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user100 [1]
3 years ago
12

What is the volume? Please answer asap.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

20

Step-by-step explanation:

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The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

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

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
On a coordinate plane, a circle has a center at point (negative 6, 4). What is the equation of the circle shown in the graph? (
lukranit [14]

Answer:

1) x+6 2)y-4 3)36

Step-by-step explanation:

(x+6)² + (y-4)² = 36

5 0
3 years ago
Read 2 more answers
We have 2 cups of butter.we used 1/4cup, 1/2 cup, and 1/8 cup. How much will be left?
alina1380 [7]

Answer:

Step-by-step explanation:

2 cups=8/4 1/2=2/4 1/8=0.5/4

8/4-1/4=7/4

7/4-2/4=5/4

5/4-0.5/4=4.5/4

Answer:1 0.5/4 cups

4 0
3 years ago
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Please help, Math is not for me
Bond [772]

Answer:

-25

Step-by-step explanation:

-5 * -5= -25

7 0
3 years ago
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Mia has n pairs of earrings. She receives 3 more pairs of earrings. Which expression represents the number of earrings Mia has n
kvv77 [185]
I believe the correct answer from the choices listed above is option D. The expression that would represent the number of earrings Mia has now would be n+3. It should be the sum of n earrings she originally had and the additional 3 earrings. Hope this answers the question.
4 0
3 years ago
Read 2 more answers
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