There are two bags: a bag with 4 blue marbles and 6 black marbles and another one containing 6 blue marbles and <span>6 black marbles. the probability of getting a blue marble in the first bag is 6/10 or 3/5 while that on the second bag is 6/12 or 1/2. Hence the total probability of getting two marbles is c. 3/10. </span>
Answer:
So you make a number line right, and make from 0 to 1. You would put 8 dashes between 0 and 1. Once you finished that, you would go to the third dash, and that will be 3/8 on a number line.
Step-by-step explanation:
I hope this helps! :)
Answer:
Step-by-step explanation:
A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:
x ≥ 2y . . . . . pumpkin acres are at least twice corn acres
x - y ≤ 10 . . . . the difference in acreage will not exceed 10
12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18
0 ≤ y . . . . . the number of corn acres is non-negative
__
B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...
P = 360x +225y
__
C) see below for a graph
__
D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.
So profit is maximized for 18 acres of pumpkins and 9 acres of corn.
Maximum profit is $360·18 +$225·9 = $8505.
The answer is r=16 you have to square everything