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nekit [7.7K]
3 years ago
11

Anyone know the answer to this question???

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

They want you to write the number in index form.

The number is 5N^2, where N = 3 x 5^2 x x^3

So:

5N^2 = 5 x (3 x 5^2 x x^3)^2

         = 5 x (3^2 x 5^4 x x^6)

         = 3^2 x 5^5 x x^6

or a bit neater looking:  3² ₓ 5⁵ ₓ x⁶

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A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5
EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

<u>Definition of variables</u>

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

=  (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

=  (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

#SPJ1

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