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mrs_skeptik [129]
3 years ago
12

9. Find (f.g)(a) if f(a) = . and g(a) = 2². Fully simplify your answer.

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

D is your answer ....

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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
3 years ago
Identify the initial value and rate of change for the graph shown. (4 points)
fiasKO [112]

Answer:

k12

Step-by-step explanation:

6 0
2 years ago
What is the numerical coefficient of the first term
Ira Lisetskai [31]

Answer:

the number before the first variable (first term)

Step-by-step explanation:

this appears to be an incomplete question. The numerical coefficient of a term is the number before the variable.

the constant is the number without a variable.

4 0
3 years ago
Read 2 more answers
Find the slope of two points: (-2,-1) and (4,3)
marta [7]

Answer: m = 2/3

\frac{-1-3}{-2-4} = \frac{-4}{-6} = \frac{2}{3}

6 0
3 years ago
At a competition with 6 runners, 2 medals are awarded for first and second
insens350 [35]

Answer:

30 ways

Step-by-step explanation:

The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.

So there are 6x5=30 different ways to award the medals

3 0
3 years ago
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