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2 years ago

Write as an algebraic expression and then simplify if possible:

Mathematics

1 answer:

Otrada [13]2 years ago

8 0

Answer:

2n-7

Step-by-step explanation:

"7 less than twice a number n"

is the same as

"7 less than (twice a number n)".

I put ( ) around that one part because I want you to focus on that part first.

Twice a number n means 2 times that number n or 2n.

So now we have

"7 less than 2n".

This means 2n-7.

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Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

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2) Left knee unsuccessful and right knee successful (X=1).

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3) Right knee unsuccessful and left knee successful (X=1).

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4) Both surgeries are unsuccessful (X=0).

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Then, the mean can be calculated as the expected value:

$M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57$

The variance can be calculated as:

$V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111$

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