Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
37% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So
Rounding up:
A sample size of 1031 is required.
First, make up some variables to represent the number of Girls and Boys in the choir.
B = number of boys
G = number of girls
You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
If you cross-multiply, then you get the simplified equation:
G = 4B
Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.
Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60
To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12
However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48
The number of girls you have is 48.
x-intercept is 6, coordinates (6,0)
y-intercept -4, coordinates (0,-4)
gradient= y1-y2/x1-x2= 0-(-4)/6-0= 4/6= 2/3 or 0.667 (3.s.f.)
Answer:
9
Step-by-step explanation: 3x4= 12 -3=9
Answer:
D. 1 1/2 feet
Step-by-step explanation:
<u>Multiply the numbers to find the length of wire used.</u>
- 2 1/2 × 3/5 =
- 5/2 × 3/5 =
- 3/2 =
- 1 1/2 feet
Correct choice is D
