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3 years ago

Use the circle below to solve for each questions.

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer:

its area us 153.94

its diameter is 14cm

its radius is 7cm

its circumference is 43.98

Step-by-step explanation:

area of circle means πr square

diameter means 2r

radius already given

circumference means. 2πr

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3 years ago

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3 years ago

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As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

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4 years ago

Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1).

juin [17]

Answer:

C) 6 units

E) 8 units

Step-by-step explanation:

Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1). Which of the following numbers are dimensions of the rectangle? Select each correct answer. A. 4 units B. 5 units C. 6 units D. 7 units E. 8 units F. 9 units. help, please!.

When given vertices for a geometric shapes we find the lengths of the side by using the formula:

When(x1, y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A= (−6, 5),B = (2, 5), C = (2, –1), and D = (–6, –1).

For AB

A= (−6, 5),B = (2, 5),

= √(2 -(-6)² + (5 - 5)²

= √8² + 0

= √64

= 8 units

For BC

B = (2, 5), C = (2, –1),.

√(2 - 2)² +(-1 - 5)²

= √0 + -6²

= √36

= 6 units

For CD

C = (2, –1), and D = (–6, –1).

= √(-6 -2)² + (-1 -(-1))²

= √-8² + 0²

= √64

= 8 units

For AD

A= (−6, 5), D = (–6, –1).

= √(-6 -(-6))² + (-1 - 5)²

= √0² + -6²

= √36

= 6 units

Therefore, the following numbers that are dimensions of the rectangle is

C) 6 units

E) 8 units

3 0

3 years ago