change to improper fractions
77 1/2 = 145/2
2 1/4 = 9/4
divide
145/2 divide 9/4
copy dot flip
145/2 * 4/9
580/18
290/9
32 2/9
it will fit into 32 bags with 2/9 left over
We have 32 full bags * 2.25 = $72.00
Answer:
<h2>
x = 90° - 30° = 60°</h2>
Step-by-step explanation:
Angles CGE and 30° are vertical angles.
Thus, Angle CGE is thus 30°.
Angle CGE and Angle x are complementary, so x = 90° - 30° = 60°
Answer:
The expected volume of the box is 364 cubic inches.
Step-by-step explanation:
Since the die is fair, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. Let Y represent the volume of the box in cubic inches. For how the box is formed, Y = X²*24. Thus, the value of Y depends directly on the value of X, and we have
- (When X = 1) Y = 1²*24 = 24, with probability 1/6 (the same than P(X=1)
- (When X = 2) Y = 2²*24 = 96, with probability 1/6 (the same than P(X=2)
- (When X = 3) Y = 3²*24 = 216, with probability 1/6 (the same than P(X=3)
- (When X = 4) Y = 4²*24 = 384, with probability 1/6 (the same than P(X=4)
- (When X = 5) Y = 5²*24 = 600, with probability 1/6 (the same than P(X=5)
- (When X = 6) Y = 6²*24 = 864, with probability 1/6 (the same than P(X=6)
As a consequence, the expected volume of the box in cubic inches is
E(Y) = 1/6 * 24 + 1/6*96 + 1/6*216+ 1/6*384+ 1/6*600+1/6*864 = 364
Answer:
2
Step-by-step explanation:
<em>196/49=4</em>
<em />
<em>=2</em>
hope this helped
have a great day!!
