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Degger [83]
3 years ago
15

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

The answers are in the image

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Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What
Anarel [89]

Answer:

1759.52cm^3

Step-by-step explanation:

Given data

Cylinder E

h = 30 cm and

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*30

V= 3.142*16*30

V=1508.16 cm^3

Cylinder F

h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

Hence the total volume is

=251.36+1508.16

= 1759.52cm^3

6 0
3 years ago
NEED HELP!
frozen [14]
The equation for Tom: y=30+1x
The equation for Nita: y=18+5x

This is the answer
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3 years ago
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A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within thr
Y_Kistochka [10]

Answer:

972 junior executives should be surveyed.

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}}

35% of junior executives left their company within three years.

This means that \pi = 0.35

0.95 = 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.

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

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

0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}

\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2

n = 971.2

Rounding up:

972 junior executives should be surveyed.

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3 years ago
How to do rdw for 4th grade math
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An employee's gross pay for a period is $820. The employee takes one withholding for a state allowance of $19. There is also a s
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