Answer:
f^-1(x) = (2x + 4) / 3
Step-by-step explanation:
- switch 'y' with 'x'
x = 3/2y - 2
- solve for 'y'
x + 2 = 3/2y
- multiply each side by 2
y = (2x + 4) / 3
Answer:
B
Step-by-step explanation:
The equation of a circle is denoted by:
, where (h, k) is the center and r is the radius.
Here, we see that the center is (0, 0), so h = 0 and k = 0. Also, the radius is
, so r =
and
.
Then we can write our equation:


The answer is B.
Hope this helps!
Answer:
the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.
Step-by-step explanation:
Answer:
81.86%
Step-by-step explanation:
We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.
First of all we will find z-score using z-score formula.
Now let us find z-score for 86.
Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.
Using normal distribution table we will get,

We will use formula
to find the probability to find that a normal variable lies between two values.
Upon substituting our given values in above formula we will get,


Upon converting 0.81859 to percentage we will get

Therefore, 81.86% of final exam score will be between 68 and 86.