Answer:
32.9%
Step-by-step explanation:
14,000-10,528=3,472
3,472/10,528=0.32978723
Idk what your supposed to round to, but I put 32.9%
It's not specific enough to solve...so far it would only be f(3)
Answer:
The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
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 z-score that has a p-value of
.
427 had paid for coaching courses and the remaining 2733 had not.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
Answer:
a) 
b) 
Step-by-step explanation:
Polar coordinates are represented as:
, where 'r' is the length (or magnitude) of the line, and '
' is the angle measured from the positive x-axis.
in our case:

to covert the polar to cartesian:


we can plug in our values:


the Cartesian coordinates are:


(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'



the angle can be found by:




to convert radians to degrees:

writing in polar coordinates:

90 is the LCM of 30 and 45