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3 years ago

A plastic lime juice container in the shape of a sphere has a diameter of 4 cm.

1 answer:

3 0

Vsphere=(4/3)pir³

d/2=r
given
d=4
d/2=r=4/2=2

Vsphere=(4/3)pi2³
Vsphere=(4/3)pi8
Vsphere=32/3pi
using pi=3.14
Vsphere=33.493333333333 cm³
round
Vsphere=33 cm³

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Howard picks apples at an orchard. He earns $4.35 for each hour he works and $2.20 for each bushel he picks. His goal is to earn

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I got about 15.8 bushels of apples

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3 years ago

(x^7/8) (x^1/4)<br> Simplify the expression using the properties of exponents

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Answer:

x^9/8

Step-by-step explanation:

The exponent property that you can use here is that when multiplying the two exponents, you add their exponents

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3 years ago

An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

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Answer:

a) A sample size of 5615 is needed.

b) 0.012

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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.

This is n for which M = 0.015.

We have that $\pi = 0.2$

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

$0.015 = 2.81\sqrt{\frac{0.2*0.8}{n}}$

$0.015\sqrt{n} = 2.81\sqrt{0.2*0.8}$

$\sqrt{n} = \frac{2.81\sqrt{0.2*0.8}}{0.015}$

$(\sqrt{n})^{2} = (\frac{2.81\sqrt{0.2*0.8}}{0.015})^{2}$

$n = 5615$

A sample size of 5615 is needed.

(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?

Now $\pi = 0.12, n = 5615$ .

We have to find M.

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

$M = 2.81\sqrt{\frac{0.12*0.88}{5615}}$

$M = 0.012$

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3 years ago

Find the slope of the line containing the points (2,7) and (-5, -4).

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Answer:

Step-by-step explanation:

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2 years ago

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diamong [38]

Percent change=100 times change/original

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percent change=100 times 5.5/90
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3 years ago