Answer:
g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Step-by-step explanation:
Let y = 1/3 x - 7
1/3 x = y + 7
Multiply both sides by 3:
x = 3(y + 7)
So the inverse of g(x) = g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:
In which 
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Answer:
Option D
Step-by-step explanation:
The compounded interes formula states that:
V(t) = P (1 + r/n)^ (nt)
t = years since initial deposit = 3
n = number of times compounded per year 1
r = annual interest rate (as a decimal) = 4% / 100 = 0.04
P = initial (principal) investment = $500
Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43
So the correct answer is option D.
This would just look like a bar graph.
On the horizontal axis, put your 4 different categories of 2, 3, 4, or 5.
On the vertical axis, label it by the percents: 0.10, 0.20, 0.30, 0.40
Then, make a bar at the correct height for each category.
