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3 years ago

37. SHORT RESPONSE To the nearest square

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Answer:

3299 mm²

Step-by-step explanation:

A=πr(r+√(h²+r²))

h = 20

r = 21

A = π(21)(21 + √(20²+21²) = 3298.672286

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An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of

rewona [7]

Answer:

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.

333 - 257 = 76 have spills.

This means that $n = 333, \pi = \frac{76}{333} = 0.228$

80% confidence level

So $\alpha = 0.2$ , z is the value of Z that has a pvalue of $1 - \frac{0.2}{2} = 0.9$ , so $Z = 1.28$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 - 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.199$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 + 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.257$

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

6 0

3 years ago

I neeeeeeeeeeed help

Musya8 [376]

He gave away 14 bouncy balls

3 0

3 years ago

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

iVinArrow [24]

Answer:

$m = 3b+6$

Step-by-step explanation:

Given

$f(x)=3x^2 - 9$

Required

The average rate over $[2,b]$

Average rate (m) is calculated using:

$m = \frac{f(b) - f(a)}{b - a}$

Where

$[a,b] = [2,b]$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

Calculate f(b) and f(2)

$f(x)=3x^2 - 9$

$f(b)=3b^2 - 9$

$f(2)=3*2^2 - 9 = 12 - 9 = 3$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

$m = \frac{3b^2 - 9 - 3}{b - 2}$

$m = \frac{3b^2 - 12}{b - 2}$

Expand the numerator

$m = \frac{3b^2 + 6b-6b-12}{b - 2}$

Factorize

$m = \frac{b(3b + 6)-2(3b+6)}{b - 2}$

Factor out 3b + 6

$m = \frac{(b -2)(3b+6)}{b - 2}$

Cancel out b - 2

$m = 3b+6$

4 0

3 years ago

Ahmed and his family has dinner at a restaurant and the cost of their meal is BD 28.

adelina 88 [10]

Answer:

Total bill will be BD 33.600

Step-by-step explanation:

28 multiplied by 20% = 5.6

Add 5.60 to the cost

28.00 + 5.60 = 33.600

hope this helps and is right. p.s. i really need brainliest :)

7 0

3 years ago

If x and y are adjacent angles, then x and y are ______ acute.

Anastasy [175]

Answer:

sometimes

Step-by-step explanation:

adjacent angles are two angles that share a vertex, common side/ray between them, and do not overlap.

only supplementary adjacent angles always add up to 180 degrees,

both x or y could be any angle, as long as they're sharing a common side and vertex.

5 0

2 years ago