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3 years ago

Was is a macroeconomics

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

4 0

Answer:

Macroeconomics is a study that deals with the whole economy and everything pertaining to it.

Step-by-step explanation:

when we talk about Macroeconomics, we mean the whole economy. It can be related to a country's import or export, governance, how resources are accurately allocated to people in the country and the like.

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The branch manager of a clothing store is analyzing the average total bill of sale for his location. the national manager has co

nadya68 [22]

Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

<h3>What does the Central Limit Theorem state?</h3>

It states that the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

By the Empirical Rule, 95% of the sample means fall within 2 standard errors of the mean.

In this problem, we have that the standard deviation and the sample size are given as follows:

$\sigma = 10.34, n = 400$

Hence the standard error is given by:

[tex]s = \frac{10.34}{\sqrt{400}} = 0.517.

Two standard errors is represented by:

2 x 0.517 = $1.034.

Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

#SPJ4

5 0

2 years ago

The three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain.

Luden [163]

Steps I took:

I drew out a circle with a radius of 1 and drew a trapezoid inscribed in the top portion of it. I outlined the rectangle within the trapezoid and the two right triangles within it. This allowed me to come to the conclusion, using the pythagorean theorem, that the height of the trapezoid is h=1−x24−−−−−√h=1−x24

The formula for the area of a trapezoid is A=a+b2(h)A=a+b2(h) I am basically solving for the aa here and so far I have:

A=x+22(1−x24−−−−−√)A=x+22(1−x24)

I simplified this in order to be able to easily take the derivative of it as such:

A=x+22(4−x24−−−−−−√)A=x+22(4−x24)

A=x+22(4−x2−−−−−√2)A=x+22(4−x22)

A=(14)(x+2)(4−x2−−−−−√)A=(14)(x+2)(4−x2)

Then I took the derivative:

A′=14[(1)(4−x2−−−−−√)+(x+2)((12)(4−x2)−1/2(−2x)]A′=14[(1)(4−x2)+(x+2)((12)(4−x2)−1/2(−2x)]

This all simplified to:

A′=14[4−x2−−−−−√−2x2−4x4−x2−−−−−√]A′=14[4−x2−2x2−4x4−x2]

Next, I set the derivative equal to zero in order to find the maximum point (I know that I can prove that it is actually a max point by taking the second derivative later)

14[4−x2−−−−−√−2x2−4x4−x2−−−−−√]=014[4−x2−2x2−4x4−x2]=04−x2−−−−−√−2x2−4x4−x2−−−−−√=04−x2−2x2−4x4−x2=04−x2−2x2−4x4−x2−−−−−√=04−x2−2x2−4x4−x2=04−x2−2x2−4x=04−x2−2x2−4x=0−3x2−4x+4=0−3x2−4x+4=0

so I got:

x=−2orx=23x=−2orx=23

x=−2x=−2 wouldn't make sense so I chose x=23x=23 and plugged it back into my original formula for the area of this trapezoid but my answer doesn't seem to match any of the multiple choice solutions. Where did I go wrong?

calculus optimization

6 0

3 years ago

Read 2 more answers

4x-4y is less than or equal to 28

pashok25 [27]

here is all the work