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3 years ago

Please help

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

1. 12

2. 12/3.5 = 3.43

3. 12/15 = 0.8

4. 3.43/0.8

5. 315/x

6. 315/x = 0.8/3.43

7. (315)(3.43) = 0.8x divide both sides by 0.8, so x = 1,350.5625 feet.

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Stress at work: In a poll conducted by the General Social Survey, 80% of respondents said that their jobs were sometimes or alwa

Svet_ta [14]

Answer:

a) P=0.019

b) P=0.263

c) P=0.794

Step-by-step explanation:

We assume that the poll gives the population's proportion of respondents said that their jobs were sometimes or always stressful (p=0.8).

Then, a sample of size n=190 is taken.

The sample mean is:

$\mu=np=190*0.8=152$

The sample standard deviation is:

$\sigma=\sqrt{np(1-p)}=\sqrt{190*0.8*0.2}=\sqrt{30.4}=5.514$

The probability that 140 or fewer workers find their jobs stressful is:

$z=(X-\mu)/\sigma=(140.5-152)/5.514=-11.5/5.514=-2.08 \\\\P(X\leq140)=P(X$

Note: a correction for continuity is applied.

The probability that more than 155 workers find their jobs stressful is

$z=(X-\mu)/\sigma=(155.5-152)/5.514=3.5/5.514= 0.635 \\\\P(X>155)=P(X>155.5)=P(z>0.635)=0.263$

The probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive is:

$z_1=(X_1-\mu)/\sigma=(158.5-152)/5.514=6.5/5.514= 1.179\\\\ z_2=(X_2-\mu)/\sigma=(144.5-152)/5.514=-7.5/5.514= -1.360 \\\\ P(145\leq X\leq 158)=P(144.5< X< 158.5)\\\\P(145\leq X\leq 158)=P(X$

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2 years ago

Read 2 more answers

What is the volume of the regular pyramid below?

erastovalidia [21]

Answer:
volume of regular pyramid = 3388 units³

Explanation:
Volume of regular pyramid can be calculated using the following rule:
volume of regular pyramid = $\frac{1}{3}$ * area of base * height
volume of regular pyramid = $\frac{1}{3}$ * length * width * height

Based on the comment you added above, we have:
length = 11 units
width = 11 units
height = 84 units

Substitute with the givens in the above equation to get the volume as follows:
volume = $\frac{1}{3}$ * 11 * 11 * 84
volume = 3388 units³

Hope this helps :)

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2 years ago

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JulsSmile [24]

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2 years ago

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siniylev [52]

Answer:

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