Answer:
$1.04
Step-by-step explanation:
8% of 13 is 1.04
The answer is A according to the answer and the sheet
Answer:
C. -4n + 8
Step-by-step explanation:
Try the formulas and see which works.
__
The common difference is -4, so the coefficient of n in the explicit formula is -4. Every term is divisible by 4, so there won't be 3 anywhere in the formula.
__
-4·1 +8 = 4
-4·2 +8 = 0
-4·3 +8 = -4
-4·4 +8 = -8
The formula -4n+8 reproduces the sequence exactly.
7 + 14
7(1 + 2)
44 - 11
11( 4 - 1)
18 - 12
6(3 - 2)
70 + 95
5(14 + 19)
60 - 36
12(5 - 3)
100 - 80
20(5 - 4)
Answer:
0.1274
Step-by-step explanation:
Let X be the random variable that measures the number of children who get their own coat.
Then, the expected value of X is
E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)
The probability that a child gets her or his coat is
P(X=1) = 1/10
To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is
P(X=2) = 8!/10! = 1/(10*9) and
2P(X=2) = 2/(10*9)
Similarly, we can see that the probability that 3 children get their own coat is
P(X=3) = 7!/10! = 1/(10*9*8) and
3P(X=3) = 3/(10*9*8*7)
and the expected value of X would be
E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274
