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Given:250 sheep in a 40-acre pasture.Number of sheep grazing in each acre.
250/40 = 6.25 or 6 sheep per acre
n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of errorSample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error
Answer:
V = 3,386,880 cubic yards
V = 91445760 cubic feet
V = (1/3) · b2 · h so 1/3 x 756^2 x 480 = 91445760 ft^3
Answer = 91445760 ft^3
Step-by-step explanation:
converting feet into yards
let
1 yard = 3 ft
1 ft = (1/3) yard
a = 756 ft = 756*(1/3) yards the length of the side of the square base
h = 480 ft = 480*(1/3) yards the height of the pyramid
a.) the volume of the pyramid V = (a^2*h)/3 = (a^2*h)(1/3)
V = (756*(1/3))^2*480*(1/3)*(1/3)
V = 3,386,880 cubic yards
60 beats per minute is the answer
