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enyata [817]
3 years ago
13

Jacob kept track of the number of hours that he spent playing soccer each week for several weeks he spent 3, 6, 7, 8, and 11 hou

rs. What is the range of the data set?
Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Answer:

8

Step-by-step explanation:

The range of the data set is determined by the maximum - minimum.

The max value is 11

The min value is 3

11-3=8

The range of the data set is 8.

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Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-
Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

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2 years ago
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