The graph shown is a scatter plot:

A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)

Group of answer choices

Point D

Point B

Point C

Point A

Answers

Answer 1
you’re answer is b.
i did this already
Answer 2

Answer:

D

Step-by-step explanation:

if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!


Related Questions

Find the distance between the points (–2,8) and (–2,3).

Answers

Answer:

I think it's 5

Step-by-step explanation:

I am not really sure but I tried I guess

If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes? 133.9 in.3 137.6 in.3 141.9 in.3 145.6 in.3

Answers

Answer:

Its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Lynn is trying to determine how far away Student B is from the balloon. He decides to use the

equation shown below. Is his equation correct? Why or why not?

5

cos 60º =

BIV x

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the image that illustrates the scenario is not given.

However, I can deduce that the question is about a right-angled triangle.

So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.

For triangle A (solve for b)

Using cosine formula.

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos 60= \frac{5}{b}[/tex]

Make b the subject

[tex]b= \frac{5}{\cos 60}[/tex]

For triangle B (solve for b)

Using cosine formula.

[tex]\sin \theta = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin 60= \frac{b}{5}[/tex]

Make b the subject

[tex]b = 5\sin 60[/tex]

For triangle C (solve for b)

Using cosine formula.

[tex]\tan \theta = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan 60= \frac{b}{5}[/tex]

Make b the subject

[tex]b = 5\tan 60[/tex]

Answer:

Did you get the answer If so please give it to me.

Step-by-step explanation:

A random sample of size 25 is to be taken from a population that is normally distributed with mean 60 and standard deviation 10. The average of the observations in our sample is to be computed. The sampling distribution is
A. Normal with mean 60 and a standard deviation of 10.
B. Normal with mean 12 and a standard deviation of 2.
C. Normal with mean 60 and a standard deviation of 0.4.
D. Normal with mean 60 and a standard deviation of 2.

Answers

The correct option is D. Normal with mean 60 and a standard deviation of 2.

A sampling distribution is a probability distribution derived from taking numerous samples of a specific size from a population. The characteristics of the sampling distribution are determined by the sample size and how the samples are collected.

Standard deviation is the amount by which the observations in a dataset deviate from the mean. It is a measure of variability that reflects the degree to which data is spread around the mean.

The higher the standard deviation, the more spread out the data is.What is the formula for the standard deviation of a sampling distribution?σ_x = σ/√nWhere,σ_x is the standard deviation of the sampling distribution σ is the population standard deviationn is the sample size

To calculate the standard deviation of the sampling distribution, we must first identify the population standard deviation, which is 10 in this case, and the sample size, which is 25.σ_x = σ/√nσ_x = 10/√25σ_x = 2Therefore, the standard deviation of the sampling distribution is 2.

The mean of the sampling distribution is equal to the population mean, which is 60. Thus, the sampling distribution is normal with a mean of 60 and a standard deviation of 2.

Therefore, option D is correct.Normal distribution has a shape that is symmetrical and bell-shaped with a mean of 0 and a standard deviation of 1. The curve's tail will continue indefinitely in both directions.

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The correct answer is option D. Normal with mean 60 and a standard deviation of 2.

A random sample of size 25 is to be taken from a population that is normally distributed with a mean 60 and a standard deviation 10.

The average of the observations in our sample is to be computed.

The sampling distribution is Normal with a mean 60 and a standard deviation of 2.

What is the sampling distribution? When we take the average of a large number of samples drawn from a normally distributed population, the resulting distribution is referred to as a sampling distribution.

Because the population is normally distributed, the mean of the sampling distribution will be the same as the population mean, which is 60.

The standard deviation of the sampling distribution is determined by dividing the population standard deviation by the square root of the sample size, therefore the standard deviation of the sampling distribution is 2.

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P(A) = 0.35, P(B) = 0.55, P(A and B) = 0.10. P(BA)

Answers

The probability of event B given event A P(B|A) is approximately 0.2857

P(B|A), the probability of event B given event A, we use the formula:

P(B|A) = P(A and B) / P(A)

P(B|A) denotes conditional probability the probability of event B depends on another event A.

Given the following probabilities:

Probability of event A P(A) = 0.35

Probability of event B P(B) = 0.55

Probability of event  A  and B (A and B) = 0.10

We can calculate P(B|A) as follows:

P(B|A) = P(A and B) / P(A)

P(B|A) = 0.10 / 0.35

P(B|A) ≈ 0.2857

Therefore, P(B|A) is approximately 0.2857.

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HELPPPPPPPPPPPPPppppppppp number 4

Answers

Answer:

3 dots

Step-by-step explanation:

This should be correct due to there only being 3 100% on the table

help! rs - st + m - tv​

Answers

Answer:

umm, i think the question is incomplete

Step-by-step explanation:

ill mark brainliest, question is attached

Answers

Answer:

w=8

Step-by-step explanation:

[tex]72=7w+2w\\72=9w\\\frac{72}{9} =w\\w=8[/tex]

proof:

[tex]72=7(w)+2(w)\\72=7(8)+2(8)\\72=56+16\\72=72[/tex]

Answer:

Simplest-9w=72, w=8

Step-by-step explanation:

7w+2w=9w

72/9=8

w=8

Please help, GodBless.

Answers

Answer:

m = - 6 :)

Step-by-step explanation:

The function C(x) = -2x2 + 38x + 40 models the sales, in hundreds of

millions of dollars, of compact discs for years since 1990.

Answers

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

[tex]C(x) = -2x^2 + 38x + 40[/tex]

Required

Find x when [tex]C(x) = 0[/tex]

This gives:

[tex]C(x) = -2x^2 + 38x + 40[/tex]

[tex]-2x^2 + 38x + 40=0[/tex]

Expand

[tex]-2x^2 + 40x -2x+ 40=0[/tex]

Factorize:

[tex]-2x(x - 20) -2(x- 20)=0[/tex]

[tex](-2x - 2)(x- 20)=0[/tex]

Solve for x

[tex]-2x-2=0\ or\ x - 20 = 0[/tex]

[tex]x = -1\ or\ x = 20[/tex]

x represents time.  So, it cannot be negative.

[tex]x = 20[/tex]

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0

In a particular chi-square goodness-of-fit test, there are six categories and 575 observations. Use the 0.02 significance level. a. How many degrees of freedom are there? Degrees of freedom 5 es b. What is the critical value of chi-square? (Round your answer to 3 decimal places.) Critical value 9.837

Answers

a. There are 5 degrees of freedom in the data

b. The critical value represents the value beyond which the test statistic must exceed to reject the null hypothesis.

How many degrees of freedom are there?

In a chi-square test, the degrees of freedom (df) can be calculated as (number of categories - 1). In this case, there are six categories, so the degrees of freedom would be:

df = 6 - 1

df = 5

Therefore, there are 5 degrees of freedom.

To find the critical value of chi-square at a significance level of 0.02 and 5 degrees of freedom, you can refer to a chi-square distribution table or use a statistical calculator. The critical value represents the value beyond which the test statistic must exceed to reject the null hypothesis.

For a significance level of 0.02 and 5 degrees of freedom, the critical value of chi-square is approximately 9.837 (rounded to 3 decimal places).

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Last week, Shane bought 11 books and 4 movies for a total of
$92.
Today, Shane bought 9 books and 9 movies for a total of $144.
Assuming neither item has changed in price, what is the cost
of a book in dollars?

Answers

Answer: 1 book= 8 dollars

Step-by-step explanation:

9 x8= 72 meaning that 72 + 72 = 144 so 1 book must equal 8 dollars

The 1 book and shake bought 4 movies

Which of the following figures has a length, width, and height?
A. Square
B. Line segment
C. Point
D. Pyramid

Answers

Answer:

I believe

D. Pyramid

Is the answer I did it in 6th or 7th grade

Step-by-step explanation:

Square is flat so no height.  

Line segment is a flat line so no height  

point is a literal dot  

pyramid is a 3d figure so it would have all of the attributes

We both helped right?

Answer:

Pyramid

Step-by-step explanation:

Square is flat so no height.

Line segment is a flat line so no height

point is a literal dot

pyramid is a 3d figure so it would ahve all of the attributes

Find the area of polygon MNOP formed by the coordinates given below.

M (8,5)
N (8,-4)
O (-7,-4)
P (-7,5)
A.
48 square units
B.
135 square units
C.
15 square units
D.
150 square units

Answers

Answer:

B

Step-by-step explanation:

got it right on edg

Find the curvature of y = sin(–1x) at x = pi/4

Answers

The curvature of y = sin(–1x) at x = pi/4 is 2√2/3.

Curvature is the measure of how much a curve bends. It is the rate at which the unit tangent vector changes with respect to arc length. It is given by the formula,K = |dT/ds|Where K is curvature, T is the unit tangent vector, and s is arc length.So, the first step is to find the first derivative of y, which is given by,dy/dx = -1/√(1-x²)Now, we find the second derivative of y which is given by,d²y/dx² = x/(1-x²)^(3/2)At x = pi/4, we have,d²y/dx² = (π/4)/(1-(π/4)²)^(3/2) = 2√2/3Therefore, the curvature of y = sin(–1x) at x = pi/4 is 2√2/3.

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Please help meee! I will give brainleiest!

Answers

Answer:

What do you need help with?

What doth thee needeth help with?

您需要什么?


Discrete math proof
Theorem: 0.1 Let a and n be positive natural numbers. Then the following statements are equivalent. • GCDa, n) = 1 (Relatively Prime) a is not a zero divisor. (ab = 0) b=0) There exists a natural nu

Answers

The theorem states that for positive natural numbers a and n, the statements "GCD(a, n) = 1" (a and n are relatively prime), "a is not a zero divisor," and "there exists a natural number b such that ab ≡ 1 (mod n)" are all equivalent.

How to find the equivalent statements in the theorem regarding positive natural numbers a and n?

The theorem establishes the equivalence of three statements concerning positive natural numbers a and n. Firstly, if the greatest common divisor (GCD) of a and n is 1, it indicates that a and n are relatively prime.

This means that they have no common factors other than 1.

The second statement states that if a is not a zero divisor, then it implies that a multiplied by any nonzero element b is not equal to zero. In other words, a does not "annihilate" any nonzero element in multiplication.

Lastly, the theorem asserts that if there exists a natural number b such that ab ≡ 1 (mod n), it signifies the existence of a multiplicative inverse of a modulo n.

This means that a and n have a modular inverse, which is a natural number that, when multiplied by a, gives a remainder of 1 when divided by n.

The theorem shows that these three statements are equivalent, meaning that if one statement is true, then the other two statements will also hold.

The proof of this theorem involves establishing the logical connections between these statements and demonstrating that they are always true under the given conditions.

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The scatter plot shows the relationship between backpack weight and student weight. Which statement describes the data shown in the scatter plot?
A) A potential outlier at (12, 50).
B) A potential outlier at (50, 12).
C) A cluster between a student weight of 40 kg to 70 kg.
D) A cluster between a backpack weight of 4 kg to 12 k

Answers

Answer:

the answer is B on USA Prep

Step-by-step explanation:

"A potential outlier at (50, 12)" is the statement that best describes the data shown in the scatter plot.

What is the line of best fit?

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The scatter plot shows the relationship between backpack weight and student weight.

From the given choices:

An outlier is a value that nowhere near the range of the data set.

From the scatter plot:

A potential outlier at (50, 12).

Therefore, a potential outlier at (50, 12).

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Let T be a relation defined on z such that aT bab (mod). Show that T is an equivalence relation.

Answers

To show that the relation T defined on the set of integers Z is an equivalence relation, we need to prove three properties: reflexivity, symmetry, and transitivity.

1. Reflexivity: For any integer a, we need to show that aTa (mod). In modular arithmetic, a is congruent to itself modulo any integer, so this property holds.

2. Symmetry: For any integers a and b, if aTb (mod), then we need to show that bTa (mod). In modular arithmetic, if a is congruent to b modulo some integer, then b is also congruent to a modulo the same integer. Therefore, the symmetry property holds.

3. Transitivity: For any integers a, b, and c, if aTb (mod) and bTc (mod), then we need to show that aTc (mod). In modular arithmetic, if a is congruent to b modulo some integer and b is congruent to c modulo the same integer, then a is also congruent to c modulo that integer. Therefore, the transitivity property holds.

Since the relation T satisfies all three properties (reflexivity, symmetry, and transitivity), we can conclude that T is an equivalence relation.

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What is the difference of the value of Lily's expression , 6x-3, when x=5 and the value of Pedro's expression when x=5 ? Show or explain how you got your answer.

Answers

Given Info : What is the difference of the value of Lily's expression , 6x-3, when x=5 and the value of Pedro's expression when x=5 .

To Find :- Show or explain how you got your answer.

Solution:-

The expression is 6x-3 , and we need to find its value at x = 5 , On putting x =5 we have

6*5-3 = 30-3 = 27.

This value will come same in case of Pedro, therefore our required answer is 5

P l e a s e a n s w e r t h i s

Answers

Answer : 1/2 gallon

Explanation:

There were a total of 5 gallons collected, as the question states.

There are 3 x's above 1/4, 2 x's above 3/8, 4 x's above 5/8 and 1 x above 1. This is a total of

3+2+4+1 = 10 x's. This means there were 10 trees.

If 5 gallons is evenly distributed among 10 trees, this would give us the ratio 5/10, which simplifies to 1/2 gallon per tree.

....this answer is not from me. The same question was asked on brainy and I've copy pated it, it is the right answer tho. Credit goes to "MsEHolt" for answering.

Which is greater? 800 m or 799,999 mm

Answers

Answer:

800m

Step-by-step explanation:

Answer:

799,9999 is gearter

Step-by-step explanation:

ok is that ur answer to your question

What is the percent of change from 10 to 8?

Answers

-20%
If you are going down percentage, it will be negative. When you take 8/10 you get 0.8. Subtract 0.8 from 1.0 and you get 0.2. Multiply 0.2 by 100 and you get 20. -20%

Complete the equation of this circle:
Please help will mark brainliest!!

Answers

Answer:

(x+2)^2 +(y-4)^2

Step-by-step explanation:

correct answer: ( x - ( -2 ) ) ² + ( y - 4 ) ² = 36

so put in -2 for the first blank, 4 for the second and 36 for the last blank!

btw it can be simplified to (x+2)² + (y-4)² = 6²

but thats not what theyre asking for ^^

Find the slope plz help ASAP!!

Answers

Up 3 left 4
Slope= -3/4

A homologous series of centrifugal pumps has a specific speed of 1.1 and are driven by 2400-rpm motors. For a 400-mm size within this series, the manufacturer claims that the best efficiency of 85% occurs when the flow rate is 500 L/s and the head added by the pump is 895 m. What would be the best-efficiency operating point for a 300-mm size within this homologous series, and estimate the cor- responding efficiency

Answers

For centrifugal, the best-efficiency operating point for a 300-mm size within this homologous series, and estimate the corresponding efficiency can be calculated as follows:

Given data: Specific speed (Ns) = 1.1Speed of motor (N) = 2400 rpm Best efficiency of 400 mm size pump within this series is 85%The flow rate (Q) at best efficiency is 500 L/s The head added (H) by the pump at best efficiency is 895 m We are required to find the best efficiency and operating point of a 300-mm size within this homologous series.

As per affinity laws of pump, the performance of pumps that are geometrically similar but of different sizes can be compared by the equation:N1/Q1 = N2/Q2 (speed and flowrate relationship)H1/H2 = (D1/D2)² (head and diameter relationship)P1/P2 = (D1/D2)³ (power and diameter relationship)Where,N1 and N2 are speeds of the pumpsQ1 and Q2 are the flowrates of the pumpsH1 and H2 are the heads added by the pumpsD1 and D2 are the diameters of the pumpsP1 and P2 are the power input of the pumps

This information can be used to estimate the best efficiency operating point of the 300-mm pump. Let's assume that the efficiency of the 300-mm pump at the best efficiency operating point is η.We can use the pump affinity laws to estimate the efficiency of the 300-mm pump as follows:η1/η2 = (D1/D2)³ (efficiency and diameter relationship)η1 = 85% (best efficiency of 400-mm pump)η2 = η (efficiency of 300-mm pump)D1 = 400 mmD2 = 300 mm∴ η1/η2 = (D1/D2)³η2 = η1 / (D1/D2)³= 85% / (400/300)³= 69.7%

Therefore, the best efficiency of the 300-mm pump is 69.7%.Answer: The best-efficiency operating point for a 300-mm size within this homologous series is a flow rate of 500 L/s and a head of 677 m. The corresponding efficiency is 69.7%.

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State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement

Answers

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

A sample of 110 one-year-old spotted flounder had a mean length of 120.18 millimeters with a sample standard deviation of 18.08 millimeters, and a sample of 138 two-year-old spotted flounder had a mean length of 134.96 millimeters with a sample standard deviation of 27.41 millimeters. Construct a 95% confidence interval for the mean length difference between two-year-old flounder and one-year-old flounder. Let μ_1, denote the mean length of two-year-old flounder and round the answers to at least two decimal places.
A 95% confidence interval for the mean length difference, in millimeters, between two- year-old flounder and one-year-old flounder is ____ <μ_1 - μ_2 < _____

Answers

The 95% confidence interval for the mean length difference between two-year-old flounder and one-year-old flounder is (8.03 mm, 21.53 mm).

How to calculate the value

Using a t-table or calculator, we can find the t-value corresponding to a 95% confidence level and 109 degrees of freedom. The t-value is approximately 1.984.

Substituting the values into the formula:

CI = (134.96 - 120.18) ± 1.984 * √[(18.08² / 110) + (27.41² / 138)]

CI = 14.78 ± 1.984 * √[(327.2064 / 110) + (752.6681 / 138)]

CI = 14.78 ± 1.984 * √[2.9746 + 5.4557]

CI = 14.78 ± 1.984 * √8.4303

CI = 14.78 ± 1.984 * 2.9015

CI = 14.78 ± 5.7519

CI = (8.0281, 21.5319)

The 95% confidence interval for the mean length difference between two-year-old flounder and one-year-old flounder is (8.03 mm, 21.53 mm).

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Derek will deposit $6,460.00 per year for 21.00 years into an
account that earns 14.00%, The first deposit is made next year. How
much will be in the account 40.00 years from today? Answer format:
Cur

Answers

The total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

Derek plans to deposit $6,460.00 per year for 21.00 years into an account with an annual interest rate of 14.00%. The first deposit will be made next year.

To calculate the total amount in the account 40.00 years from today, we need to consider the annual deposits, the interest earned, and the compounding effect over the years.

The annual deposit is $6,460.00, and the duration of deposits is 21.00 years.

Therefore, the total amount of deposits made over the 21.00 years will be 21.00 × $6,460.00 = $135,660.00.

To calculate the future value of the deposits and the interest earned, we can use the compound interest formula:

Future Value = Principal × [tex](1 + interest\, rate)^{number\, of\, periods}[/tex]

In this case, the principal is $135,660.00, the interest rate is 14.00%, and the number of periods is 40.00 years.

Future Value = $135,660.00 × [tex](1 + 0.14)^{40}[/tex]

Future Value = $135,660.00 × [tex](1.14)^{40}[/tex]

Future Value = $135,660.00 × 45.094

Future Value = $6,120,433.84

Therefore, the total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

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Ben conducted an experiment to determine the association between the number of hours spent studying per day with GPA. The line of best fit for his data has a slope of 1, with time, in hours, as the independent variable x and GPA as the dependent variable, y. What does a slope of 1 mean in this context?
A) GPA is 1 point every hour.
B) GPA of 1 point is at zero hours.
C) GPA increases by 1 additional point per hour.
D) Time decreases by 1 hour for every GPA point increase.

Answers

Answer:

C.

Step-by-step explanation:

Since the slope is 1 meaning it goes up and over by 1 the GPA would increase by 1 every hour

Answer:

c

Step-by-step explanation:

Other Questions
Question 2 (34 Marks) i. Using a named PROJECT enterprise identify four (4) broad categories of risk (4 marks) ii. For each of the broad categories identified in (i) list two (2) potential risks that pose a threat to the objectives of the PROJECT. (8 marks) iii. (12 marks) Develop a Risk Register for the broad and sub-categories of risk. Prepare a Risk Impact Matrix from the information in (iii) above. iv. (10 marks) Residual dividend policy As president of Young's of California, a large clothing chain, you have just received a letter from a major stockholder. The stockholder asks about the company's dividend policy. In fact, the stockholder has asked you to estimate the amount of the dividend that you are likely to pay next year. You have not yet collected all the information about the expected dividend payment, but you do know the following: (1) The company follows a residual dividend policy. (2) The total capital budget for next year is likely to be one of three amounts, depending on the results of capital budgeting studies that are currently under way. The capital expenditure amounts are $2.1 million, $3.1 million, and $4.1 million. (3) The forecasted level of potential retained earnings next year is $2.1 million. (4) The target or optimal capital structure is a debt ratio of 45%. You have decided to respond by sending the stockholder the best information available to you. a. Compute the amount of the dividend (or the amount of new common stock needed) and the dividend payout ratio for each of the three capital expenditure amounts. b. Compare, contrast, and discuss the amount of dividends (calculated in part a) associated with each of the three capital expenditure amounts. A claims examiner employed by a third-party payer reviews health-related claims to determine whether the charges are reasonable, in addition to :________ 17. all change requests are recorded in _____. a. project workbook b. post-it notes c. access database d. project scope log e. change request log a digital marketing manager has upgraded their keywords to broad match. which behavior should they build into their regular cadence of optimization to guide machine learning? create additional phrase and exact match keywords to improve reach. remove negative keywords that may block relevant traffic. add customer match lists with data older than 90 days. dismiss recommendations to add relevant new keywords. discuss the future or emerging technologies that would be leveraged to give circuit city a competitive advantage How would you use the concept of the time value of money todetermine the value of the business? (explain deeply) Suppose the government mandates higher interest rates for checking accounts. Claim: The Central Bank can stabilize output in the short run and in the long run by cutting the money supply. (Hint 1: Checking accounts are part of the money stock. So, consider what a higher interest rate on checking does to the desire to hold money. Hint 2: First graph what happens in the short run and the long run as a result of the higher interest rate on checking accounts. Then consider how the Central Bank can stabilize.) King Melchizedek tells the boy that when we are children, "everything is clear and everything is possible," but as time passes a mysterious force convinces us to abandon our dreams (p. 21-22). Do you think this is true? What are the "mysterious forces" that threaten to hold us back as we grow older? Using the terms you learned from the Heros Journey model, what is another way to describe these mysterious forces? The alchemist Consider the set S = (v = (1,0,0), v = (0, 1,0), v = (0, 0, 1), v = (1, 1, 0), v = (1, 1, 1)). a) Give a subset of vectors from this set that is linearly independent but does not span R. Explain why your answer works. b) Give a subset of vectors from this set that spans R but is not linearly independent. Explain why your answer works. For each of the following situations, how would your base stock level for teddy bears change? a. Mean demand increases, standard deviation decreases it decreases b. Mean demand increases, standard deviation increases it increases We would like to know: "What is the average starting monthly income of people with advanced degrees in biology?" We took a random sample of 16 recent graduates, and found the average to be $4700 and the standard deviation to be $502. a) What is the point estimate for the average starting monthly income of people with advanced degrees in biology?? b) What is the standard error of the mean? c) What is the margin of error, to the nearest cent, for a 90% confidence interval for the average starting monthly income? + $ d) Complete the 90% confidence interval for the average starting monthly income of people with advanced degrees in biology. The following set of data is from a sample of n6. 6 8 2 6 5 11 0 a. Compute the mean, median, and mode. b. Compute the range, variance, and standard deviation The cost of successfully defending a patent in an infringement suit should be a. charged to Legal Expenses. b. deducted from the book value of the patent. c. added to the patents account. d. recognized as a loss in the current period. Assume that you have a sample of n1=7, with the sample mean X1=45, and a sample standard deviation of S1=6, and you have an independent sample of n2=17 from another population with a sample mean of X2=37 and the sample standard deviation S2=5.1.What is the value of the pooled-variance tstat test for testing H0:\mu1=\mu Suppose 0.743 g of potassium chloride is dissolved in 250. mL of a 25.0 m M aqueous solution of silver nitrate. Calculate the final molarity of chloride anion in the solution. You can assume the volume of the solution doesn't change when the potassium chloride is dissolved in it. Round your answer to 3 significant digits. ? urrggentQuestion 1 Northern Star sells several products. Information of average revenue and costs is as follows: Selling price per unit $25 Variable costa per unit Directmaterial $6 Direct manufacturing labor Consider the following balanced equation:6HCl(aq) + 2Al(s) 3H2(g) + 2AlCl3(s)If 17.3 moles of HCl(aq) and 7.07 moles of Al(s) are allowed to react, and the percent yield is 71.8%, how many moles of AlCl3(s) will actually be produced? The demand (in number of copies per day) for a city newspaper, x, has historically been 47,000, 59,000, 69,000, 87,000, or 99,000 with the respective probabilities .1, .16, .4, .3, and .04.Find the expected demand. (Round your answer to the nearest whole number.) Consider the following SUBSPACE S = {A E M3x3(R) : each row sums to 0} = Find a basis for S and state its dimension.