Answer:
The inverse will be:

Step-by-step explanation:
In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :



Now solve for y'.
First add 4 in both sides of the equation and change to the left y'.

= x + 4
Second divide by 9
/9 = (x + 4)/9
= (x + 4)/9
Now you will have to clear y, with the square root.
[/tex] =
Simplifying terms


You can check the answer by doing the evaluation of the following equation:
(f o
) (x)
substitute the equation for y' or inverse function 
f(
)
Now substitue the value into f(x)
You will have

=x
Answer:
0.6710
Step-by-step explanation:
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.
Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 107 mm
σ is the population standard deviation = 5 mm
For x = 104 mm
z = 104 - 107/5
z = -0.6
Probability value from Z-Table:
P(x = 104) = 0.27425
For x = 115 mm
z = 115 - 107/5
z = 1.6
Probability value from Z-Table:
P(x = 115) = 0.9452
The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:
P(x = 115) - P(x = 104)
0.9452 - 0.27425
= 0.67095
Approximately = 0.6710
Answer:
45 divided by 3 equal 15
Step-by-step explanation:
45 Divided by 3 equal 15
False, the image will be (+2; 5)