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2 years ago

A symbol used to name one or more parts of a whole or asset or a location on the number line is a

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

7 0

Answer:

<h2>Fraction is the answer </h2>

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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

2 years ago

Find perimeter of a rectangle that is 21 ft by 3 ft

alukav5142 [94]

24 ft should be your answer if I'm correct

4 0

2 years ago

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What is the square root of 48

aliya0001 [1]

6.92820323028 is your answer.

6 0

2 years ago

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One minute after it is released, a gas-filled balloon has risen 100 feet. In each succeeding minute, the balloon rises only 50%

goldfiish [28.3K]

The amount that it rises each minute forms a geometric sequence...

a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so

a(n)=100(1/2)^(n-1)

And the sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r)

s(n)=100(1-0.5^n)/(1-0.5)

s(n)=200(1-0.5^n)

So we can call these sums the height function

h(t)=200(1-0.5^t)

So after 5 minutes...

h(5)=200(1-0.5^5)

h(5)=193.75 ft

8 0

2 years ago

How do you divide a negative number and a positive number? My problem is -19÷13.

cestrela7 [59]

When you divide a negative and a positive, you don't have to worry about the negative that much. Just divide like normal, and then add the negative at the end. However, if you divide a negative by a negative, it's double negative, and therefore positive. So in the case of -19 / 13, the answer would be negative.

Hope this helps! :)

4 0

2 years ago

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