Answer:
Remember the interior and exterior angle add up to 180°.
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:
3
Step-by-step explanation:
So the diagram shows the weight of each puppy in pounds.
Each dot is a puppy.
The first dot is at 1/4 pounds meaning you have one dog that weights that much.
At the other end, you have 3 dots at 3/4 pounds meaning you have one dog that weights that much.
The heaviest puppy is 3/4 and the lightest is 1/4.
So dividing 3/4 / 1/4 = 3/4 * 4 = 3.
So 3 times as great
Answer:
302
Step-by-step explanation:
420(grams per sec)x60(seconds in a min) = 25,200(grams per min)
25,200x60(min in an hour) = 1,512,000(grams an hour)
1,512,000/1,000(grams in a kilogram) = 1,512 (kilograms per hour)
1,512/20 (size of bag) = 75.6 (bags filled per hour)
75.6x4(hours elapsed asked by the question) = 302 bags completly filled in 4 hours
Yes, because it could maintain the flow of traffic efficiency. It would lessen the chances of car accidents because it would leave less room for user error
