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3 years ago

Simplify the expression (2h+1)(8)

Mathematics

1 answer:

Elza [17]3 years ago

8 0

Answer:

$16h+8$

Step-by-step explanation:

$(2h+1)(8)$

Multiply 8 with 2h and 1

$16h+8$

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Simplify by combining like terms on each side of the equation. State your new equation.

vladimir1956 [14]

6x + x + x - 5 - 2 = 8 + 2x + x

combine like terms

8x -7 = 8 +3x

subtract 3x from each side

5x -7 = 8

add 7 to each side

5x = 15

divide by 5

x=3

Answer: 8x -7 = 8 +3x

x=3

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2 years ago

Ann purchased 6 packs of red pens, 10 packs of blue pens, and 8 packs of black pens. If there are 6 pens in each pack, how many

marishachu [46]

6 packs is greater because 2-3=-1

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3 years ago

A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare ben

juin [17]

Answer:

The estimation for the proportion for this case is $\hat p = 0.21$

And we know that the 99% confidence interval is given by:

$0.21 \pm 0.045$

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The estimation for the proportion for this case is $\hat p = 0.21$

And we know that the 99% confidence interval is given by:

$0.21 \pm 0.045$

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

5 0

3 years ago

You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should yo

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30 minutes on the first machine. 10 minutes on the second

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3 years ago

What is the equation of a line whose slope is 3/4 and y-intercept is 6

TEA [102]

Answer:

$y=\frac{3}{4}x +6$

Step-by-step explanation:

The equation of a line is represented by y=mx+b, where m is the slope and b is the y-intercept. Therefore, plug in the values you stated into the equation.

4 0

3 years ago