Math
To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49, with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?
A. It is plausible that the proportion is between 0.45 and 0.53.
B. It is plausible that the proportion is less than 0.45.
C. The proportion is exactly 0.49.
D. It is plausible that the proportion is greater than 0.53.
Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?
A. Decreasing exponential
B. Decreasing linear
C. Increasing exponential
D. Increasing linear
Which of the following are solutions to the given equation, where a is a constant and a>30?
I. a
II. a+1
III. 29
A. I and II only
B. I and III only
C. II and III only
D. I, II, and III
______________
The function f is defined by f(x) = (x - 6)(x - 2)(x + 6). In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) up 4 units. What is the value of g(0)?
______________
A cube has a volume of 474,552 cubic units. What is the surface area, in square units, of the cube?
_____________
y < 6x + 2
For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
A.
x | y |
|---|---|
3 | 20 |
5 | 32 |
7 | 44 |
B.
x | y |
|---|---|
3 | 16 |
5 | 36 |
7 | 40 |
C.
x | y |
|---|---|
3 | 16 |
5 | 28 |
7 | 40 |
D.
x | y |
|---|---|
3 | 24 |
5 | 36 |
7 | 48 |
53x + p)(5x2 - 45)(2x2 - 16x + 16p) = 0
In the given equation, p is a positive constant. The sum of the solutions to the equation is 20/3. What is the value of p?
_______________
f(x) = 9(4)x
The function f is defined by the given equation. If g(x)=f(x+2), which of the following equations defines the function g?
A. g(x) = 18(4)x
B. g(x) = 144(4)x
C. g(x) = 18(8)x
D. g(x) = 81(16)x
A window repair specialist charges $220 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is $400. Which function f gives the total cost, in dollars, for x hours of repair, where x ≥ 2?
A. f(x) = 60x + 100
B. f(x) = 60x + 220
C. f(x) = 80x
D. f(x) = 80x + 220
Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
A. 0
B. 1
C. 10
D. 23