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densk [106]
3 years ago
11

Enter the appropriate value to answer the question or solve the problem.

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

x = 40 degrees

Step-by-step explanation:

Triangle angle sum is 180 so 180 = 65 + 75 + x.

180 = 65 + 75 + x

180 = 140 + x

40 = x

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Answer true or false to each statement concerning a confidence interval for a population mean. Give reasons for your answers. a.
Rainbow [258]

Answer:

(a) True

(b) True

(c) False

(d) True

Step-by-step explanation:

The general form of a confidence interval is:

CI=SS\pm MOE

Here,

SS = Sample statistic

MOE = margin of error

The formula to compute the MOE is:

MOE=\frac{length}{2}

Here, length implies the length of the confidence interval.

(a)

The statement is:

"The length of a confidence interval can be determined if you know only the margin of error."

The length of the confidence interval is twice the MOE.

So, yes one can compute the length of the confidence interval if they know the value if MOE.

The statement is True.

(b)

The statement is:

"The margin of error can be determined if you know only the length of the confidence interval."

The margin of error of the confidence interval is half the length.

So, yes one can compute the MOE if they know the length of the confidence interval.

The statement is True.

(c)

The statement is:

"The confidence interval can be obtained if you know only the margin of error."

The confidence interval formula is:

CI=SS\pm MOE

So, if we only knew the value of MOE we cannot compute the confidence interval. We will also need the value of the sample statistic.

The statement is False.

(d)

The statement is:

"The confidence interval can be obtained if you know only the margin of error and the sample mean"

The confidence interval formula is:

CI=SS\pm MOE

So, if we knew the value of MOE and the sample statistic we can compute the confidence interval.

The statement is True.

5 0
3 years ago
Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the p
Sphinxa [80]

The possible base and height of a second triangle are 12 and 7, respectively

<h3>How to determine the possible base and height of a second triangle?</h3>

An inverse variation is represented as:

Base * Height = k

Where k is the constant of variation.

In this case, k is the area

So, we have:

Base * Height  = Area

For the first triangle, we have:

14 * 6 = Area

Evaluate

Area = 84

Substitute Area = 84 in Base * Height  = Area

Base * Height  = 84

Express 84 as the product of two numbers

Base * Height  = 12 * 7

By comparison;

Base =12 and Height = 7

Hence, the possible base and height of a second triangle are 12 and 7, respectively

Read more about variation at:

brainly.com/question/6499629

#SPJ1

4 0
2 years ago
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