≈ 1.95 W/m^3

The power per unit volume required for turbulence is approximately 1.95 W/m^3.

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\(12.36 \div 0.9 = 13.73\)

The binary relation P is defined as P = {(x, y) ∈ A × A | y = x^2}. The members of P are listed as (-5, 25), (-4, 16), (-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25).

The members of P∘P are obtained by composing the relation P with itself, resulting in the pairs (-5, 625), (-4, 256), (-3, 81), (-2, 16), (-1, 1), (0, 0), (1, 1), (2, 16), (3, 81), (4, 256), and (5, 625).The initial value problem is solved as g(t) = \(e^{-t}\) - 1.

To solve the initial value problem, we are given the equation e^(-j) * g * g' + j = 0 with the initial condition g(0) = 1. We can rewrite the equation as g' = -j / (g * e^(-j)). Integrating both sides with respect to t, we obtain ln|g| = -jt + C, where C is the constant of integration. Exponentiating both sides, we have |g| = e^(-jt + C). Since g(0) = 1, we can substitute t = 0 and solve for C. This gives us |g(0)| = e^C, which implies C = ln|g(0)| = ln(1) = 0. Therefore, |g| = e^(-jt), and we consider the positive sign since g(0) = 1. Thus, g(t) = e^(-t) - 1.

Moving on to the binary relation P, we have A = {x ∈ Z | -25 ≤ x ≤ 25}. The relation P is defined as P = {(x, y) ∈ A × A | y = x^2}. By substituting the values of x from -5 to 5, we find the corresponding y values as 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, and 25. Therefore, the members of P are (-5, 25), (-4, 16), (-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25).

To find the members of P∘P, we need to compose the relation P with itself. The composition of two relations is obtained by connecting the output of the first relation as the input to the second relation. By performing this composition, we obtain the pairs (-5, 625), (-4, 256), (-3, 81), (-2, 16), (-1, 1), (0, 0), (1, 1), (2, 16), (3, 81), (4, 256), and (5, 625). These pairs represent the members of P∘P, where the second element of each pair is the square of the first element.

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Answer:

See below

Step-by-step explanation:

It's just a vertical line drawn at x=-1. See the graph for a visual.

Answer:

sin7x - sinx = cos2x - 10cosx

= sin6x = 10cosx

Step-by-step explanation:

hope that will help you

M=11

N=2

11•11=121

2•2=4

121-4=117

Answer:

16,849,464 ft³

Step-by-step explanation:

subtract the two volumes of the pyramids.

Answer: Multiplying both sides of the original equation by 100 gives the same

the solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

Step-by-step explanation:

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

The solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

To solve the system of equations:

2X + 4Y + 2Z = 144 (Equation 1)

0.5X + 0.25Y = 60 (Equation 2)

1.5X + 0.5Y + Z = 36 (Equation 3)

We can use row operations to simplify and solve the system.

Let's start with Equation 2. Multiply both sides of Equation 2 by 4 to eliminate decimals:

2X + Y = 240 (Equation 4)

Now, let's solve Equations 1 and 4 using row operations. Multiply Equation 4 by -2 and add it to Equation 1:

-4X - 2Y = -480 (Equation 5)

2X + 4Y + 2Z = 144 (Equation 1)

   2Y + 2Z = -336  (Equation 6)

Next, let's solve Equations 3 and 6 using row operations. Multiply Equation 6 by -3 and add it to Equation 3:

-3Y - 3Z = 1008 (Equation 7)

1.5X + 0.5Y + Z = 36 (Equation 3)

1.5X - 2.5Z = -972 (Equation 8)

We now have a simplified system of equations:

2Y + 2Z = -336 (Equation 6)

1.5X - 2.5Z = -972 (Equation 8)

-3Y - 3Z = 1008 (Equation 7)

Now, we can solve this system by using additional row operations.

Multiply Equation 6 by 1.5 and add it to Equation 8:

-4Z = -1452

Solving for Z, we get Z = 363.

Substituting the value of Z back into Equation 6, we can solve for Y:

2Y + 2(363) = -336

2Y = -1062

Y = -531.

Finally, substituting the values of Y and Z into Equation 7, we can solve for X:

-3(-531) - 3(363) = 1008

X = -171.

Therefore, the solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

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Answer:

y=3x+6

Step-by-step explanation:

Coordinate:(-1,3)

Slope: 3/1=3

Formula=y-y^1=m(x-x^1)

y-3=3(x--1)

y-3=3(x+1)

y-3=3x+3

+3       +3

y=3x+6

The equation of the line in the slope-intercept form will be y=3x+6.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The coordinate of the line is (-1,3).

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - 0 )/ ( 1 - 0 ) = 3

The equation of the line will be:-

y-3=3(x--1)

y-3=3(x+1)

y-3=3x+3

y=3x+6

Therefore, the equation of the line in the slope-intercept form will be y=3x+6.

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The angle pair that is a pair of vertical angles from the given option is:

B. ∠TRS and ∠VRW.

What does the phrase "vertical angles simple" mean?

An intersection of two lines produces a vertical angle, which is a pair of opposed angles. Vertical angles in the illustration are 1 and 3 respectively. Likewise, 2 and 4 are. Congruent vertical angles are universal.

The lines shown are attached below (see attachment).

Vertical angles are two set of angles that are formed lying opposite each other when two straight lines intersect.

From the diagram given:

<WRS is directly opposite <VRT, therefore, they are a pair of vertical angles that are formed.

<TSR is directly opposite <VRW, therefore, they are also a pair of vertical angles.

Thus, the angle pair that is a pair of vertical angles from the given option is: B. ∠TRS and ∠VRW.

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Answer:

1 d.p to c 7m

Step-by-step explanation:

you should use phythagoras theorem to caculate the leght of BF ang that is my answer

To enlarge shape S by a scale factor of 1/3 with the center of enlargement at (0, 3), we need to determine the new coordinates of the vertices of the enlarged shape.

To enlarge a shape by a scale factor, we multiply the coordinates of each vertex by the scale factor. In this case, the scale factor is 1/3.Let's assume shape S has vertices (x1, y1), (x2, y2), (x3, y3), ..., and (xn, yn). To find the new coordinates of the enlarged shape, we multiply each coordinate by the scale factor of 1/3.For example, if the center of enlargement is at (0, 3), we can calculate the new coordinates of each vertex as follows:

New x-coordinate = x1 * 1/3

New y-coordinate = y1 * 1/3

Repeat this process for each vertex to obtain the new set of coordinates. The resulting coordinates will represent the enlarged shape S with a scale factor of 1/3 and the center of enlargement at (0, 3).

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Answer:

Her profit will be $40

Step-by-step explanation:

Answer:

Her profit would be $50

Step-by-step explanation:

The nail polish is $5, Remover is $3, Cotton balls are $2, That all adds up to ten.

And She has 5 of her friends so Ur multiplying 10 by 5

$10 times 5 equals to $50

Answer:

11

Step-by-step explanation:

Given the data:

X: - 1 _ 0 _ 1 _ 2 _ 3

Y: -8 _ 3 _ 14 _ 25 _36​

Slope = Rise / Run

Rise = y2 - y1 = 36 - (-8) = 36 + 8 = 44

Run = x2 - x1 = 3 - (-1) = 3 + 1 = 4

Slope = 44 / 4

Slope = 11

Rate of changeb/ slope = 11

The measure of missing angle is 65°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the given triangle 68°, 47° and the missing angle is x.

By angle sum property of triangle, we get

68°+47°+x=180°

115°+x=180°

x=65°

Therefore, the measure of missing angle is 65°.

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The base area of the prism is 36 square centimeters and the volume of the prism is 288 cubic centimeters

The base area is calculated as:

Base area =Length * Width

From the complete question (see attachment), we have:

Length = 12

Width = 3

So, we have:

Base area = 12 * 3

Base area = 36

The volume is calculated as:

Volume = Base area * Height

So, we have:

Volume = 36 * 8

Evaluate

Volume = 288

Hence, the volume of the prism is 288 cubic centimeters

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Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

Answer:

$0.48 or 48 cents

Step-by-step explanation:

12 ears of corn = $5.76

1 ears of corn = $5.76 ÷ 12 = $0.48