According to the empirical rule, roughly 68% of the scores fall between z = -1 and z = 1
You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)
Answer:
Step-by-step explanation:
1. 
2. 
3. b =
Can't be simplified.
Answer: 
Step-by-step explanation:
1. Substitute 
into first equation and solve for "x" in order to find the x-intercept of the first line:
2. Substitute 
into the first equation and solve for "y" in order to find the y-intercept of the first line:
Knowing that first line passes through the points 
and 
, you can graph it.
3. Substitute into second equation and solve for "x" in order to find the x-intercept:
4. Substitute into the second equation and solve for "y" in order to find the y-intercept of the second line:
Knowing that second line passes through the points 
and 
, you can graph it.
The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:
Answer:
spend 8 bucks on cats then left over for the dog
Step-by-step explanation:
<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
