All categories

3 years ago

So like I need help on this,

Mathematics

1 answer:

saw5 [17]3 years ago

3 0

Answer:

Trapezoid with the area 16.5 unit²

Step-by-step explanation:

Plotted the given points to find out the figure is trapezoid.

Area formula for trapezoid:

A = 1/2(b₁ + b₂)h

The length of the bases:

b₁ = DE = 3 - (-1) = 4
b₂ = FG = 4 - (-3) = 7

h is the horizontal distance between the bases:

h = 2 - (-1) = 3

The area is:

A = 1/2(4 + 7)(3) = 16.5 unit²

You might be interested in

The Commutative Property of Addition would say 3y + 6 = _______

spayn [35]

Answer:

6 + 3y

Step-by-step explanation:

a + b = b + a

Numbers can be added in any order, and you still get the same answer

3 0

3 years ago

Guys im not in high school im in middle school

ella [17]

Answer:

ok that is awesome

4 0

2 years ago

Read 2 more answers

What is the difference of 29.34 – 14.24? Pleasee help.

Delicious77 [7]

Answer:

15.1

Step-by-step explanation:

29.34

-14.24

---------

15.10

8 0

2 years ago

Which describes the correlation shown in the scatterplot?

xenn [34]

Answer:

I don't know..

Sorry for spamming...

6 0

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