Answer:
85M + 4S <u><</u> 1000
Step-by-step explanation:
An inequality represents an expression that can have different values as long as the value is within the range given. In this case, the number of songs and movies that Caissa can download can not exceed 1000 MB. Since each move is 85 MB and each song is 4 MB, then any combination of these two files combined must not be larger than 1000 MB. Using the variable (M) for movies and (S) for songs, we can set up an expression 85M + 4S to represent the number of movies times 85 for each movie and the number of songs times 4 for each song. Since the total can be no greater than 1000, the expression would be less than or equal to (<u><)</u> 1000 MB.
Answer:
In the long run, ou expect to lose $4 per game
Step-by-step explanation:
Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.
Assuming X be the toss on which the first head appears.
then the geometric distribution of X is:
X
geom(p = 1/2)
the probability function P can be computed as:

where
n = 1,2,3 ...
If I agree to pay you $n^2 if heads comes up first on the nth toss.
this implies that , you need to be paid 

![\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7Bn%7D_%7Bi%3D1%7D%20n%5E2%20P%28X%3Dn%29%20%3DVar%20%28X%29%20%2B%20%5BE%28X%29%5D%5E2)
∵ X
geom(p = 1/2)








Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6
= $4
∴
In the long run, you expect to lose $4 per game
Answer:
135
Explanation:
Substitute 3 and 9 for a & b
5(3)(9)
= 135
X^0=1
5^0=1
1^n=1
answer is 1^4 and 5^0
Answer:
30 bracelets
Step-by-step explanation:
she could make 6 in 1 hour so 18 bracelets in 3 hours plus 12 bracelets in 2 hours which equals 30 bracelets.
6(3+2)=x
x=30