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Daniel [21]
3 years ago
11

I will give brainliest answer

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

  4 right; 4 up

Step-by-step explanation:

The difference between the two points is ...

  P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)

The translation is 4 units to the right and 4 units up.

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I need to find the ?
Zolol [24]

Answer:

Yup

Step-by-step explanation:

Nice!!!!

5 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
If 4 more than 4 times a certain number is the same as 4 more than the product of 3 and 4, what is that number?
gtnhenbr [62]

Answer: the number is 3

Step-by-step explanation:

Let the number be represented by x.

If 4 more than 4 times a certain number is the same as 4 more than the product of 3 and 4, it means that

4x + 4 = 4 + 3×4

4x + 4 = 4 + 12

4x + 4 = 16

Subtracting 4 from the left hand side and the right hand side of the equation, it becomes

4x + 4 - 4 = 16 - 4

4x = 12

Dividing the left hand side and the right hand side of the equation by 4, it becomes

x = 12/4 = 3

5 0
3 years ago
A professor has eight different tasks to assign, one to each of her eight teaching assistants. In how
insens350 [35]

Answer:

40320

Step-by-step explanation:

There are 8 different people we could assign to the first task.  Now there are 7 tasks and 7 people left.  There are 7 different people we could assign to the next task.    And so on

8 *7*6*5*4*3*2*1

8!

40320

8 0
3 years ago
Select the two values of x that are roots of this equation 2x2+7x+6=0
son4ous [18]

Answer:

I solved the question in three methods factorization, completing the square and quadratic equation . the continuation of completing the square is on the next page titled page 3

hope it helps

6 0
3 years ago
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