The measure of angle 4 is 45. If angle 4 is congruent to angle 1, what is the measure of angle 5?

Mathematics

1 answer:

mr_godi [17]2 years ago

8 0

The answer is A) 45°. This is because angles 1 and 5 are vertical angles. Vertical angles are congruent.

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What is greater 0.83 or 8.3

Grace [21]

8.3 is 10 times 0.83 so it is greater by a factor of 10

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2 years ago

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

Triss [41]

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 25, \sigma = 4$