19-21: A statistics class is taken by a group of registered students. In the third test, the correlation between the study hours and test scores was calculated and the value is r = 0.576. Use the corr

Answers

Answer 1

The value of the coefficient of determination is 0.331776.

The given correlation coefficient, r = 0.576, is used to find the coefficient of determination, which is the square of the correlation coefficient.  

To obtain the coefficient of determination, we will square the value of the correlation coefficient:

r = 0.576;

r² = (0.576)²

= 0.331776

So, the value of the coefficient of determination is 0.331776.

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Related Questions

Help!!! PLEASE!!!!
thx

Help!!! PLEASE!!!! thx

Answers

Answer:

  (c)  (1/14)xy(x² +8y)

Step-by-step explanation:

You want the greatest common factor factored out of the expression 1/14x³y +8/14xy².

Common factor

The coefficients 1/14 and 8/14 have a common factor of 1/14.

The variable terms x³y and xy² have variables x and y. The exponents of x are 3 and 1, so x¹ = x will be the common factor.

Similarly, the exponents of y are 1 and 2, so y¹ = y will be their common factor.

When we factor out (1/14)(x)(y) from the terms of the given expression, it becomes ...

  1/14xy(x² +y)


In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.

Answers

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Luke hiked 6 1/4 miles . Joana hiked 2 1/5 times as far .How far did Joana hiked​

Answers

Answer:

\(6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\\)

\(\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}\) (Amount Jona hiked)

Answer:

13 3/4

Step-by-step explanation:

what is y+2=-6(x-3) in standard form?

Answers

Answer: 6x + y = 16

Step-by-step explanation:

What happens to the control limits as the sample size is increased? The sample size does not affect the control limits. The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased. The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased. Both control limits move farther from the process mean as the sample size is increased. Both control limits come closer to the process mean as the sample size is increased. (c) What happens when a Type I error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (d) What happens when a Type II error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (e) What is the probability of a Type I error for a sample of size 10 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 20 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 30 ? (Round your answer to four decimal places.) (f) What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased? Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error: Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

Answers

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.

(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.

The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.

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One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?

Answers

Answer:  16 1/4 minutes

Step-by-step explanation:

Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.

We are told that A = 30 min/lawn.  B = 45 min/lawn.  These are conversion factors, so we can invert them to:

A =  1 lawn/30 min.  B = 1 lawn/45 min

If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:

X*(A + B) = Lawn Mowed

We want to know the time, X, it would take to mow the same 1 lawn together.  [Lawn Mowed = 1].  Use the equation:

X*(A + B) = Lawn Mowed

X*((1 lawn/30 min) + (1 lawn/45 min)) = 1

X/(30 min) + X/(45 min) = 1

X/30 + X/45= 1

X + X(30/35) = 30  {Multiply both sides by 30]

(1 + 30/35)X = 30

(65/35)X = 30

X = 30*(35/65)

X = 30/(7/13)

X = 30*(7/13)

X = 210/13

X =  16 1/4 minutes

Find the quotient of 1 5 6 ÷ 2 1 8 Give your answer as a fraction in its simplest form.

Answers

78/ 109 is approximately equal to 0.71559

you can check your calculator to know the decimal form.

hope it's helpful!

Find the quotient of 1 5 6 2 1 8 Give your answer as a fraction in its simplest form.

A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).


The diameter of the sphere is ___ inches.

Answers

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

if a fractions numerator decreases the value of the fraction___

Answers

If the numerator of a fraction decreases while the denominator remains constant, the value of the fraction decreases.

The numerator represents the number of parts we have out of the whole, while the denominator represents the total number of equal parts that make up the whole.

By decreasing the numerator, we are essentially reducing the number of parts we have, while the total number of parts remains the same. This means that the fraction represents a smaller portion of the whole, resulting in a smaller value.

Therefore, If the numerator of a fraction decreases while the denominator remains constant, the value of the fraction decreases.

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Please help with 2 and 3

Please help with 2 and 3

Answers

Based on the provided lines and angles;

The true statements are: A, B, D, and E∠5 = 75°; ∠11 = 75°; ∠16 = 65°

Let's discuss each problem we have:

Problem 2: Parallel lines m and n are cut by transversal l

Statement A: ∠1 = ∠5 is correct because both are corresponding angles and congruent.

Statement B: ∠2 = ∠4 is correct because both are vertical angles and congruent

Statement C: ∠2 = ∠7 is incorrect because ∠7 is the corresponding angle of ∠3 which is the supplementary angle of ∠2

Statement D: ∠3 and ∠6 form a linear pair is correct because both are consecutive interior angles and supplementary

Statement E: ∠4 and ∠5 are supplementary is correct because both are consecutive interior angles.

Problem 3: Parallel lines a and b are cut by transversal c and d

∠1 = 115°

∠8 = 105°

∠5 is adjacent and the supplementary angle of ∠8, then:

∠5 + ∠8 = 180°

∠5 + 105° = 180°

∠5 = 75°

∠11 is the alternate exterior angle of ∠5 and both are congruent, then:

∠11 = ∠5 = 75°

∠16 is the corresponding angle of ∠4 and congruent. ∠4 is the adjacent and supplementary of ∠1, then:

∠16 = ∠4

∠4 + ∠1 = 180°

∠16 + ∠1 = 180°

∠16 + 115° = 180°

∠16 = 65°

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The quadratic equation 3x2-x+ k = kx-1, where k is a constant, has two distinct roots. Find the range of values of k.

please help me with this question..thank you​

Answers

Answer:

k < -1 or k > 11

Step-by-step explanation:

Given quadratic equation:

\(3x^2-x+ k = kx-1\)

First, rearrange the given quadratic equation in standard form ax² + bx + c = 0:

\(\begin{aligned}3x^2-x+ k &= kx-1\\3x^2-x+ k-kx+1&=0-kx+1\\3x^2-x-kx+ k+1&=0\\3x^2-(1+k)x+ (k+1)&=0\end{aligned}\)

\(3x^2-(1+k)x+ (k+1)=0\)

Comparing this with the standard form, the coefficients a, b and c are:

a = 3b = -(1 + k) = (-1 - k)c = (k + 1)

\(\boxed{\begin{minipage}{7 cm}\underline{Discriminant}\\\\$\boxed{b^2-4ac}$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real roots.\\when $b^2-4ac=0 \implies$ one real root.\\when $b^2-4ac < 0 \implies$ no real roots.\\\end{minipage}}\)

If the quadratic equation has two distinct roots, its discriminant is positive.

\(b^2-4ac > 0\)

Substitute the values of a, b and c into the discriminant:

\((-1 - k)^2-4(3)(k+1) > 0\)

Simplify:

\((-1 - k)(-1-k)-12(k+1) > 0\)

\(1+2k+k^2-12k-12 > 0\)

\(k^2+2k-12k+1-12 > 0\)

\(k^2-10k-11 > 0\)

Factor the left side of the inequality:

\(k^2+k-11k-11 > 0\)

\(k(k+1)-11(k+1) > 0\)

\((k-11)(k-1) > 0\)

If we graph the quadratic k² - 10k - 11, it is a parabola that opens upwards (since its leading coefficient is positive), and crosses the x-axis at k = -1 and k = 11. Therefore, the curve will be positive (above the x-axis) either side of the x-intercepts, so when k < -1 or k > 11.

Therefore, the range of values of k for which the given quadratic equation has two distinct roots is:

\(\boxed{k < -1 \; \textsf{or} \;k > 11}\)

on a circle of radius 4 and center (0, 0), find the x and y coordinates at angle 180 degrees (or π in radian measure).

Answers

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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a rectangular pizza, 35 cm by 70 cm, is cut into 24 square pieces. two round pizzas, each cut into 12 slices, also give 24 pieces. so that the pizza slices are the same size, what must be the diameter of the round pizzas? round to the nearest tenth. don't include units.

Answers

The diameter of each round pizza should be approximately d ≈ 2r ≈ 39.6

Rounding to the nearest tenth, we get a diameter of 39.6 cm.

The rectangular pizza has an area of:

35 cm x 70 cm = 2450 \(cm^2\)

Dividing the area by 24 gives us the area of each square piece:

\(2450 cm^2 / 24 = 102.08 cm^2\)

For the round pizzas, each slice is a sector of the circle, and the area of each sector is given by:

\(A = (θ/360)\pi r^2\)

where θ is the angle of the sector in degrees, and r is the radius (half the diameter) of the circle.

Since each round pizza is cut into 12 slices, each slice covers an angle of:

θ = 360/12 = 30 degrees

We want the area of each slice to be equal to the area of each square piece from the rectangular pizza, which is 102.08 \(cm^2\). Therefore, we can set up the equation:

\((30/360)\pi r^2 = 102.08\)

Simplifying, we get:

\(\pi r^2/12 = 102.08\)

\(\pi r^2 = 1224.96\)

\(r^2\) ≈ 391.2

r ≈ 19.8

Therefore, the diameter of each round pizza should be approximately:

d ≈ 2r ≈ 39.6

Rounding to the nearest tenth, we get a diameter of 39.6 cm.

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Question 3 of 10
Which choice is the solution to the inequality below?
8x <56

A.x >27
B.x < 7
C.x <48
D.x < 8

Answers

Answer:

That is quite simple,7 is the best choice

Complete the table and then graph the function.y= -4x + 34

Complete the table and then graph the function.y= -4x + 34

Answers

Answer:

Step-by-step explanation:

Complete the table and then graph the function.y= -4x + 34

Leena read a book that had a perimeter of 72 cm. If one side of the book is 16 cm, what is the length of the other side? a)20cm b. 40cm c. 32cm

Answers

Based on the information given, it can be seen that the length or the book will be 20cm.

How to solve perimeter.

From the information given, Leena read a book that had a perimeter of 72 cm and one side of the book is 16 cm. Therefore, the length will be calculated thus:

Perimeter = 2(Length + Width)

72 = 2(Length + 16)

72 = 2L + 32

2L = 72 - 32

2L = 40

L = 40/2

L = 20

Therefore, the length is 20cm.

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Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?

А. m(x) = 3x + 3

B. m(x) = -3x + 5

C. m(x) = -3x - 3

D. m(x) = 7x + 5​

Answers

Answer:

m(x) =-3x -3

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x +4

f(x) -g(x) =  2x + 1 -( 5x +4)

Distribute the minus sign

f(x) -g(x) =  2x + 1 -5x -4

Combine like terms

            = 2x-5x   +1 -4

             = -3x -3

Because age cannot be an independent variable, research on aging uses a(n) ______________ type of design.

Answers

Research on aging uses a **longitudinal** design.

A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.

Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.

Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.

Here are some examples of longitudinal studies on aging:

* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.

* The Framingham Heart Study, which has been following a group of adults for over 70 years.

* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.

These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.

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Which graph represents 3x-2y≥4?

Answers

C. Because It shows it

Five times the sum of a number and 7 is 8

Answers

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

Solve.a. Hillary can do a certain puzzle in 5 hours. Bill can do the same puzzle in 7 hours. How longwill it take them if they work together?b. A motor boat goes 10 miles against the current in a river in the same time that it goes 15miles with the current. If the rate of the current is 3 mph, find the rate of the boat in stillwater.

Answers

So, it takes Hillary and Bill approximately 4.35 hours to complete 1 puzzle together and the speed of the boat in still water is approximately 12 mph.

a. Let's call the time it takes for Hillary and Bill to complete the puzzle together "t." We know that in 5 hours, Hillary can do 1 puzzle, so her rate is 1/5 puzzles per hour. Bill can do 1 puzzle in 7 hours, so his rate is 1/7 puzzles per hour. When they work together, their combined rate is (1/5 + 1/7) puzzles per hour. To find the time it takes them to complete 1 puzzle together, we set up an equation: t = 1 / (1/5 + 1/7). Solving for t, we find that it takes them approximately 4.35 hours to complete 1 puzzle together.

b. Let's call the speed of the boat in still water "s." When the boat is going against the current, its speed is s - 3 mph, and when it is going with the current, its speed is s + 3 mph. We know that it takes the same amount of time for the boat to go 10 miles against the current and 15 miles with the current, so we can set up an equation: 10 / (s - 3) = 15 / (s + 3). Solving for s, we find that the speed of the boat in still water is approximately 12 mph.

Therefore, it takes Hillary and Bill approximately 4.35 hours to complete 1 puzzle together and the speed of the boat in still water is approximately 12 mph.

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For ð inputs, there are ___ subsets of those features!

Answers

For ð inputs, there can be an infinite number of subsets of those features. This is because a subset is a collection of some or all of the features within the inputs. Therefore, the number of possible subsets is determined by the number of possible ways in which we can choose from the available features.

For instance, if we have three features within an input, we can create subsets of one, two, or all three features. This gives us a total of seven possible subsets. However, this is not the only way in which we can create subsets. We can also create subsets that contain no features or any combination of features, which increases the number of possible subsets even further.

Therefore, the total number of possible subsets for ð inputs is limitless. It is important to note that not all subsets will be relevant or useful, but the more subsets we have, the more options we have for creating effective models or making informed decisions based on the inputs and features.

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For ð inputs, there can be an infinite number of subsets of those features. This is because a subset is a collection of some or all of the features within the inputs. Therefore, the number of possible subsets is determined by the number of possible ways in which we can choose from the available features.

For instance, if we have three features within an input, we can create subsets of one, two, or all three features. This gives us a total of seven possible subsets. However, this is not the only way in which we can create subsets. We can also create subsets that contain no features or any combination of features, which increases the number of possible subsets even further.

Therefore, the total number of possible subsets for ð inputs is limitless. It is important to note that not all subsets will be relevant or useful, but the more subsets we have, the more options we have for creating effective models or making informed decisions based on the inputs and features.

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In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread

Answers

Answer:

The correct option is;

C. Marginal frequency

Step-by-step explanation:

The objective of comparison of two distributions is to check the significant difference from each other

The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves

Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table

The marginal frequency is used to calculate the marginal relative frequency

The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.

Answer:

C. Marginal frequency

Step-by-step explanation:

Solve for X:

Need help ASAP

Solve for X: Need help ASAP

Answers

Divide your answer since they intersect!

Answer:

x = 20°

Step-by-step explanation:

So basically, since the 2 values are on the opposite side of an "x," you just set the 2 values each to each other and solve for x.

6x - 20 = 100

+20 +20

6x = 120

÷6 ÷6

x = 20

Kelley used 5 cups of beans for the bottom layer of her taco dip. How many grams of sodium were in the beans Kelley used? Check your answer by using 0.8 gram as an estimate for the sodium. What is your estimated answer?

The grams of sodium are 0.75 g

Answers

The estimated amount of sodium in the 5 cups of beans Kelley used would be approximately 4 grams.

If the amount of sodium in each cup of beans is 0.75 grams, then for 5 cups of beans, the amount of sodium would be:

0.75 grams * 5 cups = 3.75 grams

So, the estimated amount of sodium in the 5 cups of beans Kelley used would be 3.75 grams.

Using 0.8 grams as an estimate, we would estimate the amount of sodium as:

0.8 grams * 5 cups = 4 grams

So, the estimated amount of sodium in the 5 cups of beans Kelley used would be approximately 4 grams.

0.75 grams * 5 cups = 3.75 grams

So, the estimated amount of sodium in the 5 cups of beans Kelley used would be 3.75 grams.

Using 0.8 grams as an estimate, we would estimate the amount of sodium as:

0.8 grams * 5 cups = 4 grams

Therefore, the estimated amount of sodium in the 5 cups of beans Kelley used would be approximately 4 grams.

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Please help I will mark you as brainliest!

Please help I will mark you as brainliest!

Answers

Answer:

assam gujarat rajasthan

I’m really confused can anyone solve this?

Im really confused can anyone solve this?

Answers

Answer:

17 i think

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

Use pythagorean theorem since you have a right angle. So \(c^{2} = a^{2} + b^{2}\)

so in this case \(c^{2} = 5^{2} + 12^{2}\)  so c = \(\sqrt{25+144}\) and c = \(\sqrt{169}\) so c = 13

Write an equation for a line through (-2,4) with m= -4 in standard form.
A)4x + y = - 4
B)4x - y = - 4
C)-4x - y = 4
D)-4x + y = - 4

Answers

Answer:

4x+y=-4

Step-by-step explanation:

gradient(m)=y2-y1/x2-x1

the line also passes through points (x,y) and (-2,4)

-4=4-y/-2-x

cross multiplying

8+4x=4-y

option(A):4x+y=-4

is your answer.

please answer...........

please answer...........

Answers

Answer:

It would be B

If y:28=5:7, find y​

Answers

Answer:

y = 20

Step-by-step explanation:

\(y : 28 = 5 : 7 \\ \\ \frac{y}{28} = \frac{5}{7} \\ \\ y = \frac{5 \times 28}{7} \\ \\ y = 5 \times 4 \\ \\ y = 20\)

Other Questions
10-4216-5 help pls what is 31/5= to pls show example Find the missing quantity with the information given. Round rates to the nearest whole percent and dollar amounts to the nearest cent% markdown = 40Reduced price = $144$ markdown = ? Please select the word from the list that best fits the definitionthere According to Confucius, a good leader is a __________ one.A.moralB.aggressiveC.ruthlessD.violentPlease select the best answer from the choices providedABCD Complete the senteces with past simple or past continuousIt. (be) a rainy day of November. We. (come) from school at 2 oclock. We. (not be) very hungry but we. (be) too cold. While we. (walk) with my umbrella, we. (find) a coin. It. (not be) a normal coin, it. (be) a strange coin. We. (not continue) walking. We. (be) a bit nervous. What should we do? Maybe, we ______ to (have) put the coin where we ______ (find) it. We _____ (do) this. We ________ (walk) on the street, when a tall man ______ (ask) us for the coin. We ______ (tell) him that the coin _____ (be) at the beginning of the street. We _________ (know) what ______________ (happen), so we ________ (continue) walking Hi! How are you? Which is a characteristic of a novel?A) It is written in poetryB) It can typically be read in one sitting C) It expresses more than one theme D) It is nonfiction Thank you! :D Answer all parts (a)-(c) of this question. In the market for widgets, demand D is given by D= 120 3p where p is the price paid by consumers. There is one firm whose supply function is given by S = 20 + p. (a) [10 marks] A market equilibrium implies D = S. Find the equilibrium price and quantity traded. Draw a graph of these supply and demand functions (putting p on the "y-axis") and illustrate this equilibrium outcome on that graph. (b) [8 marks] Suppose now there are 2 firms in the market where each has supply function S = 20 + p. Explain why industry supply is given by SI = 40 + 2p. Solve for the equilibrium price and quantities traded where D = SI . Illustrate on a diagram how the market equilibrium changes compared to your answer in part(a). Why does each firm produce less than the amount supplied in your answer for part (a)? (c) [7 marks] Solve for a market equilibrium when there are n firms in the market and each firm has supply function S = 20+p. By using differentiation, show how the equilibrium price, the quantity sold by each firm and total market output vary with = n. 7. What is the acceleration of a 1,300 kg truck with a net force of 5,000 newtons (N)? A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters What's the verb in it might be hot the data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. find (a) the number of classes, (b) the class limits for the second class, and (c) the class width. the johari window is a model that explains how self-disclosure _____. the likelihood of divorce is ________ if partners belong to different faiths. ( ) project work. the amount of time it takes victoria to solve crossword puzzles can be modeled by a continuous and uniformly distributed random time between 4 minutes and 12 minutes. what is the probability that it will take victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes? provide the final answer as a fraction. In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: ax(t) = 9t - 6t2 + 25e-t/F, where t is in seconds, ax is in meters per square second, and the constant F is in seconds. At t = 0, the particle was at position x = 7 m with a velocity pointing towards the positive x-axis and having magnitude 15 m/s. In the following problem you can take the constant F = 1.0 s. b. Suppose the same 1000-bit message is sent two different times independently of one another. What is the approximate probability that the number of errors in the first transmission is within 50 of the number of errors in the second Score: 50/10012/20 answeredQuestion 14James recently hired a roofer to do some necessary work. On the final bill, James was charged a total of$771. $375 was listed for parts and the rest for labor. If the hourly rate for labor was $66, how many hoursof labor was needed to complete the job?(A) First write an equation you can use to answer this question. Use x as your variable and express anypercents in decimal form in the equation.The equation is(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.Answer: The number of labor hours wasQuestion Help: D Video D Post to forumType here to searchIIE Can u help me with this it would be alot helpuful