Order of operations problem please help
2 answers:
You might be interested in
Answer:
The standard deviation is 11 points
Step-by-step explanation:
To calculated the z-score of a value x, we use the following equation:
Where m is the mean, s is the standard deviation and z is the z-score.
If we solve this equation for s, we get:
So, replacing z by 2, m by 153 and x by 175, we get:
Therefore, the standard deviation is 11 points
Answer:
- Stretching the parent function vertically .
- Shifting the parent function 5 units right.
Step-by-step explanation:
<h3>The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function
Below are some transformations for a function :
1. If , the function is shifted "k" units up.
2. If , the function is shifted "k" units down.
3. If , the function is shifted "k" units right.
4. If , the function is shifted "k" units left.
5. If and
the function is stretched vertically by a factor of "b".
6. If and
the function is compressed vertically by a factor of "b".
The exercise gives the following parent function:
And you know that the transformed function which represents the remaining time in minutes needed to fill the tank, is:
Therefore, based on the transformations explained before you can identify that the graph of the transformed function is created by:
- Stretching the parent function vertically.
- Shifting the parent function 5 units right.
To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:
Add 9 to both sides:
Square root both sides to get y by itself:
This equation can be simplified by taking the square root of 9 out of the root:
The inverse of this function is y = 3 + √x.
Add 9 to both sides:
Square root both sides to get y by itself:
This equation can be simplified by taking the square root of 9 out of the root:
The inverse of this function is y = 3 + √x.