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ELEN [110]
3 years ago
9

If 40% of a given number is 8, then what is 15% of the given number?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0
40% of a given number is 8...
0.40x = 8
x = 8 / 0.40
x = 20....so 20 is the given number

what is 15% of 20...
0.15(20) = 3 <==== ur answer
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Answer:

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Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = 3 inches

We are given that the distribution of heights of American men is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(height is between 61 and 79 inches)

P(61 \leq x \leq 79) = P(\displaystyle\frac{61 - 70}{3} \leq z \leq \displaystyle\frac{79-70}{3}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.9987 - 0.0014 = 0.9973= 99.73\%

P(61 \leq x \leq 79) = 99.73\%

0.9973  is the percentage of American men whose height is between 61 and 79 inches.

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