Answer:
25 rounds
Step-by-step explanation:
Let
x -----> the number of rounds of golf
y ---> total charges to play
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
<em>Membership</em>
----> equation A
The slope is m=$35 per round
The y-intercept b=$500 (annual membership fee)
<em>Non-Membership</em>
----> equation B
The slope is m=$55 per round
The y-intercept b=$0
Equate equation A and equation B

solve for x



For x=25 rounds the cost to be the same with and without a membership
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
n = 1200
x = 32% of 1200
So, 
We need to find 95% confidence interval.
so, z = 1.96
So, margin of error would be

So, Interval would be

Hence, Option 'c' is correct.
Answer:

Step-by-step explanation:
(4/3)P -(4/3)A + A = B . . . . . . add A
(4P -A)/3 = B . . . . . . . . . . . . . simplify
Then the coordinates of point B are ...
B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3
B = (3, 7)
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The margin of error is 
Given that the confidence level is 95% the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table , the values is

The reason we are obtaining critical value of
instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
Generally the margin of error is mathematically represented as

substituting values




=> 