59 POINTS!!!! Show all work and circle your final answer for credit.

Mathematics

1 answer:

devlian [24]2 years ago

8 0

Answer:

Exact Form:

$\frac{\sqrt{10} }{4}$

Decimal Form:

0.79056941

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(4) (5) Geometry help

MissTica

For the first part, the answer is choice B) 360. This applies to any polygon and it doesn't have to be an octagon. The sum of the exterior angles of any polygon is always 360 degrees. This is something you should memorize or have on a reference sheet.

For the second part, the answer is choice C) 142 degrees. We have a parallelogram (specifically a rhombus but that doesn't matter) so the adjacent angles are supplementary. This means they add to 180 degrees. Solving x+38 = 180 leads to x = 142

5 0

2 years ago

There are 20 female performers in a dance recitial. The ratio of men to women is 3;4 . How many men are in the dance recitial.

Triss [41]

Answer:

There are 15 men in the dance recital.

Step-by-step explanation:

If 20 people is 4 parts, then 5 people are 1 part. Due to that, 15 people will equal 3 parts.

8 0

2 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 16.3, \sigma = 4.2$