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marysya [2.9K]
3 years ago
11

Math question down below

Mathematics
2 answers:
TiliK225 [7]3 years ago
6 0
Your answer is 500% Here's why: 2. We assume, that x is the value we are looking for.  If 100% equals 45, so we can write it down as 100%=45. 
 We know, that x% equals 225 of the output value, so we can write it down as x%=225. 
Now we have two simple equations:
1) 100%=45
2) x%=225
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45/225
 Now we just have to solve the simple equation, and we will get the solution we are looking for.
 Solution for 225 is what percent of 45

100%/x%=45/225
(100/x)*x=(45/225)*x       - we multiply both sides of the equation by x
100=0.2*x       - we divide both sides of the equation by (0.2) to get x
100/0.2=x 
500=x 
x=500

now we have: 
225 is 500% of 45 That's your answer. Hope I helped! 

dezoksy [38]3 years ago
5 0
Set up a proportion

45/225= x/100

45/225 simplifies to 1/5.

1/5= x/100
5*20=100
1*20=20=x

Final answer: 20%
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Step-by-step explanation:

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Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

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3 years ago
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