Answer: a. n= 1068
b. n= 164
Step-by-step explanation:
The formula to find the sample size :

, where p=prior population proportion , z* = critical z-value and E = Margin of error.
Here , let p=proportion of computers that use a new operating system.
Given : Confidence level = 95%
i.e. z* = 1.96 [by z-table]
Margin of error : E = 3% =0.03
a. If p is unknown , then we assume p=0.5
Then, 
i.e. n= 1068
b. p=0.96
Then, 
i.e. n= 164.
Set up both fractions as equal to each other then cross multiply to solve for x!
The picture will guide you through the process
The slope (or average rate of change) formula is:

. It is easy to remember as "slope is easy and fun, rise over run" where the y-values of the 2 points would be the "rise" and the x-values of the 2 points would be the "run" So with two points, you label one point as

and the other as

. Then you insert these points into the slope formula (m represents slope). So,

where (-3,6) is x2 and y2 and (5,1) is x1 and y1. It would simplify to

.
Answer:
as in the question it is given that 50 people liked both songs 40 liked folk songs and 80 liked none of the song so we can add the number of people
50+40+80
170
Step-by-step explanation:
the people involved in the survey were 170
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,

Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,


Therefore, The amount of interest is $5580.