Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence 
The margin of error (E) is:

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
Answer: p^2 + q^2 = r^2
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2
P = a (leg)
q = b (leg)
r = c (Hypotenuse)
Answer:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w =
← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 =
( multiply both sides by 25 )
200 = k
w =
← equation of variation
When w = 20 , then
20 =
( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10