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Vsevolod [243]
2 years ago
10

IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION

Mathematics
1 answer:
alexgriva [62]2 years ago
6 0

Answer:

Step-by-step explanation:

17) B. They are adding 2 to both sides.

18) A. A segment is equal to itself.

19) D. They are multiplying both sides by 2.

20) C. They are simply swapping the left and right hand sides of the equation

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I need help with this please help asap
kaheart [24]

Step-by-step explanation:

4^5 (-2)^9/4^8 (-2)^3

= 4^(5 - 8) (-2^(9 - 3))

= 4^-3 (-2^6)

= (-2)^6/4^3

1). (-2)^a/4^b

a = 6, b = 3

2). c/d

c = -2, d = 4

6 0
3 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
3 years ago
A wooden toy kit has different painted solids. One solid is a cylinder with diameter 2cm and height 2cm. what is it's volume
jarptica [38.1K]
V=pi (r^2) (h)
v= 3.14  * 1 * 2
V= 6.28
4 0
3 years ago
Read 2 more answers
1) What is the volume of this aquarium?<br> 5 in.<br> 6 in.<br> 5 in.<br> 10 in.<br> 18 in.
Flura [38]
Which one is the length, height, and width? After you that then multiple and you should have your answer. Hope this helps!
4 0
3 years ago
You have 10 cookies and want to give 1/2 of them to a friend how many do you give to your friend
pogonyaev
1/2 of 10 is 5 so the answer you are looking for is 5 cookies
5 0
3 years ago
Read 2 more answers
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