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Ugo [173]
3 years ago
5

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours and the mean lifetime of a b

ulb is 500 hours. Find the probability of a bulb lasting for between 480 and 526 hours.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

The probability of a bulb lasting for between 480 and 526 hours=0.74454

Step-by-step explanation:

We are given that

Standard deviation of the lifetime,\sigma=20hours

Mean, \mu=500hours

We have to find the probability of a bulb lasting for between 480 and 526 hours.

P(480

P(480

P(480

P(480

P(480

Hence, the probability of a bulb lasting for between 480 and 526 hours=0.74454

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Step-by-step explanation:

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On a coordinate plane, square p q r s is shown. point p is at (4, 2), point q is at (8, 5), point r is at (5, 9), and point s is
Masteriza [31]

A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of a line is given by the following formula;

Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

For line RP, we have:

Slope = \frac{9\;-\;2}{5\;-\;4}\\\\Slope = \frac{7}{1}

Slope RP = 7.

For line SQ, we have:

Slope = \frac{6\;-\;5}{1\;-\;8}\\\\Slope = \frac{1}{-7}

Slope SQ = negative one-sevenths.

For the midpoint, we have:

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.

Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.

In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.

Read more on squares here: brainly.com/question/2882032

#SPJ4

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