in calculating which means differ, each pair of means needs a unique range. t/f

Answers

Answer 1

It is true that in calculating which means differ, each pair of means needs a unique range.

To determine if two means are different, a statistical test such as a t-test or an ANOVA is typically used. These tests compare the means of two or more groups and require a unique range for each group. This range is typically represented by the variance or standard deviation of the group's data.

For example, if we have two groups of data, group A and group B, and we want to determine if the mean of group A is different from the mean of group B, we would need the range of data for group A and the range of data for group B. The range of data includes the variance or standard deviation which is used to calculate the t-value or the F-value which is used to determine if the means are significantly different. Without this information, we cannot accurately compare the means and determine if they are different.

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Related Questions

what is the measure of XYZ?
46°
94°
a. 46°
b. 140°
c. 94°
d. 70°

Answers

Answer:

46+96=140°_÷__^_^^^^=^

Find the measure of a when b=74 and c=165

Answers

Answer:

121°

Step-by-step explanation:

Angles around a point add to 360°.

[tex]a=360-74-165=\boxed{121^{\circ}}[/tex]

binary add:
(e) 10110₂ +1010₂ = (?)​

Answers

Answer:

278,861,394

Step-by-step explanation:

put in the calculator e but then just square the numbers add it and there is your answer

If you horizontally stretch the quadratic parent function, f(x) = x², by a factor
of 5, what is the equation of the new function?
A. g(x) = (5x)2
B.
B. g(x) = (x)²
C. g(x) = 5x²
OD. g(x)=x²2

Answers

Answer: [tex]g(x)=\left(\frac{x}{5} \right)^2[/tex]

Step-by-step explanation:

See attached image.

7. The exam scores of MBA students are normally distributed with a mean of 950 and a standard deviation of 200. (Also explain all your answers using Graphical work)
a) if your score was 1390 what percentage of students have scored more than you ?
b) What are the minimum and the maximum values of the middle 87.4% of the scores?
c) If there were 165 students who scored above 1432. How many students took the exam?

Answers

The percentage of students that have scored more than you is 1.39%

How to illustrate the probability?

a) Probility that people scored more than Nancy = P(X>1390) = 1- P(X<1390).

Now z= (1390-950)/200

z= 2.2

P(Z<2.2) = 0.9861

So 1- P(X<1390) = 1 - P(Z<2.2) = 1 - 0.9861 = 0.0139

= 1.39 %

Let P1 be the % of people who score below 1100 and P2 be the % of people who scored below 1200

Then % of students between scores of 1100 and 1200 = P2 - P1

Z (X=1100) =0.75 and Z (X=1200) = 1.25

P1 = P(X<1100)= P (Z< 0.75) =0.7734

P2 = P(X<1200)= P (Z< 1.25) =0.8944

Then % of student between score of 1100 and 1200 = P2 - P1 = 0.8944 - 0.7734 = 0.121 = 12.10%

Middle 87.4 % score means that a total of 12.6 % of the population is excluded. That is 6.3% from both sides of the normal curve. So the minimum value for the middle 87.4% will the one which is just above 6.3% of the population i.e. it will have value x such that P(X<x)= .063.

z value (for P(X<x)= .063) = (-1.53)

But Z= (x-u)/ \sigma from here calculating x, x=644

The minimum value of the middle 87.4% score is 644

The maximum value for the middle 87.4 % of the scores will be the one that has 6.3% scores above it, i.e. it will have value x such that P(X>x)= .063.

P(X<x)= 1 -P(X>x)= 1 - 0.063 = 0.937.

Z value (for P(X<x)= 1.53

But Z= (x-u)/ \sigma from here calculating x, x=1256

The maximum value of the middle 87.4% score is 1256

Z value for (X=1432)= 2.41

P(Z<2.41) =0.9920

It means that 99.2 % of scores are less than 1432

So only 0.8% of scores are higher than 1432

but , 0.8% = 165

So 100% = 20625

20625 students took SAT

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A conduit of circular cross section has 7 cables all same diameter. Inside diameter of conduit is 30cm. What is the cross sectional area of the conduit not part of the 7 cables

Answers

The cross sectional area of the conduit not part of the 7 cables is; 706.5cm²

What is the cross sectional area of the conduit not part of the 7 cables?

It follows from the task content that the conduit in discuss has 7 cables all same diameter and has a circular cross section.

Since, the cross sectional area of the conduit not part of the 7 cables is required; it follows that the cross sectional area of the inside cavity can be evaluated as follows;

where radius, r = D/2 = 30/2.

Area = πr² = 3.14 × (30/2)² = 706.5cm²

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Nikos, a 39-year old male, bought a 300,000, 20-year life insurance policy.
What is the total amount he will pay for 20 years of coverage.
13,650
27,300
30,990
61,980

Answers

The total amount he will pay for 20 years of coverage is $61,980. Option D

How to determine the total amount

To find the total amount, we use the expression

First, we multiply the value per $1,000.00 by the number of thousands of face value coverage. This gives an estimate of the annual premium for  life insurance policy.

Nikos's premium per year = [tex]\frac{300000}{1000} * 10. 33[/tex]

Niko's premium per year = [tex]300 * 10. 33[/tex]

Niko's premium per year = $3, 099

To find the total amount, we need to multiply by the number of years

=  $3,099 x 20

= $61,980

Thus, the total amount he will pay for 20 years of coverage is $61,980. Option D

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find the slope of this line

Answers

Answer:

-3

Step-by-step explanation:

Select a point on the red line that crosses the graph at a corner like point (2,2).  Start at the middle of the graph and go 2 spaces to the right on the x axis and then 2 spaces up.  Now you will be a the point (2,2).  Do you see how the right line is hitting at the top left corner of the square?  

From  this point, count how many spaces up and how many spaces to the left to get to the next spot that the red line touches a corner.  If you go up 3 spaces and left 1, you have found the next corner.  The slope is -3/1 or -3.

The slope is negative because the x and y's are going in different directions, as the x is getting bigger, the why is getting smaller, or another way of looking at it, is that I went up to the find slope and up is positive, but then I went left 1 and left is toward the negative numbers.  A positive divided by a negative is a negative, so the slope is negative.

Find the area of the region enclosed by the curves yequals
xsquaredminus2x
and yequals
minusxsquaredplus2
x.

Answers

The area enclosed by the given 2 curves is; 8/3 or 2.67

How to Solve Integration with Limits?

We want to find the area enclosed by the curves;

y = x² - 2x

y = -x² + 2x

The point of intersection of the parabola and the line is given by;

x² - 2x = -x² + 2x

2x² - 4x = 0

Solving this gives;

x = 0, 2

Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;

A = ∫₀² (-x² + 2x - x² + 2x)

A = ∫₀² (-2x² + 4x)

Using online integration calculator here gives;

A = 2.67

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A city mayor in Michigan is planning the number of new snow plows he must purchase to remove the snow next winter. The
average snowfall in the past 10 years has been normally distributed with a mean of 112 inches and a standard deviation of
14 inches. What amount, in inches, separates the lowest 20% of the means of yearly snowfall in the past 10 years from the
highest 80%?

Answers

The amount that separates the lowest 20% of the means of yearly snowfall in the past 10 years from the highest 80% is 23.57 inches.

Given mean of 112 inches, standard deviation of 14 inches.

We are required to find the amount that separates the lowest 20% ofthe means of yearly snowfall in the past 10 years from the highest 80%.

a) Bottom 20% would have a z score of -0.8416.

b) Top 80% would have a z score of 0.842.

Use the z formula to find the raw score.

z=(X-m)/sd

X=the raw score

m= mean

sd=standard deviation

Putting the value of low score.

-0.8416=(X-112)/14

X=-11.7824+112

=100.2176

Putting the values of high score.

0.842=(X-112)/14

X=123.788

The amount that seprates the lowest from highest is 123.788-100.2176

=23.57 inches.

Hence the amount that separates the lowest 20% of the means of yearly snowfall in the past 10 years from the highest 80% is 23.57 inches.

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Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = x² + 4
OA. F(x) = x + 4 and G(x) = x²
OB. F(x)= x and G(x) = x²
O C. F(x)=x² and G(x) = 4
OD. F(x) = x² and G(x) = x + 4

Answers

The composite function G(F(x)) = x² + 4 is formed with these following original functions:

D. F(x) = x² and G(x) = x + 4.

How to find the composite function of f(x) and g(x)?

The composite function of f(x) and g(x) is given as follows:

[tex](f \circ g)(x) = f(g(x))[/tex]

For g of f(x), we have that:

[tex](g \circ f)(x) = g(f(x))[/tex]

For this problem, we have that:

G(F(x)) = x² + 4.

Which is possible with option D, as:

[tex]G(F(x)) = G(x^2) = x^2 + 4[/tex]

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help me please
What is the midpoint of the horizontal line segment graphed below?
A. (4,3)
B. (8,6)
C. (8,3)
D. (4, 6)
-10
10
(-2,3)
$10
(10, 3)
10

Answers

Answer: A

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice?

Answers

The  number of pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice is:  32 pints of 95% juice, and 48 pints of 45% juice.

Number of pints needed

Let x be the amount of 95% juice.

Let the  amount of 65% juice be 80-x

Hence:

.95x+.45(80-x)=.65(80)

.5x+36=52

Collect like term

5x=16

Divide both side by 5x

x=16/5

x=32

Therefore the number of pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice is:  32 pints of 95% juice, and 48 pints of 45% juice.

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How many interior angles does a 2D shape right arrow have and explain the answer?​

Answers

The number of interior angles in a 2D shape right arrow is 8 because , the number of sides is also 8

How to determine the interior angles

It is important that a 2D shape arrow is a shape with 8 sides

Sum of angles of a polygon = (n - 2) × 180

⇒ ( 8 - 2) × 180

⇒ 6 × 180

⇒ 1080

The number of interior angles are 8 and this is so because of the number of sides in the 2D shape right arrow

Thus, the number of interior angles in a 2D shape right arrow is 8 because , the number of sides is also 8

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Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB

Answers

The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.

Which inequality explains why the three segments cannot be used to construct a triangle?

Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.

Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.

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The weight of each “Golden Dairy’s Probiotic Yogurt with Fruit” cup is normally distributed with a mean of 170 grams and a standard deviation of 12 grams. One package contains six random cups and any package with an average weight per cup lower than 158 grams will be rejected.
Part A: What fraction of packages will be rejected because the average weight is too low?
Part B: In addition to original rejection criteria, suppose any packages that have an average weight per cup higher than 179 grams must be rejected as well. What is the total fraction of packages that will be accepted?

Answers

Using the normal distribution, it is found that:

A. 0.0071 = 0.71% of packages will be rejected because the average weight is too low.

B. 0.96 = 96% of packages that will be accepted.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For this problem, the parameters are given as follows:

[tex]\mu = 170, \sigma = 12, n = 6, s = \frac{12}{\sqrt{6}} = 4.9[/tex]

Item A:

The proportion is the p-value of Z when X = 158, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{158 - 170}{4.9}[/tex]

Z = -2.45

Z = -2.45 has a p-value of 0.0071.

0.0071 = 0.71% of packages will be rejected because the average weight is too low.

Item B:

The proportion that will be accepted is the p-value of Z when X = 179 subtracted by the p-value of Z when X = 158, hence:

X = 179:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{179 - 170}{4.9}[/tex]

Z = 1.84

Z = 1.84 has a p-value of 0.9671.

X = 158:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{158 - 170}{4.9}[/tex]

Z = -2.45

Z = -2.45 has a p-value of 0.0071.

0.9671 - 0.0071 = 0.96 = 96% of packages that will be accepted.

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PLEASE FAST!!! Explain why, given a large unit A and a small unit B, it is wise to leave the conversion factor in fractional form if the decimal form goes on forever.

Answers

Numbers whose decimals form goes on forever are best represented as fractions because they are non-terminating decimals

How to determine the reasons?

The decimal numbers are represented as:

A and B

Where

A > B

Numbers whose decimals form goes on forever are non-terminating numbers, and the complete form cannot be represented using decimals except with the sign .......

Because non-terminating decimals have no end, it is best to represent them as fractions

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Three quarters of a cake was eaten at a party .how much cake is left?

Answers

Hi!

Answer:

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

1/4 of the cake was left

Step-by-step explanation:

  Since the total cake is [tex]\sf{\dfrac{4}{4}}[/tex], all we should do is subtract 3 from 4

  [tex]\sf{\dfrac{4-3}{4}}=the \ cake \ that \ was \ left[/tex]

   _____________________

   [tex]\sf{\dfrac{1}{4} \ of \ the \ cake \ was \ left}[/tex]

Hope this made sense to you !!

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

Calligrxphy

HELP PLS!!! I GIVE BRAINLIEST

Answers

Based on the multiplication property of equality, the statement that completes the proof is: C. CD = b(sin A) and CD = a(sin B).

What is the Multiplication Property of Equality?

The multiplication property of equality is given as, if a/b = y, then a = yb. Both sides of the equation is multiplied by the same value.

In step 5 where the multiplication property of equality is applied, we would have:

sin(A) = CD/b

Multiply both sides by b

sin(A) × b = CD/b × b

b(sin A) = CD

CD = b(sin A)

This same property is applied to sin B = CD/a to get CD = a(sin B).

Therefore, the missing statement is: C. CD = b(sin A) and CD = a(sin B).

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solve it please as soon as possible with step by step explanation

Answers

By definition of real field and algebra properties we conclude that the product of three positive integers is always equal to a positive integer.

How to make a conjecture

First, we state the conjecture: The product of three positive integers equals a positive integer. Second, we prove if the conjecture is true:

Integers are part of the real field, which mean that the product of two integers is also an element of that field. By algebra we know that the product of two positive integers is equal to another positive integer. Thus, the product of three positive integers is always equal to a positive integer.

Here is an example:

2 × 5 × 7

10 × 7

70

In a nutshell, the conjecture has been proved true.

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The point (5,-9) is the image under the translation (x, y) → (x+3, y + 2). What is the
preimage?
1

Answers

Answer:

(2, -11)

Step-by-step explanation:

(x + 3, y + 2) = (5, -9)

x + 3 = 5

y + 2 = -9

x = 2

y = -11

For f(x) = 3x+1 and g(x) = x2 - 6, find (F/g)

Answers

Answer: [tex]\frac{3x+1}{x^{2}-6}[/tex]

Step-by-step explanation:

(f/g) represents the division of function f by function g.

Number 8 is the answer 90*

Answers

Answer:

E

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Consider the triangle on the left

3rd angle = 180° - 60° - 90° = 180° - 150° = 30°

the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so

∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°

if x = 2z and y = 3z, find z

Answers

Answer:36

Step-by-step explanation:

Let name the missing angle in the triangle w.

We know that x+z+w=180

We also know that z+w=3z=y.

That means that w=2z.

x=2z, so, 2z+2z+z=180

z=36

Answer:

Z=36 degrees

Step-by-step explanation:

Since angles x and y are supplementary, you know that they add up to 180 degrees.

Since we know that:

=x+y

=2z+3z

=5z

=180 degrees

180/5=36 degrees, so Z=36 degrees

IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

Answer: x = 6

NS = 8.5

Step-by-step explanation:

JK = KL= KP + LP

26 = 13 + 2x + 1

2x = 12

x = 6

NS = PS

PS = 8.5

NS = 8.5

anybody answer me please with step by step explanation need complete detailed answer

Answers

Answer:

A = 55

Step-by-step explanation:

take the two identical triangles and join them so that you get a rectangle wih sides 5 and 11. now multiply them togeter to get the are of the polynom

The area of triangle is 55 square centimeters.

What is area?

Area is the amount of space occupied by a two-dimensional figure.

What is the formula for the area of triangle?

The formula for the area of triangle is

[tex]Area = \frac{1}{2} \times base\times height[/tex]

According to the given question.

We have a figure of a quadrilateral which is made up of four right angled tringles.

Now,

The area of a triangle with base 5cm and height 7 cm

= [tex]\frac{1}{2} \times 5\times 7[/tex]

[tex]=\frac{35}{2}[/tex]

[tex]= 17.5[/tex] square centimeters

And, the area of triangle with base 4cm and height 5cm

= [tex]\frac{1}{2} \times 4\times 5[/tex]

[tex]= 10[/tex] square centimeters

Since, the quadrilateral is made up of 2 right angled triangle with base 5cm and height 7cm and 2 right angled triangle with base 4cm and height 5cm.

Therefore, the area of quadrilateral or the given fiure

= 2( area of triangle with height 7cm and base 5cm + area of triangle with base 4cm and height 5cm )

= 2(17.5 + 10) square centimeter

= 2 × 27.5

= 55 square centimeters

Hence, the area of triangle is 55 square centimeters.

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x-4[x-2(x+6)]=5x+3
[tex]x - 4 [ x - 2(x + 6)] = 5x + 3[/tex]


Answers

The equivalence of the equation is 5x + 48 = 5x + 3.

Since 48 cannot be equal to 3, hence there are no solution.

What is the value of x?

Given the equation; x-4[ x - 2( x + 6) ] = 5x + 3

We remove the parentheses

x-4[ x - 2( x + 6) ] = 5x + 3

x-4[ x - 2x - 12 ] = 5x + 3

x - 4x + 8x + 48 = 5x + 3

5x + 48 = 5x + 3

We can go further and collect like terms

5x - 5x + 48 = 3

48 ≠ 3

Since 48 cannot be equal to 3, hence there are no solution.

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Does this graph show a function? Explain how you know. O A. No, the graph fails the vertical line test. OB. No; there are y-values that have more than one xvalue. OC. Yes; the graph passes the vertical line test. OD. Yes; there are no y-values that have more than one x-value.​

Answers

The graph satisfies the vertical line test, it may be said that it reflects a function (C) The graph is accurate if it passes the vertical line test.

What is a function in the graph?The collection of all points in the plane with the form (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function.Use the vertical line test to establish if a graph reflects a function. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point. The graph is not a function if the vertical line crosses it at more than one location.First-order variables are present in linear functions, and the graph's placement is determined by two constants. These operations graph into a line in every case. The slope of the line is determined by the constant m. The slope of the line will slope up if it is positive and down if it is negative.

The graph represents a parabola.

The graph can be a function if it passes the vertical line test.

The graph satisfies the vertical line test, it may be said that it reflects a function (C) The graph is accurate if it passes the vertical line test.

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A sample of a radioactive isotope had an initial mass of 440 mg in the year 1990 and decays exponentially over time. A measurement in the year 1998 found that the sample's mass had decayed to 40 mg. What would be the expected mass of the sample in the year 2001, to the nearest whole number?

Answers

Using an exponential function, the expected mass of the sample in the year 2001 would be of 16 mg.

What is the exponential function for the amount of a substance?

The function is:

[tex]A(t) = A(0)e^{-kt}[/tex].

In which:

A(0) is the initial amount.k is the decay rate.

The information given is as follows:

A(0) = 440, A(8) = 40.

Hence:

[tex]A(t) = A(0)e^{-kt}[/tex].

[tex]40 = 440e^{-8k}[/tex].

[tex]e^{-8k} = 0.09090909[/tex]

[tex]\ln{e^{-8k}} = \ln{0.09090909}[/tex]

[tex]-8k = \ln{0.09090909}[/tex]

[tex]k = -\frac{\ln{0.09090909}{8}[/tex]

k = 0.29973691

Then the function is:

[tex]A(t) = 440e^{-0.29973691t}[/tex]

2001 is 11 years after 1990, hence the amount is:

[tex]A(11) = 440e^{-0.29973691 \times 11} = 16[/tex]

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Find each of the following:

pls help me ASAP!!

Answers

Step-by-step explanation:

try this option, answer is marked with red colour.

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renee owns property with her sister, nambia, and each sister's share will be transferred to her heirs if she were to die. this is: if a patient who has had his corpus callosum severed is asked to make patterns using blocks, he will probably perform the task better with his: Barbara Kruger combined which two aspects of graphic design to influence how viewers interpreted her work? What is the term for specific guidelines for ... Determine if each of the following metal complexes is chiral and therefore has an optical isomer Drag the appropriate items to their respective bins. Reset Help octahedral cis-[Ru(bipy)2Cl2] tetrahedral [Zn(H2O)2Cl2] octahedral trans-[Ru(bipy)2Cl2] not chiral chiral In a lab, resonance tubes are used to determine experimentally the speed of sound. Using the data given, evaluate thebest approximation for the speed of sound. A) 3x10^8 m/sB) 170 m/sC) 340 m/sD) 570 m/s Please Help I really need these by the end of today answer choices are in parenthesis which intervention is indicated for a patient with cyanide poisoning and concomitant carbon monoxide poisoning? When you ran those Indy cars out west, the car weighed half as much and your tires were twice as wide... Now your car weighs twice as much and your tires are half as wide Describe the major battles and results in the Pacific theater of World War II. most ethical issues are not criminal acts but rather small dilemmas that present themselves with great regularity every day. a. true b. false young infants are at increased risk of developing allergies as compared to older children because: your textbook notes that lymphatic vessels were thin-walled and have valves, which means that they structurally resemble: a blood alcohol concentration of .08 indicates that Consider an equation to explain salaries of CEOs in terms of annual firm sales, return on equity (roe in percentage form), and return on the firms stock (ros, in percentage form):log (salary) = 0+ 1 log(sales) + 2roe + 3ros u. In terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEOs salary. Using the data in CEOSAL1, the following equation was obtained by OLS:logsalary = 4. 32 +. 280 log(sales) +. 0174 roe +. 00024 ros(. 32) (. 035) (. 0041) (. 00054)n = 209, R2=. 283Required:a. By what percentage is salary predicted to increase if ros increases by 50 points? Does ros have a practically large effect on salary?b. Test the null hypothesis that ros has no effect on salary against the alternative that ros has a positive effect. Carry out the test at the 10% significance level. c. Would you include ros in a final model explaining CEO compensation in terms of firm performance? Explain Founder effect has had the most profound impact on the biodiversity of Africa North America Hawai Indu South America The Minister inaugurated _____________ the school _____________ the stadium - Smythe Company is considering the following 5 capital budgeting projects. The cost of capital for all projects is 14%.ProjectInitial CostNPVIRRPIA$1,000,000($650,000)10%0.96B$400,000$113,00018%1.33C$10,000$2,50021%1.52D$2,500,000$2015%1.01E$8,350,000$515,00017%1.44If the projects are MUTUALLY EXCLUSIVE, which project(s) should Smythe accept? (Note: it is possible that more than one project should be accepted. You must check all that apply to receive credit - this is an all or nothing question. That is, if they should accept projects A and B and you check only A or only B or if you also check C, your answer will be marked wrong).Project AProject BProject CProject DProject E--Smythe Company is considering the following 5 capital budgeting projects. The cost of capital for all projects is 14%.ProjectInitial CostNPVIRRPIA$1,000,000($650,000)10%0.96B$400,000$113,00018%1.33C$10,000$2,50021%1.52D$2,500,000$2015%1.01E$8,350,000$515,00017%1.44If the projects are INDEPENDENT, which project(s) should Smythe accept? (Note: it is possible that more than one project should be accepted. You must check all that apply to receive credit - this is an all or nothing question. That is, if they should accept projects A and B and you check only A or only B or if you also check C, your answer will be marked wrong).Question 24 options:Project AProject BProject CProject DProject E When she was 10, Fanny Price went to live with her wealthy, titled aunt and uncle, the Bertrams. Eight years later, Fanny returns to the seaside town of Portsmouth to visit her family. An unwelcome suitor, Mr. Crawford, follows her. Mrs. Price is Fanny's mother.,end italics,from ,begin bold,Mansfield Park,end bold,The Prices were just setting off for church the next day when Mr Crawford appeared again. He came, not to stop, but to join them; he was asked to go with them to the Garrison chapel, which was exactly what he had intended, and they all walked thither together.The family were now seen to advantage. Nature had given them no inconsiderable share of beauty, and every Sunday dressed them in their cleanest skins and best attire. Sunday always brought this comfort to Fanny, and on this Sunday she felt it more than ever. Her poor mother now did not look so very unworthy of being Lady Bertram's sister as she was but too apt to look. It often grieved her to the heart, to think of the contrast between them; to think that where nature had made so little difference, circumstances should have made so much, and that her mother, as handsome as Lady Bertram, and some years her junior, should have an appearance so much more worn and faded, so comfortless, so slatternly, so shabby. But Sunday made her a very creditable and tolerably cheerful-looking Mrs Price, coming abroad with a fine family of children, feeling a little respite of her weekly cares, and only discomposed if she saw her boys run into danger, or Rebecca,superscript,1,baseline, pass by with a flower in her hat.In chapel they were obliged to divide, but Mr Crawford took care not to be divided from the female branch; and after chapel he still continued with them, and made one in the family party on the ramparts.Mrs Price took her weekly walk on the ramparts every fine Sunday throughout the year, always going directly after morning service and staying till dinner-time. It was her public place: there she met her acquaintance, heard a little news, talked over the badness of the Portsmouth servants, and wound up her spirits for the six days ensuing.(from ,begin underline,Mansfield Park,end underline, by Jane Austen),fill in the blank, ,begin bold,,superscript,1,baseline,Rebecca:,end bold, Mrs. Price's servantQuestionHow does setting affect the character of Mrs. Price in the passage?Answer options with 4 options1. Mrs. Price feels self-conscious about the way in which her somewhat shabby appearance is viewed by the people of Portsmouth.2. Although Mrs. Price has friends in Portsmouth, she is aware that she is less popular and less attractive than her sister, Lady Bertram.3. Despite her poor circumstances, the town with its Sunday society, ramparts, and neighbors provides an outlet and revives Mrs. Price.4. On Sundays, Mrs. Price is able to put aside her fears about her children running into danger and enjoy the company of like-minded society. In each of the following cases, no shortage is allowed, and the lead time between placing and recieving an order is 30 days. Determine the optimal inventorypolicy and the associated cost per day.(a) K=$100,h=$.05,D=30 units per day(b)K=$50,h=.05,D=30 units per day which evaluation method is used for evaluating passive solar thermal system? and how to determine heating degree days?