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SOVA2 [1]
3 years ago
9

a company observes the lifespan of 560 lightbulbs and finds that their data follows a normal distribution. what is the approxima

te number of light bulbs that fall within two standard deviations from the mean?
Mathematics
1 answer:
quester [9]3 years ago
7 0
Empirical rule can be used to estimate the number of values that lie with 1, 2 or 3 standard deviations of a Normally distributed population.

According to the empirical rule, 95% of the values lie within 2 standard deviations of the mean.

Total number of bulbs = n = 560
95% of n = 0.95 x 560 = 532

This means, 532 bulbs will lie within 2 standard deviations from the mean 
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Factor the expression shown below completely.
alexira [117]

Answer:D. 2(3x-5)^2

Step-by-step explanation:

18x^2-60x+50=2(9x^2-30x+25)

3 0
3 years ago
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Last Tuesday was silly hat day at Carson's school. Of the 2,000 students at the school, 60% wore a silly
Galina-37 [17]

Answer:

1,200

Step-by-step explanation:

because you take 60% and make it .60 and multiply it by 2,000 and you get 1,200

8 0
3 years ago
Hi! can you please help me? please show your answer!
Sergio039 [100]

Answer:

1)  f=−8/7 2) z=−3/7

Step-by-step explanation:

1)-f+8=-8f

−f+8=−8f

Step 1: Add 8f to both sides.

−f+8+8f=−8f+8f

7f+8=0

Step 2: Subtract 8 from both sides.

7f+8−8=0−8

7f=−8

Step 3: Divide both sides by 7.

7f/7=−8/7

f=-8/7

2) 6z-5=-z-8

6z−5=−z−8

Step 1: Add z to both sides.

6z−5+z=−z−8+z

7z−5=−8

Step 2: Add 5 to both sides.

7z−5+5=−8+5

7z=−3

Step 3: Divide both sides by 7.

7z/7=−3/7

3 0
3 years ago
Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much
lubasha [3.4K]

Answer:

<u>24</u>

Step-by-step explanation:

To get your answer, you need to multiply 1.5 and 6.

<u>1.5 x 6 = 9</u>

Then you multiply 4 and 6.

<u>4 x 6 = 24</u>

Which is your final answer.

<h3><em>I hope this helps you! Good Luck!</em></h3>
4 0
3 years ago
In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
3 years ago
Read 2 more answers
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