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vlada-n [284]
3 years ago
7

If a normal distribution has a mean of 132 and a standard devistion of 20, what is the value that has a z score of 3.6

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

z = (x - μ)/σ

Substituting given values, you have

3.6 = (x - 132)/20

(20)(3.6) = x - 132 . . . . multiply by 20

72 + 132 = x . . . . . . . . .add 132

204 = x


The value that has a z-score of 3.6 is 204.

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\bf \begin{array}{lccclll}
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&------&------&------\\
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\textit{second brand}&y&0.14&0.14y\\
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\bf \begin{cases}
x+y=230\implies \boxed{y}=230-x\\
0.09x+0.14y=29.9\\
----------\\
0.09x+0.14\left(\boxed{230-x}  \right)=29.9
\end{cases}
\\\\\\
0.09x+32.2-0.14x=29.9\implies -0.05x=-2.3\implies x=\cfrac{-2.3}{-0.05}
\\\\\\
x=46

how many milliliters will it be for the second brand?  well, y = 230 - x.
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