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zlopas [31]
3 years ago
6

What is the slope of the line whose equation is 12=4x-6y?

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

4x-6y-12=0 than it passes through the origin so.distance equals /ax+by+c/all over a^2+ b^2= 4(0)+6(0)-12/4^2+6^2= -12/16+36=12/52=0.23077

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How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the
ki77a [65]

Answer:

155 women must be randomly selected.

Step-by-step explanation:

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 = 1.645.

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.

The population standard deviation is known to be 28 lbs.

This means that \sigma = 28

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

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

3.7 = 1.645\frac{28}{\sqrt{n}}

3.7\sqrt{n} = 1.645*28

\sqrt{n} = \frac{1.645*28}{3.7}

(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2

n = 154.97

Rounding up:

155 women must be randomly selected.

4 0
3 years ago
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
Leto [7]
1) 30% - 212.52/(427.25+212.52+75)

2) 893.59

Total amount spent on Flooring (427.25+212.52+75) = 714.87

Amount spent on furniture = 714.87 * 1.25= 893.59

3) 13%

(893.59-558.49-893.59/4)/893.59

5 0
3 years ago
You and your friend go out to dinner The cost of your meal is 12.75, your friend's meal is 13.95. You tell your friend that you
gavmur [86]

answer: 5.34

Step by step explanation 12.75 + 13.95=26.7

20% of 26.7 is 5.34

6 0
2 years ago
Helppp plzzzzz mathhh
spayn [35]

Answer:

A) f^-1(x)=(x-8)^3+2

Step-by-step explanation:

To find the function inverse, switch the x with y and solve for y.

y=\sqrt[3]{x-2}+8 \\\\x=\sqrt[3]{y-2}+8\\\\(x-8)^3 = y-2\\\\ (x-8)^3 + 2 = y

5 0
3 years ago
What is the solution for -10 < x - 9?
ikadub [295]
ANSWER:

x > - 1

STEP-BY-STEP EXPLANATION:

- 10 < x - 9

x - 9 > - 10

x > - 10 + 9

x > - 1
6 0
3 years ago
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