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MAXImum [283]
3 years ago
6

To estimate LaTeX: \muμ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a

random sample of 400 full professors. The sample mean is LaTeX: \bar{x} = $73,220 x ¯ = $ 73 , 220 and the sample standard deviation is s = $4400. A 99% confidence interval for LaTeX: \mu μ is Group of answer choices
A. 73220 +/- 11440

B. 73220 +/- 568

C. 73220 +/- 431

D. 73220 +/- 28.6
Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

99% confidence interval for \mu = 73220 \pm 565.4

Step-by-step explanation:

Sample mean = \bar{x} =73220

Standard deviation = s = 4400

Z at 99%  confidence level = 2.57

Sample = n = 400

Formula of confidence interval :\bar{x} \pm Z \times \frac{s}{\sqrt{n}}

Substitute the values in the formula :

So,99% confidence interval for \mu = 73220 \pm 2.57 (\frac{4400}{\sqrt{400}})

99% confidence interval for \mu = 73220 \pm 565.4

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The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
sergey [27]

Answer:

A or the top option

Step-by-step explanation:

I used process of elimination

B simply does not work because in order for 4 to be subtracted by another number to equal 18, that number (width) would have to be negative

C also isn't correct since if it was solved out, we would add four to both sides, making the left side equal to w/2 + 4 which isn't what we want because the length is 4 shorter, not longer

D can be dealt with in the same way, by adding w/2 on both sides, making the left side 4 + w/2, the same as the previous option.

5 0
3 years ago
PLS HELP ME I NEED HELP ON THIS!!
wolverine [178]

Answer:

Step-by-step explanation:

We multiply 4/5 times 3/1 to find how many miles the penguins swam in one hour.

4 x 3/5 x 1

12/5

The penguins swam 12/5, or 2 and 2/5 miles in one hour.

Table:

Miles     4/5        12/5

Hours    1/3           1

6 0
2 years ago
Read 2 more answers
Simplify the exponential expression.
liraira [26]

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}

After using the properties of integer exponent:

\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}

\rm =\dfrac{g\cdot \:6^2p^5}{p}

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

8 0
2 years ago
If a ball is thrown upward at 29.4 meters per second from the top of a building that is 80 meters high, the height of the ball c
RoseWind [281]

Answer:

<h2>124.1m</h2>

Step-by-step explanation:

29.4 per sec > Building 80m

Height = S = 4.9t^2 + 29.4t + 80

Solve for t:

t = 1.24 (approximately)

If t needed coordinates / solve using the quadratic formula:

t = (1.24 , -7.24)

<h3>The ball's maximum height is 124.1 meters.</h3>
7 0
3 years ago
9
IRINA_888 [86]

Answer:

B

Step-by-step explanation:

Because my teacher gave us the answer.

3 0
3 years ago
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