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allsm [11]
3 years ago
7

Computers from a particular company are found to last on average for 24 months without any hardware malfunction with a standard

deviation of 2 months. At least 100 ___ % of observations lie between 22 and 26 months?
Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

At least 68% of observations lie between 22 and 26 months.

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 = 24

Standard deviation = 2

22 = 24 - 2

22 is one standard deviation below the mean

26 = 24 + 2

26 is one standard deviation above the mean.

So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.

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What is the final price of a $30 item at 20% off and then %20 added?
stiv31 [10]
$30 because you are taking away 20% of $30 and then adding back that 20%.
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Find the value of x that makes the triangle a right triangle.
gogolik [260]

Answer:

Hi, I don't see an attachment with your question. But without any attachments to refer to. You use Pyrhagoras Theorem to solve this question.

Step-by-step explanation:

A^2 (Short side) + B^2 (Short side) = C^2 (Long side)

Stay safe and Merry Christmas! :)

4 0
2 years ago
Identify which of the twelve basic functions listed below fit the description given.
ozzi
The answer to this problem is letter d
3 0
3 years ago
In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.
xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD      (∵Given)

∠ACB=∠CAD      (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}

Comparing first two, we get

⇒ \frac{x}{27}=\frac{12}{x}

⇒ x^2=27\times 12

⇒ x=\sqrt324=18

hence, the length of diagonal is 18 m



4 0
3 years ago
Helpppppppppppp plzzzzzzzzzzzzzzzzzz!
prisoha [69]

Answer: F=140

Step-by-step explanation:

720=(x-60)+(x-40)+(x-20)+130+120+110

720-130-120-110=3x-120

360=3x-120

360+120=3x

480=3x

480/3=x

160=x

F=160-20

Next problem

102+31+x=180

133+x=180

x=180-133

x=47

7 0
3 years ago
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