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Alina [70]
3 years ago
9

R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0
<h2><em><u>Solution</u></em> : </h2>

let the last number be x

we know,

\boxed{mean =  \frac{sum \:  \: of \:  \: all \:  \: observations}{number \:  \: of \:  \: observations} }

So,

\hookrightarrow \: 8 =  \dfrac{22 + x}{4}

\hookrightarrow \: 8 \times 4 = 22 + x

\hookrightarrow \: 32 = 22 + x

\hookrightarrow \: x = 32 - 22

\hookrightarrow \: x = 10

therefore, the last number is 10.

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Answer:

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Step-by-step explanation:

As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as

P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]

P(64<X<66.5)=P(-2<Z<-1)

P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)

P(64<X<66.5)=0.4772-0.3413=0.1359

Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.

If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.

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