Answer: a) Required minimum sample size= 219
b) Required minimum sample size= 271
Step-by-step explanation:
As per given , we have
Margin of error : E= 5% =0.05
Critical z-value for 90% confidence interval : 
a) Prior estimate of true proportion: p=28%=0.28
Formula to find the sample size :-
Required minimum sample size= 219
b) If no estimate of true proportion is given , then we assume p= 0.5
Formula to find the sample size :-
Required minimum sample size= 271
Answer:
] y=x-4
-2x+y=18
y - x = -4
y - 2x = 18
equation [2] for the variable y
[2] y = 2x + 18
// Plug this in for variable y in equation [1]
[1] (2x+18) - x = -4
[1] x = -22
// Solve equation [1] for the variable x
[1] x = - 22
// By now we know this much :
y = 2x+18
x = -22
// Use the x value to solve for y
y = 2(-22)+18 = -26
Step-by-step explanation:
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Luis earns a solid $150 and that doesn't change, now you need to calculate 14% of $6,050.
x=150+(0.14x6050)
150+(847)
997
Luis was paid $997.
The angle immediately below x makes up the third angle of the isosceles triangle whose base angles are 55°. That third angle and x are "vertical" angles, hence equal. The value of x can be found from the sum of angles of a triangle:
x + 55° + 55° = 180°
x = 70°
The appropriate choice is the 2nd one:
70°
For 61 you can change it to √25/√49. √25=5 and √49=7 so it would simplify to 5/7.
