We would need a sample size of 560.
We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.
The margin of error, ME, is given by:

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
X/3 - 38 = 42
x/3 = 80
x = 240
Black socks on monday - 3/9 or .33%.
white socks on tuesday - 5/9 or .55%
Explanation: Probability of black socks on Monday:
Total pair of socks: 1 + 3 + 5 = 9
Number of black socks on Monday: 3
3/9 = 1/3 (or divide to get a percentage)
Probability of white socks on Tuesday:
Total pair of socks: 9
Number of white socks on Tuesday: 5
5/9
Answer:
y = 2x - 3
Step-by-step explanation:
y - - 3 = 2(x-0)
y + 3 = 2x
y = 2x -3
Answer:
70%
Step-by-step explanation:
I'm sorry but I don't really know how to explain it other than 70% of 30 is 21 so that means that 30% of the students turned their essay in on time.
(sorry for not being able to explain it but I hope it helped)