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disa [49]
3 years ago
7

OFFERING 50 POINTS!!! The army reports that the distribution of waist sizes among female soldiers is approximately normal, with

a mean of 28.4 inches and a standard deviation of 1.2 inches. Part A: A female soldier whose waist is 26.1 inches is at what percentile? Explain your reasoning and justify your work mathematically. Part B: The army uniform supplier regularly stocks uniform pants between sizes 24 and 32. Anyone with a waist circumference outside that interval requires a customized order. Describe what this interval looks like if displayed visually. What percent of female soldiers requires custom uniform pants? Show your work and justify your reasoning mathematically.
Mathematics
1 answer:
hammer [34]3 years ago
4 0

Answer:

Step-by-step explanation:

1)

Percentile is related to the area under the standard normal curve to the LEFT of a certain data value (which in this case would be 26.1 inches).

On my Texas Instruments TI-83 Plus calculator, I found this area as follows:

normcdf(-100, 26.1, 28.4,1.2), where the range -100 to 26.1 represents the area (as a decimal fraction) to the left of 26.1 inches.  My result was 0.028, which corresponds to the 3rd percentile (0.028 rounds off to 0.03, which would be 3rd percentile).

2)  The mean waist size is 28.4 inches, represented by a vertical line through the standard normal curve lying between 24 and 32.  We use the same function on the calculator:  normcdf(24, 32, 28.4, 1.2).

The result is 0.9985.  Subtracting this from 1.0000, we get 0.001, or 0.1%, which is the percentage of female soldiers requiring custom uniforms.

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Step-by-step explanation:

we have 8 equally "heavy" batches.

one weighs 3.9 × 10^-10 g

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8 × 3.9 × 10^-10 = 31.2 × 10^-10 = 3.12 × 10^-9 g

7 0
2 years ago
Which expression is a prime polynomial?
irakobra [83]

The expression that is a prime polynomial is:

B. x^3 - 27y^2.

<h3>What is a prime polynomial?</h3>

A prime polynomial is a polynomial that cannot be factored.

In this problem, item b gives a prime polynomial, as:

  • In item a, 3 is a common factor, hence the polynomial can be factored.
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More can be learned about prime polynomials at brainly.com/question/26388060

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4 0
2 years ago
PLZ help <br><br> (5x10^2)+(4x10^3)
timurjin [86]
10 x 10 = 100
100 x 5 = 500
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Hope this helped!
7 0
3 years ago
Read 2 more answers
30 Points please help!! Please explain too!
sergiy2304 [10]
Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
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3 0
3 years ago
Please help I do not get
katen-ka-za [31]

Answer:

(a) 51%

(b) 41%

Step-by-step explanation:

We can simplify this problem down by realizing that the amount of girls over 200 will get us our percentage as a decimal.

Looking at this table, we can see that 30+72=102 girls were asked. So, 102\div200=0.51, and 0.51\cdot100=51.

We can also see that 30+52=82 people preferred video games, so 82\div200=0.41, and 0.41\cdot100=41.

Hope this helped!

8 0
3 years ago
Read 2 more answers
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