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sleet_krkn [62]
3 years ago
6

A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50 hours. If the life of these lig

ht bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours?
Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:

99.7% of the distribution will be between 600 hours and 900 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 750

Standard deviation = 50

What percent of the distribution will be between 600 hours and 900 hours?

600 = 750 - 3*50

600 is 3 standard deviations below the mean

900 = 750 + 3*50

900 is 3 standard deviations above the mean

By the Empirical Rule, 99.7% of the distribution will be between 600 hours and 900 hours.

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Is this a true or false question?
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Could I get some help in here​
IgorC [24]

Answer:

  98 ft²

Step-by-step explanation:

There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...

  A = (1/2)(14 ft)(14 ft) = 98 ft²

Of course the area of the square from which it is cut is ...

  A = (14 ft)² = 196 ft²

So, the net area of the two triangles shown is ...

  A = (196 ft²) - (98 ft²) = 98 ft²

_____

Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...

  A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)

We can factor out 7 ft to get ...

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  A = (7 ft)(14 ft) = 98 ft²

3 0
4 years ago
What is this 4³ - 30 ➗ 2
svlad2 [7]

Step-by-step explanation:

answer= 8

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5 0
3 years ago
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Perform the requested operation or operations.
alukav5142 [94]
f(x) = \frac{x-3}{5}
g(x) = 5x+3
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EDIT:
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4 0
3 years ago
How many terms of the arithmetic progression 2,5,8..Must be taken to get a sum of 392?​
AveGali [126]

Answer:

Number of term = 48

Step-by-step explanation:

GIven:

Arithmetic progression

2,5,8..

Total sum of Arithmetic progression is 392

Find:

Number of term

Computation:

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Difference d = 5 - 2 = 3

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392 = [n/2][4 + 3n - 3]

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Number of term = 48

6 0
3 years ago
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