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Elina [12.6K]
4 years ago
15

Is 71 a prime number?

Mathematics
1 answer:
olga_2 [115]4 years ago
8 0
Yes 71 is a prime number.
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Sierra is buying treats for her birthday party. she can spend no more that $70 on cookies that cost $7.50 per box . How many box
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Americans spend an average of 4 hours per day online.If the standard deviation is 26 minutes, find the range in whitch at least
Mamont248 [21]

Answer:

The range in which at least 88.89% of the data will lie is (162,318).

Step-by-step explanation:

Given:

Average time spend online, \bar x = 4 hrs = 240 mins

Standard deviation, s = 26 mins

We have to find the range in which at least 88.89% of the data will lie by using Chebyshev's theorem :

Formula :

Lower range = \bar x-ks

Higher range = \bar x +ks

Now we have to find k values.

We know that the percentage of the data that lies within 'k' standard deviation is at least,1-1/k^2 and k > 1.

⇒ 88.89\% = 0.8889

⇒ 1-\frac{1}{k^2} = 0.8889

⇒ 1-0.8889=\frac{1}{k^2}

⇒ 0.1111=\frac{1}{k^2}

⇒ \frac{1}{0.1111} =k^2

⇒ \sqrt{\frac{1}{0.1111} } =k

⇒ 3=k

Plugging the value of k=3 in the formula above.

The range is \bar x-ks,\bar x+ks .

⇒ 240-3(26), 240+3(26)

⇒ 240-78,240+78

⇒ 162,318

So,

The range in which at least 88.89% of the data will lie is (162,318).

6 0
4 years ago
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