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:
-1280
Step-by-step explanation:
There are 2 ways you could do this. You could just do the question until you come to the end of f(4). That is likely the simplest way to do it.
f(1) = 160
f(2) = - 2 * f(1)
f(2) = -2*160
f(2) = -320
f(3) = -2 * f(2)
f(3) = -2 * - 320
f(3) = 640
f(4) = - 2 * f(3)
f(4) = - 2 * 640
f(4) = - 1280
I don't know that you could do this explicitly with any real confidence.
Answer:
x = -5
y = 4
Step-by-step explanation:
3x + 4y = 1 /*(-4)
4x + 5y = 0 /*3
---------------------
-12x - 16y = -4
12x + 15y = 0 +
---------------------
-y = -4
y = 4
---------------------
12x = -15y
12x = -60
x = -5
---------------------
Answer:
y/x
Step-by-step explanation:
If x is proportional to y, then:
y = kx, where k is a constant
This can be rearranged to give:
k = y/x
As mentioned, k is a constant, therefore, the answer is y/x
