b= 63 and that is your answer
Answer:
5
Step-by-step explanation:
there are five flat surfaces, if you could set a plate on it and eat, it's a flat surface
Answer:
well partner if ya look closely (or just not braindead) you can see that one is bigger and the other is smaller
Step-by-step explanation:
Answer:
<em>The employees will work for 1 hour, will earn $5 per hour and will be paid $5</em>
Step-by-step explanation:
<u>System of Equations</u>
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
Answer: a) 453 b) 1537
Step-by-step explanation:
As per given , we have
Margin of error : E= 0.025
Critical value for 95% confidence interval : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
a) The prior estimate of population proportion : p=0.08
Required sample size :-
![n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.08(1-0.08)(\dfrac{1.96}{0.025})^2\\\\=452.386816\approx453](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2%5C%5C%5C%5C%3D0.08%281-0.08%29%28%5Cdfrac%7B1.96%7D%7B0.025%7D%29%5E2%5C%5C%5C%5C%3D452.386816%5Capprox453)
The minimum sample size is 453 U.S. adults.
b) Since the prior estimate of population proportion is not available , so we take p= 0.5
Required sample size :-
![n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.025})^2\\\\=1536.64\approx1537](https://tex.z-dn.net/?f=n%3D0.5%281-0.5%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2%5C%5C%5C%5C%3D0.25%28%5Cdfrac%7B1.96%7D%7B0.025%7D%29%5E2%5C%5C%5C%5C%3D1536.64%5Capprox1537)
The minimum sample size is 1537 U.S. adults.