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
Answer:
The measure of ∠A is 127°.
Step-by-step explanation:
The interior angles of a triangle always add up to 180°. Since you can fix <em>three</em> triangles into a pentagon, the sum of its interior of angles is 540° You could also look at how many angles there are (5), multiply that number by 180°, then subtract 360° from the product.
540° - (113° + 80° + 130° + 90°) = ∠A
540° - 413° = 127°
∠A = 127°
<em>Hope this helps,</em>
<em>~ Nicki ~</em>
<h3>
<u>Answer:</u></h3>

<h3>
<u>Step-by-step explanation:</u></h3>
Two points are given to us and we need to find the slope of the line . The slope of the line passing through points
is given by ,
Here , the points are ,

<h3>
<u>★</u><u> </u><u>Hence </u><u>the</u><u> </u><u>slope</u><u> </u><u>of</u><u> the</u><u> </u><u>line</u><u> </u><u>join</u><u>ing</u><u> </u><u>the </u><u>two</u><u> </u><u>points</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u>5</u><u>/</u><u>2</u><u>1</u><u> </u><u>.</u></h3>
Answer:
A(4, 2) B(1;2)
Step-by-step explanation:
You need the compound interest formula solved for time:
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (9,000 / 5,960.32) / 2 * log (1 + .042/2)
Years = log (
<span>
<span>
<span>
1.509986041</span></span></span>) / 2 * log (1.021)
Years = 0.1789729325 / 2 * 0.0090257420869
Years =
<span>
<span>
</span></span><span><span><span>0.1789729325 / 0.0180514842
</span>
</span>
</span>
<span><span><span>Years =
9.9145826746
</span>
</span>
</span>
the answer is "d"
Source:
http://www.1728.org/compint.htm