Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
Answer:
Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:
where x is the value, 
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.
Substitute the values into the formula.
Solve the numerator.
Divide.
The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
For a survey like this, you want to take a random sample. It would be a good idea to use an alphabetical list of the students. Then, you could randomly select students from the list.
The principal would want to avoid surveying all the same type of students. For example, don't just ask the athletes.
Answer:
50%
Step-by-step explanation:
