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Aleksandr-060686 [28]
3 years ago
9

Evaluate the following expression. (-3)-2

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0
Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.
In this case, -3 and -2 are integers that are being added.
if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change
thus, (-3)-2 = -5
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Answer:

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Step-by-step explanation:

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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
butalik [34]

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

7 0
3 years ago
1+1=3 proof<br> needs step by step explanation
Vsevolod [243]

Answer:

1+1=3, See explenation

Step-by-step explanation:

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3 0
3 years ago
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inessss [21]

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

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5 0
3 years ago
Read 2 more answers
How to graph this problem ?
Ymorist [56]
Doesn't it become like a reflection? For example instead of (3,1) it'll be (-3,-1) ?
7 0
3 years ago
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