A student believes that a certain number cube is unfair and is more likely to land with a six facing up. The student
rolls the number cube 15 times, and finds that the cube lands with a six facing up five times. The student wants to
construct a 99% confidence interval for the proportion of times this number cube lands with a six facing up. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
O No, the randomness condition is not met.
No, the Large Counts Condition is not met.

The net profit margin for this shirt is 55%.

What is net profit?

Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.

Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.

It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.

Profitability is a measure of efficiency and is useful in determining the success or failure of a business.

Given,

Revenue = $12

Cost of goods sold = $3

Operating expenses = 20% of revenue = 20/100 x $12 = $2.4

We know,

Net Profit = Revenue - Cost of goods sold - Operating expenses

\(Net \: Profit = 12 - 3 - 2.4\)

Hence, Net Profit = $6.6

Again,

Net Profit Margin = (Net Profit / Revenue) x 100%

Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)

SO, Net Profit Margin = 55%

Therefore, the net profit margin for this shirt is 55%.

So, it is clear that choice A is correct.

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The volumes of the cone and cylinder are 1256m³ and 5652m³

For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.

Given here dimensions as the height of the cone = 12m and radius of its circular base = 10m and the height of the cylinder = 18m

thus  Volume of the cone = 1⁄3πr²h

                                      = 1/3×3.14×100×12

                                      = 1256m³

And the volume of the cylinder = πr²h

                                                    = 3.14×100×18

                                                     = 5652m³

Therefore the volumes of the cone and cylinder are 1256m³ and 5652m³

Hence,  the volume of the solid is 1256+5652 =6908m³

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Answer:

Step-by-step explanation:

Now, this can be tricky.

But, we can use a calculator.

According to the calculator, the answer was 0.7071.

That means 0.7071 is the answer.

This image is optional. Use it for hints.

Answer:

s=2

Step-by-step explanation:

3x2=6

Answer:

s = 2

Step-by-step explanation:

6=3s

It means 6 = 3 *(times) s

you have to divide 6 by 3 since 3 is multiplying you have to do the opposite of multiplication.

6/3 = s

2 = s

Answer:

y=-70

Step-by-step explanation:

10.4/10y=-28.10

4y=-280

y=-70

Answer:

answer is y=2x+3? for the question

Answer:

800

Step-by-step explanation:

Answer:

C.  800

Step-by-step explanation:

p = 1.50n - 500

700 = 1.50n - 500

1200 = 1.50n

n = 800

Answer:

divide both sides by 2

Step-by-step explanation:

divide both sides by 2 then simplify and get x = 9 over 32

Answer:

Transposing square to rhs,it becomes root

Step-by-step explanation:

\(x^{2} =9/16\)

\(x=\)\(\sqrt{9}/\sqrt{16\\\) (transposing square to rhs,it becomes root)

\(x= 3/4\)

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If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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Answer:I'm pretty sure its D

Step-by-step explanation:

Answer:

C.120

Step-by-step explanation:

5×4×3×2×1=120 hope its right

Answer: $627.93

Step-by-step explanation:

If tax is 6.25%

6.25% of $590.99= $36.94

Price + tax = total cost

Total cost = $590.99 + $36.94 = $627.93

X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

What is a Binomial Distribution?

The number of successes and failures in a series of n (a finite value) independent trials or experiments is represented by a binomial distribution.

Given that the producer of electronics is aware that 2% of computer processors are faulty, and

The random variable X represents the number of processors it takes to find a bad processor.

X does not constitute a binomial variable in this situation.

In the example above, the amount of failures (processors) is being counted up until the initial success (a malfunctioning processor) is attained.

X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

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Answer:

40 feet

Step-by-step explanation:

-10 -30

The diagram shows statements to prove that both triangles are congruent.

Hence;

Step 1 showed two sides that are congruent for both triangles

Step 2 showed two angles that are congruent

Step 3 showed two sides that are congruent

Therefore, the triangles are congruent by the side-angle-side theorem

Answer: 360

Step-by-step explanation:

done

Answer:

The probability Mike Fishman completed the assignments is 0.8780.

Step-by-step explanation:

Note: The question is not complete but the complete one is given as follows:

Dr. Barton has been teaching basic statistics for many years. He knows that 80 percent of the students will complete the assigned problems. He has also determined that among those who do complete the assignment, 90 percent will pass the course. Among these students who do not complete their assignments, 50 percent will pass. Mike Fishman took statistics last semester from Dr. Barton and received a passing grade. What is the probability he completed the assignments?

The following are now the explanation to the answer:

Let A denote the event that the assignment will be completed by the students, B denote the event that the assignment will not be completed by the students, and C denote the event that the test will be passed; the probability that Mike Fishman completed the assignments can be estimated using the following formula:

P(A|C) = P(A)P(C|A) / [P(A)P(C|A) + P(B)P(C|B)] .................. (1)

Where,

P(A|C) = The probability that Mike Fishman completed the assignments = ?

P(A) = Percentage of the students who will complete the assigned problems = 80%, or 0.80

P(B) =  Percentage of the students who will not complete the assigned problems = 100% - 80% = 20%, or 0.20

P(C|A) = Percentage of students who do complete the assignment and pass the course = 90%, or 0.90

P(C|B) = Percentage of students who do not complete the assignment but pass the course = 50%, or 0.50

Substituting all the values into equation (1), we have:

P(A|C) = 0.80 * 0.90 / [(0.80 * 0.90) + (0.20 * 0.50)]

P(A|C) = 0.72 / (0.72 + 0.10)

P(A|C) = 0.72 / 0.82

P(A|C) = 0.8780

Therefore, the probability he completed the assignments is 0.8780.

The integer representation of Death valley is - 90 meters

Position of sea level = 0

15 metres becomes sea level = 0 - 15 = - 15 meters

Therefore,

Elevation of Death Valley = 6(-15) = - 90 meters

Therefore, the elevation of Death Valley is - 90 meters

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Answer:

20 buses

Step-by-step explanation:

Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.

To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.

5 * 4 = 20

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The critical values for the t-test depend on the sample size, significance level, and whether the test is one-tailed or two-tailed. For a left-tailed test with n=12 and α=0.01, the critical value is -2.680,for a right-tailed test with n=16 and α=0.05, the critical value is 1.746.

a. For a left-tailed t-test with n = 12 and α = 0.01, the critical value is -2.718.

b. For a right-tailed t-test with n = 16 and α = 0.05, the critical value is 1.746.

c. For a two-tailed t-test with n = 7 and α = 0.10, the critical values are -1.895 (for the left tail) and 1.895 (for the right tail).

d. For a right-tailed t-test with n = 11 and α = 0.025, the critical value is 2.718.

e. For a two-tailed t-test with n = 10 and α = 0.05, the critical values are -2.306 (for the left tail) and 2.306 (for the right tail).

Note: These critical values were calculated using a t-distribution table or a statistical software.

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Answer:

The elevator is two floors below the ground level. The integer to represent this is -2.

Step-by-step explanation:

If Jim has to run faster than 80% of adult then he need to run with speed 5.89 mph.

A Normal Distribution is defined as the distribution where the random variable values are distributed symmetrically.

In the Question it is given  that

mean (μ) = 5.3                                                   ...(i)

standard deviation (σ) = 0.7                             ...(ii)

and Jim runs faster than 80% of adult men,

and the group follows a normal distribution.

For Normal Distribution

Jim runs faster than 80% of adult men, is represented by

P(x<z)=0.80

z=φ(0.80)

z=0.842    ( from z table )                                  ...(iii)

we know that

\(z=\frac{x-\mu}{\sigma}\)                                         ...(iv)

Substituting the values of (i),(ii) and (iii)  in (iv) we get

\(0.842=\frac{x-5.3}{0.7} \\ \\ x-5.3=0.842*0.7\\ \\ x-5.3=0.5894\)

\(x=0.5894+5.3\\x=5.8894\)

x≅5.89

Therefore , if Jim has to run faster than 80% of adult then he need to run with speed 5.89 mph.

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The customer still owes $25.01.

What is Total cost?

Average total cost is referred to as the sum total of all production costs divided by the total quantity of output.

If the smaller deposit is x, then the larger deposit is 3.5x. So the total amount deposited is:

x + 3.5x = 4.5x

we'll have to leave them in terms of x for now:

New balance = old balance + deposits - withdrawal

New balance = -$126.89 + 4.5x - $25

Simplifying:

New balance = -$151.89 + 4.5x

-$151.89 + 4.5x = 0

4.5x = $151.89

x ≈ $33.75

So the smaller deposit was approximately $33.75, and the larger deposit was 3.5 times that amount, or approximately $118.13.

Now we can find the new balance:

New balance = -$151.89 + $33.75 + $118.13 - $25

New balance = -$25.01

Therefore, the customer still owes $25.01.

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Answer:

234

Step-by-step explanation: