Answer:
the answer to it is A. 75
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
2 green spaces, 2 star spaces, 2 question mark spaces
6
Step-by-step explanation:
Step 1:
Let Rachel scored 33 points in total
Let a be the 1 point and b be the 2 point.
a = 21 points scored by 1 point. We want to find b
Step 2:
a+b=33
b= 33-a
= 33-21
= 12
b=12 points which means 6 double points
Answer: 16 2/3%
Step-by-step explanation:
Given that:
Shape are either square or circle with both equally likely :
Hence,
P(square) = 1/2 ; P(circle) = 1/2
Color are either blue, red or green with the three equally likely ;
P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3
Probability of creating a green circle :
Independent probability
P(green n circle) = p(green) * p(circle)
P(green n circle) = 1/3 * 1/2
P(green n circle) = 1/6
= 0.16666
(0.16666 * 100%) = 16.6666%
= 16 2/3%
