A simpler form of this expression would be 19y-9
Answer:
v = 16
Step-by-step explanation:
p = 8/v and p = 1/2. Equating these two, we get 8/v = 1/2.
Inverting both sides, we get v/8 = 2.
Find the vaue of v by multiplying both sides by 8: v = 16
Answer:
4 plants
Step-by-step explanation:
In this problem, we are given the total area of the garden, which is:
The number of plants that can fit inside the garden is given by the equation:
where:
n is the number of plants
a is the area of each plants
In this problem, the area of each plant is
Therefore, we can re-arrange the equation to find the number of plants that can fit:
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
