The answer choices are a. 32m b. 225 m c. 5 m d. 15 m

Mathematics

2 answers:

Crank3 years ago

7 0

Answer:

Step-by-step explanation:

according to pythagoras:

25^2 = 20^2 + 15^2

Katarina [22]3 years ago

3 0

Answer:

d. 15 m

Step-by-step explanation:

hypotenuse (h) = 25 m

base (b) = 20 m

perpendicular (p) = ?

By using Pythagoras theorem we get

p = √h² - b²

= √ 25² - 20²

= √ 225

= √ 15²

= 15 m

Hope it will help :)

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For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hou

Strike441 [17]

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

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:

$\mu = 61, \sigma = 4$