5r=20 10p=100 14t=42
100+42+20=162
5r+10p+14t=$162
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
Step-by-step explanation:
Morgan 12 ras 12× 3 black Total 12×4 or 12 + 3 × 12 = 48 berries
Kendra picked 9 × Morgan's Total
Kendra picked (12 +(3 × 12)) × 9 = 48 × 9 = 432 berries
You first multiply $61 by .20(decimal form of 20%) and get $12.2
Since this is 20% off(that means it's less than the original price) so subtract 12.2 from $61=48.8
then add the tax so 48.8 by .05 =2.44
so 48.8+2.44
the final price is $51.24
