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Gnoma [55]
2 years ago
15

Out of every 5 students surveyed, 2 listen to country music. At the same rate, how many students in a school of 800 listen to co

untry music?
Mathematics
1 answer:
Lorico [155]2 years ago
8 0

Answer:320

Step-by-step explanation:

2/5 of the students surveyed lisen to country. So to make the percentage fit the total student population, you figure out what your 2/5 is in a percetnage.  That comes out to 40%. so, 40% of 800 is 320.

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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
Question #18: Three times as many boys as girls visited the mall in Deptford. A
romanna [79]

(boys)  x=3(y)

(girls)   y=x/3

Step-by-step explanation:

4 0
3 years ago
Which operation properly transforms matrix I to matrix II?
Y_Kistochka [10]

Answer:

D

Step-by-step explanation:

Replace R1 with 1 and R3 with 0 you have -2(1)+0 which equals 0 and that matches matrix II. Repeat the process with the other numbers in R1 and R3 and they all come out equal therefor the answer is D.

8 0
2 years ago
Volume (to the nearest tenth)
Ivenika [448]

Answer:

913

Step-by-step explanation:

cylinder:

radius=5.6 height=7

first lets find the volume of the cylinder the formula for the volume of a cylinder is pi times radius squared times height. so after plugging in the height and radius you get 689.64242

cone:

radius=5.6 height=6.8

now the volume of the cone, the formula for the volume of a cone is pi times radius squared times height/3. so after plugging in the height and radius of the cone you get 223.31278

so 689.64242 + 223.31278= 912.9552 and that rounded to the nearest tenth is 913

3 0
1 year ago
What does it mean to be a unit of account
jolli1 [7]

Answer:

A unit of account in economics is a nominal monetary unit of measure or currency used to value/cost goods, services, assets, liabilities, income, expenses; i.e., any economic item. It is one of three well-known functions of money. It lends meaning to profits, losses, liability, or assets.

Step-by-step explanation:

7 0
2 years ago
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