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siniylev [52]
3 years ago
6

The mean of the data set is 40 and one standard deviation is 5. About what percent of the numbers fall between 35 and 50?

Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

The correct option is D. 81.8%

Step-by-step explanation:

Mean of the data set is given to be 40

⇒ μ = 40

Standard deviation of the data set is given to be 5

⇒ σ = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

\implies z =\frac{x-\mu}{\sigma}

Now for P(35 < x < 50) :

Substitute x = 35 ⇒ z = -1

Substitute x = 50 ⇒ z = 2

So, P(-1 < z < 2) = P(z < 2) - P(z < -1)

⇒ P(-1 < z < 2) = 0.9772 - 0.1587

⇒ P(-1 < z < 2) = 0.8185

⇒ P(-1 < z < 2) = 81.8%

Therefore, 81.8% percent of the numbers fall between 35 and 50

Hence, The correct option is D. 81.8%

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First I multiplied.

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Then I convert my answer to British pounds.

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Have a blessed day and hope this helps.

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3 years ago
In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20
sasho [114]

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7 0
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Lyrx [107]

Answer:

17.8 D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
That is the correct answer
Arlecino [84]
3 and 4/8 for question number one
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