Answer:
a) 0.172
b) 0.167
c) 0.1404
Step-by-step explanation:
Margin of error, E = 
here,
p = probability of the event
n = sample size
a) n = 30
p = 10 ÷ 30 = 0.333
Therefore,
E = 
= 2 × 0.0861
= 0.172
b) n = 30
p = 21 ÷ 30 = 0.7
Therefore,
E = 
= 2 × 0.0836
= 0.167
c) n = 30
p = 22 ÷ 50 = 0.44
Therefore,
E = 
= 2 × 0.0702
= 0.1404
Center will be (6,-4) and the radius will be square root of 7
Answer:
2y = 3x + 21
y = 1.5x + 10.5
plug in, in the second equation
- 4x + (1.5x + 10.5) = 23
-4x + 1.5x + 10.5 = 23
-2.5x + 10.5 = 23
-2.5x = 12.5
x = 12.5/-2.5 = -5
y = 1.5 (-5) + 10.5 = 3
x = -5
y = 3
Just find the inverse cosine of 1 which is 0 degrees.