Solution:
we are given that
we have been asked to find f(x).
we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.
we can re-write the given function as below
Hence the expression representing f(x) is f(x)=4x+3.
Answer:
The margin of error is 30.22
Step-by-step explanation:
Sample size 19(lesser than 30), and we only have the sample standard deviation. So we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 19 - 1 = 18
Now, we have to find a value of T, which is found looking at the t table, with 18 degrees of freedom(y-axis) and a confidence level of 0.995(). So we have T = 2.878
The margin of error is:
M = T*s = 10.5*2.878 = 30.22