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BabaBlast [244]
3 years ago
10

How many 12-inch rulers will be about the same length as a flag

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0
How long is the flag
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The blood cholesterol levels of men aged 55 to 64 are approximately normally distributed with mean 222 mg/dl and standard deviat
tatiyna

Answer:

It is provided that 10% of the men aged 55 to 64 have cholesterol level <u>270 mg/dl</u> or higher.

Step-by-step explanation:

Let <em>X</em> = blood cholesterol levels of men aged 55 to 64 years.

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 222 mg/dl and standard deviation <em>σ</em> = 37 mg/dl.

It is provided that 10% of the men aged 55 to 64 have cholesterol level <em>x</em> mg/dl or higher.

Compute the value of <em>x</em> as follows:

P(X\geq x)=0.10\\P(\frac{X-\mu}{\sigma}\geq \frac{x-222}{37})=0.10\\P(Z\geq z)=0.10\\1-P(Z

Use the <em>z</em>-table to compute the value <em>z</em> for the probability 0.90.

The value of <em>z</em> is 1.29.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.29=\frac{x-222}{37} \\x=222+(1.29\times37)\\=269.73\approx270

Thus, 10% of the men aged 55 to 64 have cholesterol level 270 mg/dl or higher.

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The scale of a map is 1:1,000,000. What are the real distances between two points if the distance between them on this map is 35
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35km; Since the points on the map are one millionth of their actual size, simply multiply by one million and convert from there.

35*1,000,000 = 35,000,000mm

35,000,000/1000 = 35,000m

35,000/1000 = 35km

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