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Gemiola [76]
3 years ago
10

Suppose M varies directly with S. If M is 900 when S is 500, which equation relates M to S

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

Answer: M  = ⁹/₅S

Step-by-step explanation:

 M  ∞ S -------------------------------- 1

M  =  KS ------------------------------ 2

K is a constant and need to be calculated

substitute for M and S in 2 to find K

900 = K500

K      =  ⁹⁰⁰/₅₀₀

       = ⁹/₅

Therefore , the equation that connect / relates M to S will be

M   =  KS

M   = ⁹/₅S

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Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

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