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Blababa [14]
3 years ago
7

Someone builds a crate.the volume of the crate is 48 cubic feet. the base area of the crate is 16 square feet. what is the hiegh

t of the crate?
Mathematics
1 answer:
jasenka [17]3 years ago
8 0
The height would be 3 because 48 divided by 16 equals 3.
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At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

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:

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

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.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

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

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
3 years ago
Which number line shows the solution to the inequality -6x - 3 > -9​
Amanda [17]

can you show the number line please

7 0
3 years ago
Please help I don’t understand
marta [7]

Answer:

x = 5

Step-by-step explanation:

The 2 strokes through XM and MY indicate the segments are congruent, so

YM = MX , that is

8x - 24 = 3x + 1 ( subtract 3x from both sides )

5x - 24 = 1 ( add 24 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5

4 0
3 years ago
Which equation is represented by the table?
kozerog [31]
(0,-1)(1,4)
slope = (4 - (-1) / (1 - 0) = (4 + 1)/1 = 5

y = mx + b
slope(m) = 5
(1,4)...x = 1 and y = 4
now we sub
4 = 5(1) + b
4 = 5 + b
4 - 5 = b
-1 = b

equation is : y = 5x - 1...answer C
6 0
3 years ago
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Soloha48 [4]

Answer:

i dont know but think about and have good luck

Step-by-step explanation:

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7 0
3 years ago
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