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3 years ago

21 & 22 plzzzzzzz due Nov.2

Mathematics

1 answer:

Neporo4naja [7]3 years ago

5 0

21.
5.25 x 4 = 21 inches Goran needs.
11 x 21 = 231 inches Natalie needs.
65.5 x 4 = 262 inches of total wood they have.
23 + 231 = 254 inches of wood used by both Goran and Natalie
262 - 254 = 8 inches of wood left over.
So the answer for this would be D because 8 inches is not an answer given.

22.
6 x 12.6 = 75.6 total ounces of beans.
75.6 x .7 = 52.92 ounces of beans used in the stew.
75.6 - 52.92 = 22.68 ounces, so the answer for this would be D.
Good Luck!

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And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

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First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

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And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

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And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

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