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3 years ago

The answer please answer

Mathematics

2 answers:

Mariana [72]3 years ago

7 0

Answer:

option c

Step-by-step explanation:

the answer is option a because you are trying to solve _____ - 4 (since for students left early) = 12 (since that is how many students are left)

so, you can reverse the equation, if that makes sense, and make it look like 12+4=_____ (fact families)

12+4=____

12+4=16

stealth61 [152]3 years ago

3 0

So basically . Four plus Twelve equals Sixteen

The answer would be, 16

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Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

What is the square root of 18457

Xelga [282]

135.9 rounded to the nearest tenth

8 0

3 years ago

Read 2 more answers

5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x

PSYCHO15rus [73]

Answer:

x=-8

Step-by-step explanation:

Simplifying

5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -15 + 14 = -1

-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -1 + -28 = -29

-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -29 + 2 = -27

-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: 5x + -7x = -2x

-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -2x + -8x = -10x

-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -10x + -3x = -13x

-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 11 + 56 = 67

-27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 67 + -6 = 61

-27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 61 + 8 = 69

-27 + -13x = 69 + -8x + 4x + 5x + -2x

Combine like terms: -8x + 4x = -4x

-27 + -13x = 69 + -4x + 5x + -2x

Combine like terms: -4x + 5x = 1x

-27 + -13x = 69 + 1x + -2x

Combine like terms: 1x + -2x = -1x

-27 + -13x = 69 + -1x

Solving

-27 + -13x = 69 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-27 + -13x + x = 69 + -1x + x

Combine like terms: -13x + x = -12x

-27 + -12x = 69 + -1x + x

Combine like terms: -1x + x = 0

-27 + -12x = 69 + 0

-27 + -12x = 69

Add '27' to each side of the equation.

-27 + 27 + -12x = 69 + 27

Combine like terms: -27 + 27 = 0

0 + -12x = 69 + 27

-12x = 69 + 27

Combine like terms: 69 + 27 = 96

-12x = 96

Divide each side by '-12'.

x = -8

Simplifying

x = -8

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