9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can perform the division and look at the quotient and remainder to convert an improper fraction to a mixed number.
23 ÷ 6 = 3 r 5 ⇒ 23/6 = 3 5/6 ≠ 4 1/6
11 ÷ 4 = 2 r 3 ⇒ 11/4 = 2 3/4 ≠ 2 1/2
35 ÷ 4 = 8 r 3 ⇒ 35/4 = 8 3/4
15 ÷ 8 = 1 r 7 ⇒ 15/8 = 1 7/8
40 ÷ 12 = 3 r 4 ⇒ 40/12 = 3 4/12 = 3 1/3
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%)
To find the area of a trapezoid, it’s 1/2(base 1 + base 2) x height.
so in this case, base 1 is 16 (add 12+2+2) (the top one) and base 2 is 12 (the bottom one) and the height is 9.
you input all the values in the formula and you get 126in.
hope this helped:)
I believe there are 32000 ounces in a ton.
Answer in the attachment.
