Answer:
J - all three
Step-by-step explanation:
an inverse function is simply the same function but now solved by x (and then we switch names of the variables x and y to still have a regular function definition).
let's use I as example
y = 3x - 6
for the inverse function we now solve for x.
y + 6 = 3x
x = y/3 + 2
and to switch names for a regular function definition
y = x/3 + 2
Suppose, initially the ladder is so close that height of the ladder, which is 10 m to the point at which its upper end has reached.
When we pull the bottom of the ladder to such a place that it has come down by 7 m and its upper end is now 3 m from the ground. If we take the base y m, then
Using Pythagorus theorem,
y2 = 10^2 - 3^2 = 100 - 9 = 91
y = 9.54 m
The speed by which ladder was pulled was 2 m/min
So time taken to cover 9.54 m woulds be 4.77 min
As the ladder has come down by 7 m in 4.77 min, its speed for coming down was 7/4.77 = 1.47 m/min
I always understood the unit circle to have a radius of 1 and be centered on the origin (0,0). That there are two x coordinates confuses me. Neither 8 nor 17 is an x value for a line passing through the unit circle, so I'm going to guess "8/17" is the actual x coordinate (which is between -1 and 1). P(8/17,y) = x^2 + y^2 = 1.
289/289 - 64/289 = 225/289. The square root of that (positive since y is positive) yields 15/17. P(x,y) = 8/17, 15/17.
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station