A Complete the information needed below.

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1900 hours

lana [24]

Answer:

0.9641 = 96.41% probability that the life span of the monitor will be more than 15,579 hours.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 19000, \sigma = 1900$

Find the probability that the life span of the monitor will be more than 15,579 hours.

This is 1 subtracted by the pvalue of Z when X = 15579. So

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

$Z = \frac{15579 - 19000}{1900}$

$Z = -1.80$

$Z = -1.80$ has a pvalue of 0.0359

1 - 0.0359 = 0.9641

0.9641 = 96.41% probability that the life span of the monitor will be more than 15,579 hours.

5 0

3 years ago

The areas of the sides of a rectangular box are

Rufina [12.5K]

Answer:

<u>4900 In. Squared</u>

Step-by-step explanation:

The formula for calculating volume is Length X Base X Height

So as you can see, the way you would solve this problem si by doing

10 X 14 X 35 which would give you the final answer of

4900 Inches Squared or 4900 In.2

7 0

2 years ago

Write each ratio statement as a fraction and reduce to lowest terms if possible:

qwelly [4]

The answers are:

18 to 24 = $\frac{18}{24} = \frac{3}{4}$

5 to 15 = $\frac{5}{15} = \frac{1}{3}$

14:42 = $\frac{14}{42} = \frac{1}{3}$

15 cents to 18 cents = $\frac{15}{18} = \frac{5}{6}$

Explanation:

To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are $\frac{18}{24}$ , $\frac{5}{15}$ , $\frac{14}{42}$ , and $\frac{15}{18}$ .

The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.

$\frac{18}{24}$ divide this by 6, which is equivalent to $\frac{3}{4}$