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 = 6
sample proportion: signified by ρ
Sample 1: 4 → 4/6 = 0.67
Sample 2: 1 → 1/6 = 0.17
Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρ
Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211
Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411
Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6
Sample 1: 0.2211/6 = 0.03685
Sample 2: 0.1411/6 = 0.02352
Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.
Sample 1: √0.03685 = 0.1919
Sample 2: √0.02352 = 0.1534
Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error
Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error
Answer:
the answer is on photomath
Answer:
A
Step-by-step explanation:
To write the equation of the line. first calculate the slope using the slope formula.
Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0
Answer:
A. −4 + 4 = 0
Step-by-step explanation:
-4 + 4 = 0
4 - 4 = 0
So option A will be the answer
Answer:
Step-by-step explanation:
vertex and focus are horizontally aligned, so parabola is horizontal.
focal length p = distance between focus and vertex = 0.25
focus lies to the left of vertex, so the parabola opens to the left.
x = a(y-k)² + h,
vertex (h,k)
a = -1/(4p)
vertex (-6,5)
h = -6
k = 5
p = 0.25
a = -1/(4·0.25) = -1
x = -(y-5)² - 6
