Answer:
n = 61 costumers
Step-by-step explanation:
For calculating the number of costumers he should sample we use the next equation:
![n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7Bz_%7B1-%5Calpha%2F2%7D%5E%7B2%7Dp%281-p%29%7D%7BE%5E%7B2%7D%20%7D)
Where E is the error that we are prepared to accept, in this case E = 0.15
How we don't know the value of p, we can estimate it like p = 0.5
∝ = 1-0.98 = 0.02
1-∝/2 = 0.99
![z_{0.99} = 2.33](https://tex.z-dn.net/?f=z_%7B0.99%7D%20%3D%202.33)
![n = \frac{(2.33^{2})(0.5)(1-0.5)}{0.15^{2} }](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B%282.33%5E%7B2%7D%29%280.5%29%281-0.5%29%7D%7B0.15%5E%7B2%7D%20%7D)
n = 60.32 costumers
n ≈ 61 costumers
Answer:
B = 40° and D = 60°
Step-by-step explanation:
Just subtract the angles you already know from 90° (since perpendicular means right angle, which is 90°).
x=-6+2y
x=2+2y
by subtraction
___________________________
x=-8
Substitute x by one of the two equations :
x=-6+2y
-8=-6+2y
2y=-8+6
2y=-2
y=-2/2
y=-1
I think this is the answer
I hope I helped you^_^
Answer:
Option C
Z=8
Step-by-step explanation:
5z-8=32
Rearranging the equation
5z-8+8=32+8
5z=40
Z=40/5
Z=8
Answer:
Step-by-step explanation:
g(x) is vertical translation of f(x) by -12 units