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saveliy_v [14]
3 years ago
14

The lowest recorded temperature in Peru was -13 2/5 and the highest recorded temp was 120 2/3 . What is the difference between t

he highest and lowest temperature
Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
120 2/3 - (-13 2/5)

= 120 2/3 + 13 2/5

= (120+13) (2/3 + 2/5)

= 133 + (10/15 + 6/15)

= 133 + 16/15

= 133 + 1 1/15

= 134 1/15
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Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

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2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

n = 100.85

Rounding up

We need a sample size of at least 101

8 0
3 years ago
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proof
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7 0
3 years ago
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