One number is 6 greater than another. the product of the number is 55. find the numbers

Can you bisect an angle using only a compass and a straight edge

ahrayia [7]

Answer:

yes

Step-by-step explanation:

bisect = dividing it into two equal parts

if you were to line the angle up with the north (or really any line of the compass), you could find the center (you could find where two lines [the same distance from north] are on equal sides of north, or you could just find the center of the angle from sight)

and with the straight edge, you could easily divide the angle into two equal halves

4 0

2 years ago

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

3 years ago

Select an equation for this graph please help me.

MrRissso [65]

A is the answer.

First, figure out all the coordinates for the points marked red( I Did this for all except first one, which was not on the right point)

They were:

-1,1

0,2

1,4

2,8

3,16.

Then, we must do trial and error for each of the options until we find one that fits perfectly. Luckily, the first option was right!

Hope this helps

3 0

3 years ago

To estimate his travel time, joe divides the distance, d, in miles by 5 less than his expected average speed, in miles per hour.

Elis [28]

<span>Distance is equal to rate times time, and time is the unknown in this instance. To find time, divide distance by rate. In this case, Joe wants to use a rate five miles per hour less than his planned speed of 75 miles per hour, which is 70. Dividing 310 miles by 70 miles per hour yields an expected travel time of 4.4 hours.</span>

4 0

3 years ago

Derrick's parents are finalizing a budget for his college expenses. His first year of college will cost $8,000, and his

pychu [463]

The first answer

Step by step

His first year costs $8,000
So our total amount to start with is $8,000

His second year will cost 12% more than his first so $8,000 • 1.12 = $8,960
Our total is now $16,960

His third year will again will be 12% more than his last year so $8,960 • 1.12 = 10,035.2
Our total is now $26,995.2

His last year will be 12% more than his previous year so $10,035.2 • 1.12 = $11,239.42
Our final total is $38,234.62
Which rounded equals $38,235

7 0

3 years ago

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