Answer:
7/23
Step-by-step explanation:
There seven black socks and all of the socks together is 23.
Answer:
no
yes
no
yes
Step-by-step explanation:
x input repeats - 3
x input doesn't repeat
x input repeats -4
x input doesn't repeat
Answer:
75 pieces
Step-by-step explanation:
1. determine how many pieces per ounce by dividing 45 by 6 (# of pieces in a 6 oz bag)
45/6= 7.5 pieces per ounce
2. multiply 7.5 (for one ounce) by 10
7.5*10 = 75
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.
Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:

Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:

Add 10x to both sides:

Make two groups for variable "x" and variable "y":

Complete the square:
Add
inside the parentheses of "x".
Add
inside the parentheses of "y".
Add
and
to the right side of the equation.
Then:

Rewriting, you get that the equation of the circle in center-radius form is:

You can observe that the radius of the circle is:

And the center is:
