Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
It would be 64 because x equals 2. Y=3
The correct answer is letter C.
The reason is because there are 12 cake donuts out of the 36 total. This is a simple ratio of 1 to 3. This means one out of every 3 people would get a cake donut. If there are 12 people, this is 4 groups of 3, so one person from each group of 3 is 4 people.
Hey there!
This is an example of conditional probability, or P(A | B). Let's say that the probability of a child eating cake is event A, and the probability of them eating cookies is event B.
Conditional probability (A, given that B has occurred) can be represented and found by the following equation:
P(A | B) = P(A ∩ <span>B)/P(B)
</span>P(A ∩ B) is the probability of a child eating both cake and a cookie. This is also the middle of the venn diagram you were given. P(B) is simply the probability of event B happening, which, as we established, is eating a cookie. <span>
</span>P(A | B) = P(A ∩ B) / P(B)
P(A | B) = 0.1 / 0.5
P(A | B) = 0.2
There will be a 0.2, or 20%, chance that a child will eat cake, given that they've eaten a cookie.
Sorry for the late response, but I hope this still helped you out!
