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
Let x represent the answer.
7 + x = (43+x) / 3
3(7+x) = 43+x
21+3x = 43+x
2x = 22
x = 11
The answer is 11
Answer:
83
Step-by-step explanation:
Answer:
x = 98
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 53+45
x = 98
Answer:
Step-by-step explanation:
high temperature - low temperature = 25
high temperature - (-8) = 25
{when subtracting negative numbers, we have to add the additive inverse of (-8). Additive inverse of (-8) is 8}
high temperature + 8 = 25
{Subtract 8 form both the sides}
high temperature +8 - 8 = 25 - 8
high temperature = 25 - 8
high temperature = 17 degree Fahrenheit
