Vertical Asymptotes:
x=0
x=0
Horizontal Asymptotes:
y=0
y=0
No Oblique Asymptotes
<u>Given</u>:
Let the random variable x is normally distributed with mean
and 
We need to determine the probability of 
<u>Probability of </u>
<u>:</u>
The formula to determine the value of
is given by

Thus, we have;

Simplifying, we get;


Using the normal distribution table, the value of -2 is given by 0.0228

Thus, the value of
is 0.0228
9514 1404 393
Answer:

Step-by-step explanation:
Add 9 to both sides of the equation, and divide by the coefficient of B.
T = BA -9
T +9 = BA
(T +9)/A = B
We can rewrite that with B on the left:
B = (T +9)/A
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function

Have a look at the attached graph.
- The red portion represents the graph of the function
.
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is indeed a function.
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is a one-to-one function, as there is only one x-value for each y-value.
Therefore, we conclude that the function is one-to-one.
You should expect about 2400 successes because as a percent .4=40%