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shutvik [7]
3 years ago
5

PLEASE HELP!! I WILL BRAINLIEST

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

81.8%

Step-by-step explanation:

Mean = \mu = 40

Standard deviation = \sigma = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

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

Substitute the values

z = \frac{x-40}{5}

Now for P(35<x<50)

Substitute x = 35

z = \frac{35-40}{5}

z =-1

Substitute x = 50

z = \frac{50-40}{5}

z =2

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= 0.818 \times 100

=81.8%

Hence  81.8% percent of the numbers fall between 35 and 50

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