Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

f(h(x))= 2x-4

Step-by-step explanation:

f(h(x))=f(2x+3)=2x+3-7= 2x-4

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Explain how to estimate the square root of 1659

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Explanation:

Find the two closest square numbers to 1659.

40*40=1600

41*41=1681

Decide much closer to either 1600 or 1681 is 1659.

If it is exactly halfway between the two numbers, the square root is 40.5.

If it is closer to 1600, the sq rt decimal is between 1 and 4.

If it is closer to 1681, the sq rt decimal is between 6 and 9.

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3 years ago

Evaluate the expression: (–2)2 + (–42) + (18 – 23).

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Step-by-step explanation:

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A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a

vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is $\hat{p}=0.42$ and a good aproximation (because we have a large sample) for the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156$ . Therefore, a 99% confidence interval for p is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ where $\alpha=0.01$ and $z_{\alpha/2}$ is the $\alpha/2$ th quantile of the standard normal distribution, so we have, $0.42\pm z_{0.005}0.0156$ , i.e., $0.42\pm(-2.5758)(0.0156)$ or equivalently (0.3798, 0.4602).