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Maslowich
3 years ago
6

Find the Area of the shaded region of the trapezoid below. (

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Step-by-step explanation:

ifigikkffkfkfgvpnvqnf

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Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o
AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that \mu = 490, \sigma = \sqrt{400} = 20

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{500 - 490}{20}

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

4 0
3 years ago
FREE POINTS 2!!
Ganezh [65]

Answer:

13680

Step-by-step explanation:

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8 0
3 years ago
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Name a plane parallel to plane DEF.
ZanzabumX [31]

Step-by-step explanation:

angle ABC is a parallel to angle DEF

7 0
3 years ago
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Which of the following is a factor of 15x2 − 14x − 8?
iren [92.7K]

Answer:<em>(3x-4)(5x+2)  </em>

Step-by-step explanation:

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4 0
3 years ago
From end zone to end zone, a football field is 120 yards long. How long is the football field in feet?
cricket20 [7]

Answer:

The football field is 360 feet long.

Step-by-step explanation:

Remember, there are 3 feet in 1 yard.

1 yard = 3 feet

To find out how long the football field in feet, we must convert 120 yards into feet.

To convert yards to feed, multiply the number of yards by 3 (3 feet per yard).

120 × 3 = 360

The football field is 360 feet long.

I hope this helps. :)

4 0
3 years ago
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