What is 89/10 as a mixed number

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

3 0

89/10 = (80 + 9)/10 = 80/10 + 9/10 = 8 9/10

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The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a b

Anastaziya [24]

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

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.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that $\sigma = 15, \mu = 590$

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{605 - 590}{15}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

7 0

2 years ago

How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t

Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$