Answer:
$7.60
Step-by-step explanation:
Use a linear function (again)
let x = peanuts
let y = almonds
3x+4y=27.45
5x+2y=24.05
Multiple 2nd equation by 2
3x+4y=27.45
10x+4y= 48.1
7x=20.65
x=2.95
Plug in x into either equation
10x+4y= 48.1
29.5+4y=48.1
4y=18.6
y=4.65
4.65+2.95=7.60
Standard interior door height is 80 inches.
-2x + 2y + 3z = 0 → 2x - 2y - 3z = 0 → 2x - 2y - 3z = 0
-2x - 1y + 1z = -3 → 2x + 1y - 1z = 3 → 2x + 1y - 1z = 3
2x + 3y + 3z = 5 → 2x + 3y + 3z = 5 -3y - 2z = -3
-2x + 2y + 3z = 0 → 2x - 2y - 3z = 0
-2x - 1y + 1z = -3 → 2x + 1y - 1z = 3 → 2x + 1y - 1z = 3
2x + 3y + 3z = 5 → 2x + 3y + 3z = 5 → 2x + 3y + 3z = 5
-2y - 4z = -2
-3y - 2z = -3 → -6y - 4z = -6
-2y - 4z = -2 → -2y - 4z = -2
-4y = -4
-4 -4
y = 1
-3y - 2z = -3
-3(1) - 2z = -3
-3 - 2z = -3
+ 3 + 3
-2z = 0
-2 -2
z = 0
-2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
-2x + 2 + 0 = 0
-2x + 2 = 0
- 2 - 2
-2x = -2
-2 -2
x = 1
(x, y, z) = (1, 1, 0)
The probability is 0.337.
The probability that more than 3 prefer brand c is the same as finding the probability that 4 or 5 prefer brand c. Using a binomial distribution,
100% - 55.7%
= 100% - 55% - 0.70%
= 45% - 0.70%
= 44.30%
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This means that the probability of selecting a female student at random is 44.3% as a percentage.