Answer:
The total number of samples that give this outcome is 5.
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that
implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that
. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.
Answer:
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Step-by-step explanation:
Answer:
120 miles in 4.8 hours
75 miles in 5 hours
Step-by-step explanation:
Ship:
The number f(x) of miles a ship is from its destination x hours after starting a voyage is given by f(x) = 120 - 25x. This means, initially the ship is 120 miles away from its destination.
If the ship traveled 120 miles, then f(x)=0 (the ship will be 0 miles away from its destination) and
0 = 120 - 25x
25x = 120
x = 4.8 hours.
Submarine:
At x = 0 hours the submarine was 75 miles away
At x = 5 hours, the submarine was 0 miles away.
So, in 5 hours the submarine traveled 75 miles
First, you would have to combine 3 1/2 and 4 3/4 pounds. That would be 8 and 1/4 lbs. If she used all but 1 3/8 lbs, you would have to do 8 1/4 minus 1 3/8. That means she used 7 1/8 lbs of fruit.
The equation would be 3/ 12 + 4 3/4 = 8 1/4 - 1/38 = 7 1/8.