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sveticcg [70]
3 years ago
6

The print on the package of -watt General Electric soft-white light-bulbs says that these bulbs have an average life of hours. A

ssume that the lives of all such bulbs have a normal distribution with a mean of hours and a standard deviation of hours. Find the probability that the mean life of a random sample of such bulbs will be
Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

Hi your question is incomplete attached below is the complete question

answer : p ( X < 725 )  = 0.0116

Step-by-step explanation:

Given data:

Average life of bulbs (μ  ) = 750 hours

standard deviation (б ) = 55 hours

n ( sample size ) = 25

X = 725  

<u>Probability that the mean life of a random sample of 25 bulbs will be less than725 hours </u>

p ( X < 725 ) = p (( X - μ )/ б √n  <  725 - 750 / 55√25 )

                     = P ( Z > - 2.27 )

Hence P ( X < 725 ) = 0.0116  ( using Z-table )

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1/2

Step-by-step explanation:

The equal distance between 0 and 1 must be one-half or 1/2.

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Add 3 feet 6 in add 3 feet 6 in + 8 ft 2 in + 4in + 2ft 5in what does that add up to ​
Troyanec [42]

Answer:

173 inches

Step-by-step explanation:

i don't entirely understand the question but i think you're trying to add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches?

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

<em>i've added these parentheses in order to make it easier to see the grouped measurements. this isn't necessary but i'm just doing it to hopefully aid my explanation since there's so many terms in the expression!</em>

<em />

start by converting everything to inches just to make the addition as well as showing your work easier. all you have to do is multiply the amount of feet by 12 because there are 12 inches in a foot! :)

<u>(3 feet 6 inches)</u><u> + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

for your first measurement, <u>3 feet 6 inches</u>, convert 3 feet to inches by multiplying the amount of feet, 3, by 12.

3(12) = 36<em> (therefore 3 feet is equal to 36 inches!)</em>

and add the remaining 6 inches.

36 + 6 = 42 <em>(therefore 3 feet 6 inches is equal to 42 inches!)</em>

<em />

<u>(3 feet 6 inches) + </u><u>(8 feet 2 inches)</u><u> + (4 inches) + (2 feet 5 inches)</u>

for your second measurement, <u>8 feet 2 inches</u>, convert 8 feet to inches by multiplying the amount of feet, 8, by 12.

8(12) = 96 <em>(therefore 8 feet is equal to 96 inches!)</em>

and add the remaining 2 inches.

96 + 2 = 98 <em>(therefore 8 feet 2 inches is equal to 98 inches!)</em>

<u>(3 feet 6 inches) + (8 feet 2 inches) + </u><u>(4 inches)</u><u> + (2 feet 5 inches)</u>

nothing needs to be done to this quantity since it's already in inches.

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + </u><u>(2 feet 5 inches)</u>

for your fourth measurement, <u>2 feet 5 inches</u>, convert 2 feet to inches by multiplying the amount of feet, 2, by 12.

2(12) = 24 <em>(therefore 2 feet is equal to 24 inches!)</em>

and add the remaining 5 inches.

24 + 5 = 29 <em>(therefore 2 feet 5 inches is equal to 29 inches!)</em>

now, here is the expression with everything in inches.

<u>42 inches + 98 inches + 4 inches + 29 inches</u> <em>aka</em> <u>42 + 98 + 4 + 29</u>

<u />

now add everything up!

42 + 98 + 4 + 29 = 173 inches

your total is 173 inches! i hope this helps and i hope i explained it well enough. have a lovely day! <3

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