Answer:
1/2, 2/4
Step-by-step explanation:
4/8 = (2/4) =1/2 (if you divide up and down by the same number)
so 4/8 = 1/2
next, let's simplify the choices we have: (1/5) (2/6) (1/4) (1/2) (2/4)
1/5 is already simplified
2/6 = 1/3
1/4 is already simplified
1/2 is already simplified
2/4 = 1/2
Which of these is equal to 4/8 (aka 1/2)?
Answer: 1/2 and 2/4
Answer:
P(H) = 13 ÷ 52
Step-by-step explanation:
The computation of the probability that the first card be the heart is given below:
We assume that each and every card in the deck would be likely to be the first card
Here we assume the Hi that represent the first card drawn be the heart
NOw
P(Hi) = 1 ÷ 52 for
1 < = i < =13.
The H event would be represent as the disjoint union
H = H1 U H2 U.....U H13
P(H) = 13 ÷ 52
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.
Answer:
x = 200.674
Step-by-step explanation:
tan∅ = opposite/adjacent
Step 1: Find length of <em>z</em>
tan70° = 119/z
ztan70° = 119
z = 119/tan70°
z = 43.3125
Step 2: Find length <em>z</em> + <em>x </em>(denoted as <em>y</em>)
tan26° = 119/y
ytan26° = 119
y = 119/tan26°
y = 243.986
Step 3: Find <em>x</em>
y - z = x
243.986 - 43.3125 = x
x = 200.674
Answer:
y
Step-by-step explanation:
