Answer:
D
Step-by-step explanation:
to show the general direction of the graph, we should find the end points and one in the middle, lets see what happens why x is -4, 0, and 4. when x=-4, it is 16*-3/4 (which is negetive), when x is 0, y is 0, and when x is 4, the same this happens in the first number. If these points are plotted, it is shown as a parabola pointing downwards. The max is will be is 0. because before 0, the numbers are negetive in the y axis, and after they are negetive in the y axis, and it tops out at y=0 when x=0. Therefore Y is smaller than or equal to 0, or D.
Partition the set A into 4 subsets:
{1, 8}, {2, 7}, {3, 6}, and {4, 5},
each consisting of two integers whose sum is 9. If 5 integers are selected from A,
then by the Pigeonhole Principle at least two must be from the same subset. But
then the sum of these two integers is 9.
'll use the binomial approach. We need to calculate the probabilities that 9, 10 or 11
<span>people have brown eyes. The probability that any one person has brown eyes is 0.8, </span>
<span>so the probability that they don't is 1 - 0.8 = 0.2. So the appropriate binomial terms are </span>
<span>(11 C 9)(0.8)^9*(0.2)^2 + (11 C 10)(0.8)^10*(0.2)^1 + (11 C 11)(0.8)^11*(0.2)^0 = </span>
<span>0.2953 + 0.2362 + 0.0859 = 0.6174, or about 61.7 %. Since this is over 50%, it </span>
<span>is more likely than not that 9 of 11 randomly chosen people have brown eyes, at </span>
<span>least in this region. </span>
<span>Note that (n C r) = n!/((n-r)!*r!). So (11 C 9) = 55, (11 C 10) = 11 and (11 C 0) = 1.</span>
17.9/2.38
= 7.5.
Hope this helps & good luck. :)
