the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
Answer:
Step-by-step explanation:
Given that X is the number of months between successive payments
Cumulative distribution function of X is
a) PMF of x would be
b) 
Answer:
Table shown below
Step-by-step explanation:
Table shown below
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds
Answer:
Yes :)
Step-by-step explanation:
Answer:
let t = no of minutes when they are at the same altitude
:
52200 - 3300t = 2500t
52200 = 3300t + 2500t
52200 = 5800t
t = 52200/5800
t = 9 minutes they will be at the same altitude
:
The altitude:
9*2500 = 22500 ft
:
Check on other train
52200 - 9(3300) =
52200 - 29700 = 22500 ft
