Answer:
12
Step-by-step explanation:
The range is the difference from the greatest data point and the least data point. By looking at the box plot, the lowest value would be 0 while the highest would be 12. You use the definition of range to find it:
12 - 0 = 12
Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
<h3>

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We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by
which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
Answer:1) c. 5,9,13,17,21
2) a. a1=8, an=an-1 -2
Step-by-step explanation: 1) an=4n+1
⇒ a1=4×1+1=5
a2=4×2+1=9
a3=4×3+1=13
a4=4×4+1=17
a5=4×5+1=21
2) clearly a1=8 and then the terms of series are decreasing by 2
so, an=an-1 -2
Green or purple = 10
prob(green or purple) = 10/30 = 1/3