Answer:
P(A) = 0.1620 , P(A|B) = 0.0707
Step-by-step explanation:
Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20
P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620
P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576
P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)
(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707
Answer:
add me
Step-by-step explanation:
Answer:
360 mi^3
Step-by-step explanation:
The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values
solid 1
length = 11 - 4 = 7 mi
base area = length x width = 7 x 4 = 28 mi^2
V = base area x height = 28 x 6 = 168 mi^3
solid 2
base area = 8 x 4 = 32 mi^2
V = 32 x 6 = 192 mi^3
total volume: 168 + 192 = 360 mi^3
You find the unit rate of the books by dividing the number of books by the that price, and for this example the answer should be $.75 per book
Answer:
a. [L], [M]
b. 41, 42, 43
Step-by-step explanation:
<h3>a.</h3>
If x represents the smallest number, then the second number is (x+1) and the third number is (x+2). The sum is of the first number (x), 3 times the second number, 3(x+1), and 2 times the third number, 2(x+2). That sum can be written as ...
Total = x +3(x +1) +2(x +2) . . . . matches [L]
If we use the distributive property to eliminate parentheses, we get ...
Total = x +3x +3 +2x +4 . . . . . matches [M]
__
<h3>b.</h3>
Using the equation of [M], we have ...
253 = x +3x +3 +2x +4
246 = 6x . . . . . . . . . . . . . . . . collect terms, subtract 7 from both sides
41 = x . . . . . . . . . divide both sides by 6
The three consecutive numbers are 41, 42, 43.