<h3>
Answer: n = 9</h3>
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Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
- 30+n = 30+0 = 30
- n/3 = 0/3 = 0
- sqrt(n+16) = sqrt(0+16) = 4
The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
- 30+n = 30+9 = 39
- n/3 = 9/3 = 3
- sqrt(n+16) = sqrt(9+16) = 5
We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
Answer:
5 months
Step-by-step explanation:
Set up an inequality, using x to represent months.
(The 35 and 40 represent the cost per month, and you add the 100 and 75 just once because it's a one-time fee and not monthly)
35x + 100 < 40x + 75
Now solve for x.
5x > 25
x > 5
This means that the membership will be less expensive after 5 months.
