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andriy [413]
2 years ago
10

What numbers multiply to -30 and add to 7​

Mathematics
1 answer:
insens350 [35]2 years ago
6 0

Answer:

10 and -3

Step-by-step explanation:

10 x -3 = -30

10 + (-3) = 7

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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that \mu = 33208, \sigma = 2503.

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when X = 33208+633 = 33841 subtracted by the pvalue of Z when X = 33208 - 633 = 32575

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57

So

X = 33841

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

Z = \frac{33841 - 33208}{357.57}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

X = 32575

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

Z = \frac{32575- 33208}{357.57}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0
3 years ago
MULTIPLE CHOICE
loris [4]

Answer:

18.18 mph

Step-by-step explanation:

6 0
3 years ago
Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more than 20 rows. What are t
-Dominant- [34]
5 rows of 14 chairs
7 rows of 10 chairs
Or
14 rows of 5 chairs
10 rows of 7 chairs
6 0
2 years ago
Read 2 more answers
What is the percent of change to 125 centimeteres 87.5 centimeters?
MrRa [10]
I hope this helps you

125-87,5=37,5

125 37,5

100 ?

?.125=100.37,5

?=3750/125

?=30


30%
5 0
2 years ago
Help me out please this is my sister's lol
nalin [4]

It's nice to help your sister.

a) 9711 rounds to 10000

b) 6549 rounds to 7000

c) 25499 rounds to 25000

d) 979501 rounds to 980000


5 0
2 years ago
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