PLEASE HELPP (check my work)

PLEASE HELPP (check My Work)

Answers

Answer 1

1.a) The total revenue received for CD sales was $12,090,000.

1.b) The total revenue received for downloads was $2,499,000.

1.c) The total amount that Craze-K received in royalties last year was $1,240,065.

2) The total royalties that Mr. Pambruccian received last year were $45,210.01.

How the total figures were determined:

a) Rap Singer:

Commission = 8.5%

                                               CDs         Downloads      Total

Number of items sold     1.86 million      2.1 million

Selling price per unit       $6.50             $1.19

Total sales revenue      $12,090,000   $2,499,000   $14,5898,000

                                  (1.86 m x $6.50)  (2.1 m x $1.19)

Sales commission =      $1,027,650      $212,415        $1,240,065

b) Books:

Royalties = 4%

Selling price per book = $45.99

The total number of books sold = 24,576

The total revenue (sales) = $1,130,250,24 (24,576 x $45.99)

Royalties received = $45,210.01 ($1,130,250.24 x 4%)

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Related Questions

what is ratio analysis, in your own words? what are the three different categories of ratios? provide examples. why are they important?

Answers

a) Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures

b) There are three categories of ratios in ratio analysis: liquidity ratios, profitability ratios, and solvency ratios.

c) Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance.

Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures. It involves calculating and interpreting various ratios that provide insight into the financial position, profitability, and liquidity of a company.

There are three categories of ratios in ratio analysis

Liquidity ratios: These ratios help to determine a company's ability to meet its short-term financial obligations. Examples include the current ratio and the quick ratio.

Profitability ratios: These ratios help to evaluate a company's ability to generate profit in relation to its revenue, assets, and equity. Examples include the gross profit margin, net profit margin, and return on assets.

Solvency ratios: These ratios help to assess a company's ability to meet its long-term financial obligations. Examples include the debt-to-equity ratio and the interest coverage ratio.

Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance. It is useful for investors, lenders, and other stakeholders in making informed decisions about investing in or lending to a company.

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Please help me with this i cant figur out how to do it and it is due in 30 minutes CAN ONE OF YALL HELP ME WITH THIS IT IS EASY
What is the surface area of the triangular prism?


144 mm2

100 mm2

38 mm2

152 mm2


Answer___________

Answers

The calculated surface area of the figure is 152 square feet

Calculating the surface area of the figure

From the question, we have the following parameters that can be used in our computation:

The triangular prism

The surface  area is calculated as

SA = hp + 2B

Where

h = height

p = perimeter of base

B = base area


From the figure, we have

B = 1/2 * 6 * 4 = 12

p = 5 + 5 + 6 = 16

h = 8

So, we have

SA = 8 * 16 + 2 * 12

Evaluate

SA = 152

Hence, the surface area is 152 square feet

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help asappp will give brainliest !!!!!!!!!!!!

Answers

Answer:

the total answer is 41.89 ft square

Step-by-step explanation:

i dont have it separately sorry

Y=x-2
5x+4y=28
Solve for substitution

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

{y = x - 2,

{5x + 4y = 28;

Replace y in the second equation with the 1st equation's value:

5x + 4(x - 2) = 28

5x + 4x - 8 = 28

9x = 28 + 8

9x = 36 / : 9

x = 4

y = 4 - 2 = 2

csc u cot u divided by sec u

Answers

cos² u / sin² u = cos² u / (1 - cos² u) is the simplified expression for (csc u cot u) / sec u in terms of cos u. We can calculate it in the following manner.

We can simplify the expression (csc u cot u) / sec u using trigonometric identities.

Recall that:

csc u = 1 / sin u

cot u = cos u / sin u

sec u = 1 / cos u

Therefore, we have:

(csc u cot u) / sec u

= (1/sin u * cos u / sin u) / (1 / cos u) (substituting the identities)

= (cos u / (sin u)²) * cos u (simplifying the fractions)

= cos² u / sin² u (simplifying further)

Recall that:

sin² u + cos² u = 1

Therefore, we can substitute sin² u by 1 - cos² u:

cos² u / sin² u = cos² u / (1 - cos² u)

This is the simplified expression for (csc u cot u) / sec u in terms of cos u.

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Janice would like to have $40,000 to help pay for college in 8 years. Currently, she has $1000. What interest rate, when compounded yearly, would help her reach her goal?

c. Janice's friend Sarah starts with $7800 and wants to have $18, 400 twenty years from now. What interest rate does she need (compounded yearly)?

b. If y represents the amount of money and x represents the number of years after today, find an equation that models Janice's financial situation. What interest rate does she need to earn?

a. What type of function would best model this situation? Explain how you know and write the general form of this function.

d. Is Janice's goal or Sarah's goal more realistic? Justify your response.

Answers

a. The situation can be modeled using exponential growth function since the amount of money is increasing at a constant rate over time. The general form of the function is: A = P(1 + r)^t, where A is the future value, P is the present value, r is the interest rate, and t is the time in years.

b. Using the given information, we can write the equation as:

40,000 = 1,000(1 + r)^8

Dividing both sides by 1,000, we get:

40 = (1 + r)^8

Taking the eighth root of both sides, we get:

1.047 ≈ 1 + r

r ≈ 0.047 or 4.7%

Therefore, Janice needs an interest rate of approximately 4.7% compounded yearly to reach her goal.

c. Using the same formula as above, we can write:

18,400 = 7,800(1 + r)^20

Dividing both sides by 7,800, we get:

2.359 ≈ (1 + r)^20

Taking the twentieth root of both sides, we get:

1.044 ≈ 1 + r

r ≈ 0.044 or 4.4%

Therefore, Sarah needs an interest rate of approximately 4.4% compounded yearly to reach her goal.

d. Janice's goal is less realistic since she would need to earn a higher interest rate in order to reach her goal. Additionally, starting with only $1,000 and expecting to have $40,000 in 8 years is a very ambitious goal, whereas Sarah's goal seems more achievable as she has a longer time horizon and a larger initial investment.

on a roadway with eight 11 ft lanes (four in each direction), a horizontal curve is designed with a radius of 1176 ft, and a concrete wall is built at 70 ft from the center line, what is the sight distance for the driver?

Answers

The sight distance for the driver on the given road with the mentioned conditions is calculated to be approximately 860.8 ft.

To calculate the sight distance for the driver, we need to use the horizontal curve sight distance formula. The formula is:

SD = 2/3 × ((h + R)² / (2 × R - f))

Where:

SD = sight distance

h = height of driver's eye above the roadway surface (in feet)

R = radius of the curve (in feet)

f = distance from the driver's eye to the object or obstacle (in feet)

First, we need to determine the height of the driver's eye. A typical height for a driver's eye above the roadway surface is 3.5 feet. Therefore, we will assume that h = 3.5 ft.

Next, we need to determine f, which is the distance from the driver's eye to the concrete wall. Since the wall is located 70 feet from the center line of the roadway, we can determine f as follows:

f = (W / 2) + S

Where:

W = width of the roadway (in feet)

S = distance from the center line to the wall (in feet)

Substituting the given values, we get:

f = (8 × 11 / 2) + 70 = 114 ft

Now, we can plug in the values for h, R, and f into the sight distance formula:

SD = 2/3 × ((3.5 + 1176)² / (2 × 1176 - 114))

Simplifying the formula, we get:

SD ≈ 860.8 ft

Therefore, the sight distance for the driver on this roadway with a horizontal curve of radius 1176 ft and a concrete wall built at 70 ft from the center line is approximately 860.8 ft.

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$8.40 is what percent of $28?

Percent Proportion-
Percent Equation-

Answers

Answer:

10%

Step-by-step explanation:

Percent proportion:

$28 - 100%

$8,40 - x%

Cross-multiply to find x:

[tex]x = \frac{8.40 \times 100\%}{28} = \frac{840}{84} = 10 \: \%[/tex]

Answer  30%

Step-by-step explanation:

To find what percentage $8.40 is of $28, we can use the following proportion:

part/whole = percent/100

Let x be the percentage we are trying to find, then we can write:

8.40/28 = x/100

To solve for x, we can cross-multiply:

28x = 8.40 * 100

Dividing both sides by 28, we get:

x = (8.40 * 100) / 28 = 30

Therefore, $8.40 is 30% of $28.

4. Nicolas has $650 to deposit into two separate accounts.

Nicolas will deposit $350 into Account I, which earns 3.5% simple annual interest

He will deposit $300 into Account II, which earns 3.25%
interest compounded annually

Nicolas will not make any additional deposits or withdrawals for
5 years.

a. Which account had a better return on investment?

b. What is the total amount of money Nicolas will have in both
accounts?

c. What is the difference between the interest earned on the
two accounts?

Answers

Which account had a better return on investment?

Account I.

What is the total amount of money Nicolas will have in bothaccounts?

$822.12

What is the difference between the interest earned on thetwo accounts?

$17.88

davis & theo hang pictures using their nails. Davis has a 3/4-inch nail. Theo has a 3/8-inch nail. How much longer is Davis's nail than Theo

Answers

What's an example of a common denominator?

The denominators of fractions that are the same are known as common denominators. Think about the following instances: 1/2 + 1/2 = 1 and 3/4 + 1/4 = 1 Since the fractions' denominators are the same in both instances, it is simple to calculate the solution.

According to the given information :

Davi's nail is 3/4 inch long, and Theo's nail is 3/8 inch long. To find how much longer Davis's nail is than Theo's, we need to subtract the length of Theo's nail from the length of Davis's nail:

3/4 inch - 3/8 inch

To subtract these fractions, we need to find a common denominator. The smallest common denominator for 4 and 8 is 8, so we need to convert the fractions:

3/4 inch = 6/8 inch

3/8 inch = 3/8 inch

Now we can subtract:

6/8 inch - 3/8 inch = 3/8 inch

Therefore, Davis's nail is 3/8 inch longer than Theo's nail.

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Using the substitution method, find the solution to this system of equations.
-2x+y=4
-2x+2y=7

Answers

Answer:

The solution to the system of equations is (-1/2, 3).

Step-by-step explanation:

To solve this system of equations using substitution method, we first need to solve one of the equations for one of the variables in terms of the other variable. Let's solve the first equation for y:

-2x + y = 4

y = 2x + 4

Now we can substitute 2x + 4 for y in the second equation:

-2x + 2y = 7

-2x + 2(2x + 4) = 7

Simplifying the equation:

-2x + 4x + 8 = 7

2x = -1

x = -1/2

Now we can use this value of x to find the value of y:

y = 2x + 4

y = 2(-1/2) + 4

y = 3

living at home: according to a 2011 report from the u.s. census, 59% of young men (age 18-24) are living at home with their parents. suppose that we plan to select a random sample of 100 young men from your community. if we use the national figure of 59%, we estimate that the standard error is about 0.05 for results from random samples of 100 young men from your community. when we select a random sample of 100 young men from your community, we find that 50% are living at home. which gives the best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home?

Answers

The best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home is 0.40 and 0.60.What is confidence interval?

A confidence interval is a range of values in which an estimated population parameter lies. The value of this parameter is inferred from sample data with a certain level of confidence. To calculate the confidence interval, the margin of error and the sample mean are combined.

A confidence interval expresses the uncertainty around the estimated parameter of a population. Confidence intervals are useful for determining the reliability of an estimate. In statistical inference, confidence intervals can be used to quantify the level of certainty regarding an estimated population parameter.

What is a 95% confidence interval?A 95% confidence interval implies that if we run the same survey many times, calculating the 95% confidence interval for each survey, 95% of those intervals will contain the true value of the population parameter. It is the most common confidence level used in surveys and statistical studies.

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A sportscaster predicted that the local high school baseball team has a 75% chance of winning tonight. Select all of the values that represent the probability of the team not winning.

Answers

the values that represent the probability of the team not winning.

b) 0.25

d) 25%

e) 3/4

f) 1/4

These values represent the probability of the team not winning, which is the complement of the probability of winning (75%).

b) 0.25 is the decimal representation of the probability of not winning, which is 1-0.75.      

d) 25% is the percentage representation of the probability of not winning, which is also 100%-75%.

e) 3/4 is the fraction representation of the probability of winning, so 1-3/4 gives the probability of not winning.

f) 1/4 is the fraction representation of the probability of not winning, which is the complement of the probability of winning (3/4).

These are the options that represent the probability of the team not winning.

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A sportscaster predicted that the local high school baseball team has a 75% chance of winning tonight. Select all of the values that represent the probability of the team not winning.

a)0.75 b)25% c)0.25d) 75%e)3/4f)1/4

Which graph shows a system of equations with one unique solution at (0, 5)?


The graph shows two parallel lines.

The graph shows lines, which intersect at 0 comma 5.

The graph shows lines, which intersect at 1 comma 6.

The graph shows two lines, which appear as one line.

Answers

The graph which shows a system of linear-equations with one unique solution at (0,5) is option-B which shows lines, intersecting at (0,5).

What is system of linear equations?

The collection of two or more linear equations is called as system of linear equations. The linear equations have the degree of variable as one. Though a single linear equation can have infinite number of solutions, but a pair of linear equation can be classified as consistent or inconsistent. The equations which are consistent have either one solution or infinte solutions. The intersecting pair of consistent equations have unique solution whereas the coinciding pair of consistent equations have infinite number of solutions. The equations which are inconsistent are the parallel lines which do not have any solution.

Here the system must have one unique solution as (0,5)

a)graph as parallel lines: which means they are inconsistent & do not have any solution.

b)The graph shows lines intersecting at (0,5): which means the system is consistent with unique solution (0,5)

c)The graph shows lines intersecting at (1,6): which means the system is consistent with unique solution (1,6)

d)graph shows two lines which appear as one: means the lines are coinciding with infinite solutions.

So the answer is option-B

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a hospital receives 1/5 of its flu vaccine shipments from company x and the remainder of its shipments from other companies. each shipment contains a very large number of vaccine vials. for company x's shipments, 8% of the vials are ineffective. for every other company, 3% of the vials are ineffective. the hospital tests 30 randomly selected vials from a shipment and finds that one vial is ineffective. what is the probability the shipment came from company x?

Answers

The probability that the shipment came from company X, given one ineffective vial was found, is 0.4 or 40%.

To find the probability ,we will use the Bayes' theorem.

Determine the prior probabilities.

P(X) = Probability that the shipment is from company X = 1/5

P(Y) = Probability that the shipment is from other companies = 1 - 1/5 = 4/5

Determine the likelihood probabilities.

P(I|X) = Probability of finding an ineffective vial given the shipment is from company X = 8%

P(I|Y) = Probability of finding an ineffective vial given the shipment is from other companies = 3%

Determine the probability of finding an ineffective vial.

P(I) = P(I|X) × P(X) + P(I|Y) × P(Y) = (8% × 1/5) + (3% × 4/5)

     = 0.08 × 0.2 + 0.03 × 0.8 = 0.016 + 0.024

     = 0.04

Use Bayes' theorem to find the probability that the shipment is from company X given an ineffective vial.

P(X|I) = (P(I|X) × P(X)) / P(I)

        = (0.08 × 0.2) / 0.04 = 0.016 / 0.04

        = 0.4

The probability that the shipment came from company X, given one ineffective vial was found, is 0.4 or 40%.

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Sean is walking around a track that is 440 yards long he Has walked around the track seven times so far if he wants to walk 4 miles how many more Times does he needs to walk around the track?

Answers

Answer:

I think the answer is

1760

Find the surface area of a square pyramid with side length 6 ft and slant height 7 ft.

Answers

Answer:  42

Step-by-step explanation:

  6x7=42 ft

Help on this question

Answers

The missing entries are (a) $686, (b) $635, (c) $1035, (d) $1010, (e) $938.88 and (f) $447.37.

What is Debit Card?

A debit card is one that a person owns, and when they use it to make a purchase, the money is instantly withdrawn from or added to their account.

A table listing Gino's debit card purchases is provided.

He has made a $778.19 starting deposit.

The disparity between the old balance and the payment will be the new balance in the account.

He spent $92.19 on the bat.

a = $778.19 - 92.19 = $686

He bought gas for $51.00.

b = $686 - $51 = $635

He deposited $400.

c = $635 + $400 = $1035

He paid $25 for gas.

d = $1035 - $25 = $1010

Dinner at Spooner's on the shore cost him $71.12.

e = $1010 - $71.12 = $938.88

He spent $491.51 on books for the entire term.

f = $938.88 - $491.51 = $447.37

The missing records are thus discovered.

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Please help! 30 points promised! please also show work as I am confuzzled

Answers

The solution to the equation is 3[tex]z^{2}[/tex] - [tex]z^{3}[/tex] = 5z + 1 and it has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers can be described by the four fundamental operations, sometimes known as "arithmetic operations." Operations like quotient, product, sum, and difference come before operations like division, multiplication, addition, and subtraction in mathematics.

We are given an equation as:

[tex]\frac{z+1}{z-1}[/tex] - [tex]\frac{z}{3}[/tex] = [tex]\frac{2}{z-1}[/tex]

Now, we will simplify the equation first.

⇒ [tex]\frac{z+1}{z-1}[/tex] - [tex]\frac{z}{3}[/tex] = [tex]\frac{2}{z-1}[/tex]

⇒ [tex]\frac{3(z+1) - z(z-1)}{3 (z-1)}[/tex] = [tex]\frac{2}{z-1}[/tex]

Now, on cross multiplying we get,

⇒[3 (z + 1) - z (z - 1)] * (z - 1)  = 2 (3z - 1)

⇒[3z + 3 - [tex]z^{2}[/tex] - z] * (z - 1)  = 6z - 2

⇒3[tex]z^{2}[/tex] + 3z - [tex]z^{3}[/tex] - [tex]z^{2}[/tex] - 3z - 3 + [tex]z^{2}[/tex] + z = 6z - 2

⇒3[tex]z^{2}[/tex] - [tex]z^{3}[/tex] - 3 + z = 6z - 2

⇒3[tex]z^{2}[/tex] - [tex]z^{3}[/tex] = 5z + 1

Hence, the required solution has been obtained.

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6.1 true or false: points that minimize a nonlinear function are inherently less accu- rately determined than points for which a non- linear function has a zero value.

Answers

The given statement, points that minimize a nonlinear function are inherently less accurately determined than points for which a nonlinear function has a zero value is FALSE.

What is a nonlinear function?

In mathematics, a nonlinear function is a function that is not linear, i.e. a function whose graph is not a straight line. Simplest non-linear functions are quadratic function, exponential function and logarithmic functions. Nonlinear functions do not follow the superposition principle, which is fundamental to linear systems, which states that if the input is scaled by any factor, then the output will also be scaled by that factor.

Points that minimize a nonlinear function are inherently less accurately determined than points for which a nonlinear function has a zero value. The above statement is false because the points that minimize a nonlinear function can be determined more accurately than the points where the nonlinear function has zero value.

Also, there is no such rule that the points that minimize a nonlinear function are less accurate than points for which a nonlinear function has a zero value.

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a restaurant wants to know if its customers like its new menu. in surveys 100 randomly selected customers over one week. what is the population in this study?

Answers

In terms of using specific terms in your answer, you should incorporate any keywords or phrases from the student's question that are relevant to your response.

For example, in response to the question "a restaurant wants to know if its customers like its new menu. in surveys 100 randomly selected customers over one week. what is the population in this study?" you might write:"

In this study, the population refers to the entire group of customers who might potentially like or dislike the restaurant's new menu.

While the study only surveyed 100 randomly selected customers over one week, the population could include all customers who visited the restaurant during that time period or even a larger group of potential customers who have not yet visited the restaurant."

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Question 1.
in exploration 5.1.1 question 2, you identified the y-intercept as (0, a) and the
horizontal asymptote as y= b, where
a=
b=

Answers

a=b, The curve approaches the line y=a as x approaches infinity or negative infinity.

since the y-intercept is the point where the curve intersects the y-axis, i.e., x=0.

Since we have (0, a) as our y-intercept, then a=b, where a and b are constants.

The y-intercept, as indicated in the question, is (0, a) meaning that for the function f(x), when x=0, then f(x) = a.

The horizontal asymptote of a function is a horizontal line that the graph approaches as x approaches infinity or

negative infinity.

If the horizontal asymptote is y=b, it means that the value of y approaches b as x approaches infinity or negative infinity.

Therefore, since a=b, the curve approaches the line y=a as x approaches infinity or negative infinity.

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If the coefficient of x4 in the expansion of (2-3px) (4x4+ 5x³-x) is 38, find the value of p.​

Answers

The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

What is Binomial theorem?

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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2x10x10x10x10x+4x10x10x10x+8x10x10

Answers

I think there might be a typo in the expression you provided. However, assuming you meant to write:

2x10x10x10x10 + 4x10x10x10x + 8x10x10

We can simplify this expression by performing the multiplications and additions in the correct order. Using the order of operations (PEMDAS), we first perform the multiplications from left to right, and then add the resulting terms.

Multiplying the terms in the first expression, we get:

2 x 10 x 10 x 10 x 10 = 200,000

Multiplying the terms in the second expression, we get:

4 x 10 x 10 x 10 = 40,000

Multiplying the terms in the third expression, we get:

8 x 10 x 10 = 800

Adding the three resulting terms, we get:

200,000 + 40,000 + 800 = 240,800

Therefore, the simplified value of the expression 2x10x10x10x10x+4x10x10x10x+8x10x10 is 240,800.

which statements are reasons why survey results might not help accurately predict actual results from the population?

Answers

Even if the sample is representative and the survey questions are well-crafted, there is a possibility that the findings will differ from those of the actual population due to sampling error.

Which are the statement why survey results might not help accurately predict actual results?

Sampling bias: The survey sample may not be representative of the community, resulting in an imbalance between the representation of some groups in the sample. As a result, there may be inaccuracies in the findings because the sample may not fairly represent the population's diversity. There are a number of factors why survey results might not be a reliable indicator of what the population will actually do. The following claims may help to clarify this:

Non-response bias: A biassed sample may result if some members of the sample decide not to take part in the poll. If the non-response rate is high among specific groups, such as minority groups or low-income households, this may be a particular issue.

Social preference bias: Respondents may be influenced to provide answers that make them appear more desirable.Instead of being fully honest, I'll be polite. As a result, socially acceptable behaviour may be overreported while socially unacceptable behaviour may be underreported.

topic wording: How a topic is worded can have an impact on the responses it receives. It's possible that ambiguous or deceptive questions don't accurately represent the respondent's true viewpoint.

Response options: How respondents react to a survey can also be influenced by the response options that are offered. Respondents might feel under pressure to select a response that doesn't accurately represent their opinions, for instance, if the choices are few or don't include a "neutral" option.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x - 5 < 10 - x

-6x + 15 < 10 - 5x

Therefore, the first and second options are the correct representations.

For the number line, we first need to solve the inequality for x:

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

-x < -5

x > 5

Using this solution, we can plot the open circle at 5 and the bold line pointing to the right on a number line from -3 to 3 in increments of 1. This matches the first option provided. The second option represents a number line with an open circle at -5 and a bold line pointing to the left, which does not correctly represent the solution to the inequality.

i need help pleaseeeeeeeeee

Answers

According the given question the slοpe is 3/4.

What is slοpe?

Calculated using the slοpe οf a line fοrmula, the ratiο οf "vertical change" tο "hοrizοntal change" between twο different lοcatiοns οn a line is determined. The difference between the line's y and x cοοrdinate changes is knοwn as the slοpe οf the line.Any twο distinct places alοng the line can be used tο determine the slοpe οf any line.

Here the accοrding to the table , let us take any twο coordinates are,

[tex](x_1,y_1)=(4,6) , (x_2,y_2)=(8,3)[/tex]

Nοw using slope formula then,

=> Slοpe m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> Slοpe m = [tex]\frac{6-3}{8-4}=\frac{3}{4}[/tex]

Hence the slοpe οf the linear function is 3/4.

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DeAndre’s older sister saved the same amount of money each month for `4` months.



If she has saved `\$536` altogether, how much money did she save each month?

Answers

Answer:

$134 per month

Step-by- step explanation:

Simply divide 536 by 4, and you get 134.

Can a non-complex equation have 2 horizontal asymptotes? Excluding piecewise equations, o course. Also, what about 2 vertical asymptotes? And using a complex number as x could an equation pass the vertical asymptote? What about the horizontal one?

Answers

No, a non-complex equation cannot have two horizontal asymptotes. A horizontal asymptote is a line that a function approaches as the input variable increases or decreases without bounds.

Since a non-complex equation represents a single function, it cannot have more than one horizontal asymptote. A non-complex equation cannot have two vertical asymptotes. A vertical asymptote is a vertical line that a function approaches as the input variable approaches a certain value. Again, since a non-complex equation represents a single function, it cannot have more than one vertical asymptote. If a complex number is used as the input variable in an equation, the equation can pass through a vertical asymptote since the notion of "approaching" a point does not apply to complex numbers. However, the concept of a horizontal asymptote does not apply to complex numbers since there is no notion of "increasing" or "decreasing" in the complex plane.

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the amount of distilled water dispensed by a machine is normally distributed with mean 64 oz and standard deviation 0.78 oz. what container size c will ensure that overflow occurs only 0.5% of the time?

Answers

A container size of at least 66.03 ounces will ensure that overflow occurs only 0.5% of the time.

To make sure overflow occurs only 0.5% of the time, we would have to find the container of size "c" such that the amount of distilled water dispensed by the machine does not exceed c with a probability of 0.995 (or 1-0.005).

Let X be the amount of distilled water dispensed by the machine. Then X ~ N(64, 0.78^2).

We want to find c such that P(X ≤ c) = 0.995.

We can standardize X to a standard normal distribution:

Z = (X - μ) / σ

Z = (c - 64) / 0.78

Then we can find the value of Z such that P(Z ≤ z) = 0.995, where z is the z-score associated with the 0.995 percentile of the standard normal distribution.

Using a standard normal distribution table or a calculator, we can find that z ≈ 2.576.

Therefore, 2.576 = (c - 64) / 0.78. Solving for c, we get:

c = 64 + 2.576 * 0.78 ≈ 66.03

So a container size of at least 66.03 ounces will ensure that overflow occurs only 0.5% of the time.

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