F^-1(x)=(x-4)/12
I hope that this helps you!
Answer:
3/88
Step-by-step explanation:
Using it's concept, it is found the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.
<h3>What is the standard deviation of a data-set?</h3>
- The standard deviation is given by the square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values.
- It represents by around how much the distribution varies around the mean.
Hence, in this problem, the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.
More can be learned about standard deviation at brainly.com/question/24754716
Answer:
The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.
Step-by-step explanation:
The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.
Now, factorizing the expression for the area we get,
A = 1900 + 76x
⇒ A = 76(25 + x)
Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)
Answer:
f(8) = 192
Explanation:
f(x) varies directly with x²
This means that:
f(x) = kx²
where k is the constant of proportionality.
Now, we are given that:
f(x) = 75 at x = 5
Substitute to get k as follows:
f(x) = kx²
75 = k(5)²
75 = 25k
k = 3
This means that the equation is:
f(x) = 3x²
Now, to find f(x) at x = 8, all we have to do is substitute with x = 8 in the equation as follows:
f(8) = 3*(8)²
f(8) = 3*64
f(8) = 192
Hope this helps :)