Answer:
w(0) = 1
Step-by-step explanation:
If w(0) is true, replace all x in the equation with 0 and then solve
w(0) = 5^2(0) + 1
w(0) = 25(0) + 1
w(0) = 0+1
w(0) = 1
We are given the exponential expression f(x) = Ca^x that should pass through the points (0,4) and (3,32). In this case, we first substitute the first point, (0,4) to the function to yield 4 = Ca ^0; hence Ca is equal to 4. The final expression hence is f(x) = 4^x
Answer:
Null hypothesis: 
Alternative hypothesis: 
So we need to conduct a:
D. A two-sample z-test for a difference in population proportions
Because the idea is to check if the population proportions in the states are similar or not.
Step-by-step explanation:
For this case they are trying two proof if there is a significant difference between two states in the percents of high school students who order yearbooks, and we chan check this with the difference of proportions.
Lets say that
are the two proportions of interest and we want to check the following hypothesis:
We have the following info given:
proportion of students that had ordered a yearbook from one state
proportion of students that had ordered a yearbook from another state
sample size from one state
sample size from another state
Null hypothesis: 
Alternative hypothesis: 
So we need to conduct a:
D. A two-sample z-test for a difference in population proportions
Because the idea is to check if the population proportions in the states are similar or not.
Answer:
Step-by-step explanation:
The given equation is:

Simplifying the above equation, we get



therefore, the equation
matches with (B)
.
The given equation is :

Simplifying the above equation, we get



therefore, the equation
matches with (D) 
The given equation is:

Simplifying the above equation, we get



therefore, the equation
matches with (A)
.
The given equation is:

This equation ca't be firther simplified or factorised, thus the equation
matches with (C) Prime.