Answer:
Between 15.95 ounces and 16.15 ounces.
Step-by-step explanation:
We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:
m = 16.05
sd = 0.1005
n = 4
We apply the formula of this case, which would be:
m + - 2 * sd / (n ^ 1/2)
In this way we create a range, replacing we have:
16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505
16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495
Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.
Answer:
Step-by-step explanation:
Let the sides be a, b and c.
<h3>Given</h3>
The length of one side of a triangle is 2 feet less than three times the length of its second side
The length of the third side is 3/4 of the sum of the lengths of the first two sides:
The perimeter of the triangle is 17.5 feet:
<h3>Solution</h3>
Substitute a with b in the second equation:
- c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5
Now substitute a and c with b in the third equation and solve for b:
- 3b - 2 + b + 3b - 1.5 = 17.5
- 7b - 3.5 = 17.5
- 7b = 17.5 + 3.5
- 7b = 21
- b = 3
Find the value of a:
- a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7
Find the value of c:
- c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5
The sides of the triangle are:
- a = 7 feet, b = 3 feet, c = 7.5 feet
Answer:
1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64
2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21
Step-by-step explanation:
1. Maximize: P = 4x +4y
Subject to: 2x + y ≤ 20
x + 2y ≤ 16
x, y ≥ 0
Plot the constraints and the objective function Z, or P=4x+4y)
Push the objective function to the limit permitted by the feasible region to find the maximum.
Answer: Objective function is a maximum at (16,0),
Z = 4x+4y = 4(16) + 4(0) = 64
2. Maximize P = 3x + 2y
Subject to x + y ≤ 8
2x + y ≤ 13
x ≥ 0, y ≥ 0
Plot the constraints and the objective function Z, or P=3x+2y.
Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.
Answer: Objective function is at a maximum at (5,3),
Z = 3x+2y = 3(5)+2(3) = 21
Answer: 136 is your answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
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