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
24 ways would be your answer<span />
Answer:
gay
Step-by-step explanation:
i mean it starts with a g doesnt it?
Hey there mate ;)
Note that the quadratic function
A(x) = x(100-2x) gives the area.
Now, this equation is equivalent to:
A(x) = 100x - 2x²
To find maximum value of A, we first find the derivative of the given function:

Now find the critical value by setting dA/dx=0, that is:-

Solving for x, we get:

Hence, the critical point is x=25
Now, Find 2nd derivative to check if the equation has maximum value:

Noting that the 2nd derivative is negative, hence, we have a maximum value. Infact, the maximum value in this case is when the value of x = 25.
The maximum area is therefore,

→ The Correct answer is:
