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ludmilkaskok [199]
3 years ago
7

On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes.

How often will it take the factory more than 27 minutes to manufacture a pair of running shoes?
Mathematics
1 answer:
algol133 years ago
7 0

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

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

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

Z=\dfrac{27-21 }{3 } = 2

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

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3 years ago
Solve for n: c= 6n−5g /11t
qwelly [4]

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Step-by-step explanation:

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c=\frac{(6n)(11t)-5g}{11t}\\\\c=\frac{66nt-5g}{11t}

Multiply  11t to both sides:

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Add 5g to both sides:

11tc+5g=66nt-5g+5g\\\\11tc+5g=66nt

And finally divide both sides by 66t:

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What is the poinet-slope form of the equation for the line in the graph?​
Ne4ueva [31]

Answer:

y -5 = \frac{9}{13}(x - 7)

Step-by-step explanation:

Given :

Two points are given in graph (-6, -4) and {7, 5).

The point-slope form of the equation of a straight line is:

y -y_{1} = m(x - x_{1})------------(1)

Let (x_{1}, y_{1})=(7,5) and (x_{2}, y_{2})=(-6,-4)

The slope of the line m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

Put all known value in above equation.

m=\frac{-4- 5}{-6- 7}

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y -5 = \frac{9}{13}(x - 7)

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2 years ago
10 less than a number is the same number doubled. What is the number?
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119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun
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