Given function: f(x) = (3x+5)/7
y = f(x) so it's the same as y = (3x+5)/7
Swap every copy of x and y to get x = (3y+5)/7
Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3
So the inverse function is f^(-1)(x) = (7x-5)/3
Answer is choice A
Answer:
option A is correct answer......
To find the area of the larger figure, let's multiply the length by the width.
9 ft * 4 ft = 36ft^2
Let's do the same thing with the smaller figure.
3 ft * 4 ft = 12ft^2
Let's add the area of both figures together.
36ft^2 + 12ft^2 = 48ft^2
Decrease = initial price - final price
% decrease = [ (initial price - final price) / initial price ] *100
% decrease =[ (2.89 - 2.83) / 2.89] * 100 = 2.08, which can be rounded to 2.1
Answer: 2.1 %
We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.
First of all, we will find the z-score corresponding to sample score 2410.




Now we need to find area under normal curve that is greater than z-score of
that is
.
Using formula
, we will get:

Now we will find area under curve using normal distribution table.


Upon rounding to 4 decimal places, we will get:

Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.