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3 years ago

3 different problems, sorry these type confuse me

Mathematics

1 answer:

Art [367]3 years ago

5 0

F [g(x)]
= 5(6x) - 1
= 30x - 1

g [f(x)]
= 6(5x - 1)
= 30x - 6

g [f (2)]
= 6 [5(2) - 1]
= 6 (10 - 1)
= 60 - 6
=54

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What is the slope of the line passing through the given points 4,2 and -2,1

solniwko [45]

Answer:

Alright, here is the formula.

m = (y2 -- y1) / (x2 -- x1)

So, now we have to take the points and replace them with the variables.

m = (1 - 2) / (-2 - 4)

Great! So now, we have to solve.

1 - 2 = -1

-2 - 4 = -6

So now, it would be:

-1/6

That is the slope! Hope this helps! :)

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3 years ago

Which sentence from this introduction paragraph is most clearly providing background

Damm [24]

Answer:

sentence 2?

Step-by-step explanation:

sentence 1 provides background for the question, sentence 2 provides background for the graph, and sentence 3 is the question.

If you wanted the answer to the question:

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3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

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3 years ago

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Step-by-step explanation:

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