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lianna [129]
3 years ago
5

This question, please answer it

Mathematics
2 answers:
zzz [600]3 years ago
6 0
I want to help, what is the question? Haha
kobusy [5.1K]3 years ago
5 0
I don’t really see a question-
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Need help solving this please
Aloiza [94]

Answer:

A) x=39

Step-by-step explanation:

117 = 3x

117 divided by 3 = 39

3x = 117

3(39) = 117

117 = 117

A) x = 39

4 0
2 years ago
Write a two-step equation that involves multiplication and subtraction, includes a negative coefficient, and had a solution of x
Contact [7]
9x - 21 = -42
This should be the type of equation that you're looking 4
7 0
3 years ago
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

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

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

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

By the Central Limit Theorem

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

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

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

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
I need help on this math because I don't understand
AlladinOne [14]
What do you need help with
6 0
3 years ago
Read 2 more answers
Tina completed 2/3 of her homework. George completed 7/8 of his homework. Who completed a greater fraction of homework
Amiraneli [1.4K]

get a common denominator of 24

2/3 * 8/8  vs 7/8 * 3/3

16/24 vs 21/24

16/24<21/24

2/3 <7/8

George did more work

6 0
2 years ago
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