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Mathematics

1 answer:

Luda [366]2 years ago

5 0

Answer:

< 2 and < 3 are complementary

Step-by-step explanation:

< 2 and < 3 are complementary because since 1 and 2 are complementary and 1 is congruent to 3 that would mean that 1 and 3 are equal degrees, so you could replace one with 2 as shown here: < 1 and < 2 are complementary and < 1 is congruent to < 3, then < 2 and < 3 are complementary. Assume < 1, < 2, and < 3 do not equal 45 degrees.

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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 $X = 55.5, Z = -0.5$