The minimum value is 18.55 and the maximum value is 18.64. When rounding to one decimal place, you must look at the number two places after the decimal. If this is bigger than 5 round up and lower than 4 round down.
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Using the z-distribution, it is found that the 90% confidence interval for the true proportion of club members who use compost is (0.392, 0.508).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.645.
The estimate and the sample size are given by:
Hence, the bounds of the interval are:
More can be learned about the z-distribution at brainly.com/question/25890103
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We will use the Binomial probability formula to find the answer
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ
We have
n, the number of trial = 16
x, the sample we aim to try = 7
p, the probability of success = 0.5
Substitute these values into the formula
P(7) = ¹⁶C₇ (0.5)⁷ (1-0.5)¹⁶⁻⁷
P(7) = 0.1746 (rounded to four decimal places)
6 · (10 + 2) + (10 − 2) = 80
1. You got it right.
4π/9 x 180/π = 80°
2. To get a coterminal angle you start with your angle and then you add or subtract 360° (one cycle around the circle).
-123+360+360 = 597°
-123-360 = -483°
3. The angle is 215° from the point (1,0) on the unit circle. The angle 215° is between 180° and 270° so it is in quadrant 3.
