The bunnies total weight is 6.75lbs...
( Peter & Flopsy + Peter & Mopsy) - Flopsy&Mopsy = 2 of Peter's weight
(4.9+4.35) - 4.25 = 5 lbs
So Devided half 5÷2 = 2.5lbs Peter is 2.5 lbs
Then, 4.9(P&F) - 2.5 (Peter) = 2.4lbs Flopsy is 2.4lbs
4.35(P&M) - 2.5(Peter) = 1.85lbs Mopsy is 1.85lbs
Then, Add all bunnies weight.
2.5 + 2.4 + 1.85 =. 6.75lbs.
Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
1 on top and 4 on the bottom.
No
4.2 is greater than 4.05
basically 4.2 is 4.20 and so 4.05 is smaller
She will be $1.40 under budget.
8% = 8/100 = 0.08
Adding this to 100% of the price of the shoes, we get 108% = 108/100 = 1.08.
We multiply the price of the shoes by this:
45*1.08 = 48.60
Subtract this from 50:
50 - 48.60 = 1.40
