determine which postulate or theorem can be used to prove that abc is congruent to dcb is it sas, aas, sss, or asa?

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

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 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

So

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

So

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

2 years ago

What is the volume of the entire figure?<br><br> ____cm3

adelina 88 [10]

Answer:

180cm3

Step-by-step explanation:

4x12x3=144

2x2x9=36

144+36=180cm3

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2 years ago

Anybody knows what is -2(g - 3) = 2(g - 7)

Veronika [31]

Answer:

g = 4.6

Step-by-step explanation:

-3(g - 3) = 2(g - 7)

-3g + 9 = 2g - 14

-3g = 2g - 23

-5g = -23

g = 4.6

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How Do I To Study Effectively?

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Studying effectively is more harder than it sounds, but the best way to get in the zone in finding what things you prefer. Do you like silence or do you like to listen to music? Another thing when looking forward to studying is determining what you want to accomplish in each study session. To ensure you are studying your brain to the max is making flash cards and testing your own limit’s.

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A data analyst has spreadsheets numbered

algol [13]

Answer:

$\frac{2}{9}$