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1 year ago

What is the inequality shown? -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Mathematics

1 answer:

vitfil [10]1 year ago

5 0

Step-by-step explanation:

well it could be -10 < x < 10

or -9 ≤ x < 10

or -10 < x ≤ 9

or -9 ≤ x ≤ 9

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Find the range of possible measures for the third side of a triangle is the first two sides are 9 and 9.

Dafna1 [17]

In a triangle the sum of two sides is always greater than the third side.

9-9 < x < 9+9
0 < x < 18 ← answer

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2 years ago

Options: for A-G

Sindrei [870]

Answer:

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b. Line segment KM

c. Given

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3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

2 years ago

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stealth61 [152]

-8, -3, -2.5, 0, 1/4, 6

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2 years ago

Read 2 more answers

Which equations are equivalent to the given equation?

Strike441 [17]

49=-7k is equivalent to D because when you simplify both of them, you get -7=k

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2 years ago