66.6 is the answer for this onel
Answer:
Hence the best estimate is population with correct option is 74% and
the value for x=148
Step-by-step explanation:
Given:
A sample of 200
Of which 148 prefer brand new coffee
To Find:
Which statement is true?
Solution:
n=200
x=148
remaining 52 prefer old ones .
So estimate population proportion,
p=x/n
p=148/200
p=0.74
p=74 %
Now, when x=52
p=x/n,
p=52/200
p=0.26
p=26%
There is no option for 52 and 24 %
Hence x=148 and p=74%.
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

Answer
- g(x) = x+4
- Therefore the value of k is 4.