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: 1:6
Step-by-step explanation: if the die is 6-sided then the probability of it landing on one certain side is 1 out of those six sides.
Answer:
6300 will if hank buys 9 kites
Answer:
its 1/3
Step-by-step explanation:
its because the chances of rolling every single type of roll, (such as 1 and 1, 1 and 2, 1 and 3, etc. is well around 36 possibilities. SIMPLIFIED into 1/3.
Answer:
X = 2 or X = -10
Step-by-step explanation:
We know either3x+12=18or3x+12=−18
3x+12=18(Possibility 1)
3x+12−12=18−12(Subtract 12 from both sides)
3x=6
3x
3
=
6
3
(Divide both sides by 3)
x=2
3x+12=−18(Possibility 2)
3x+12−12=−18−12(Subtract 12 from both sides)
3x=−30
3x
3
=
−30
3
(Divide both sides by 3)
x=−10
Answer:
x=2 or x=−10
