What’s 17/12 as a mixed number

My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 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:

$\mu = 1600, \sigma = 70$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

$-2.33 = \frac{X - 1600}{70}$

$X - 1600 = -2.33*70$

$X = 1436.9$

The bulbs should be replaced each 1436.9 hours.

6 0

3 years ago

How can I solve prove that questions in trigonometry.

madam [21]

Step-by-step explanation:

Tip 1) Always Start from the More Complex Side.

Tip 2) Express everything into Sine and Cosine.

Tip 3) Combine Terms into a Single Fraction.

Tip 4) Use Pythagorean Identities to transform between sin²x and cos²x.

Tip 5) Know when to Apply Double Angle Formula (DAF)

I am also from nepal...very happy to see you..

7 0

2 years ago

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0

3 years ago

Solve <br> x + 2y = 3 <br> x - y = 6<br> x = ? <br> y = ?

Airida [17]

Y=1

x=7

that's the answer !!

6 0

3 years ago

Find the slope of a line that passes through the given points. Write your answer below.

12345 [234]

Just use the formula:
$slope(m) = \frac{y_2-y_1}{x_2-x_1}$

Then, plug in numbers:
$m = \frac{1-4}{-2-3} = \frac{-3}{-5} = \frac{3}{5}$

And that would be your answer: 3/5 is the slope.

4 0

3 years ago