The length of a rectangle is 5 meters greater than the width. The perimeter is 150 meters. Find the width AND the length.

Mathematics

1 answer:

oee [108]4 years ago

7 0

Answer:

L=62.5 W=12.5

Step-by-step explanation:

L=5W

150=2W+2(5W)

75=W+5W

75=6W

W=12.5

12.5×5=62.5

62.5+62.5+12.5+12.5=150

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A six sided die is rolled 4 times. find the probability that a 2 or 3 is rolled at least once. round your answer to two decimal

goblinko [34]

The probability that a 2 or 3 is rolled at least once is 0.14.

<h3>Probability of not rolling a 2 or 3 in a single die roll of two dice</h3>

when a six die is rolled once there is 11/12 probability of not rolling 2 or 3.

rolling a six sided die two times, p(2 or 3)' = 11/12

rolling a six sided die four times, p(2 or 3)' = (11/12)² = 121/144

the probability that a 2 or 3 is rolled at least once is calculated as follows;

P = 1 - p(2 or 3)'

P = 1 - 121/144

P = 20/144

P = 0.14

Thus, the probability that a 2 or 3 is rolled at least once is 0.14.

Learn more about probability here: brainly.com/question/24756209

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4 0

2 years ago

The heights of male are normally distributed with mean of 170 cm and standard deviation

Bumek [7]

Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 170cm and standard deviation of 7.5 cm.

This means that $\mu = 170, \sigma = 7.5$