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zheka24 [161]
3 years ago
6

What is the result of gaining 10 pound then losing 20

Mathematics
1 answer:
kiruha [24]3 years ago
3 0

Answer:

-10 pounds or 10 pounds loss

Step-by-step explanation:

you subreact 10-20 and you get -10

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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard
Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem:

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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, a large sample size 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 = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

Z = \frac{30732 - 30393}{472.81}

Z = 0.72

Z = 0.72 has a pvalue of 0.7642.

X = 30054

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

Z = \frac{30054 - 30393}{472.81}

Z = -0.72

Z = -0.72 has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0
3 years ago
I am in need of help :) please and thank you :):
nika2105 [10]
It’s the second answer
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2 years ago
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Any easier way to solve this than plugging each x value in?
Evgesh-ka [11]
Solving The Problem From Eaxh Side Is Easier
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3 years ago
Write an equivalent expression for 2 x 2 x 2 x 2 x 2 x 2
AVprozaik [17]

Answer:

2 ^ 6

Step-by-step explanation:

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3 years ago
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At a particular music store, CDs are on sale at $13.00 for the first one purchased and $10.00 for each additional disc purchased
netineya [11]
D=Disc
13+10d=83
10d=83-13
10d=70
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Maria purchased 8 CDs. Hope this helps!
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