Answer:
The correct answer should be $432.22
<h2>
Answer:</h2>
Using the distributive property, we can simplify the expression.
4 × 3 = 12
4 ×
= 1
4 ×
= -2
Here is the simplified expression:

To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:
(x1+x2/2, y1+y2/2)
( (16 + -6)/2, (5 + -9)/2 )
Now, we can begin to simplify by computing the addition in the numerators of both fractions.
(10/2, -4/2)
Next, we can finish the simplification process by dividing these fractions.
(5, -2)
Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).
Hope this helps!
Answer:
0.02275
Step-by-step explanation:
We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.
We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.

z = z-score,
x = Sample score,
= Mean,
= Standard deviation.



Now, we will use normal distribution table to find area under z-score of
as:


Therefore, the probability of completing the exam in one hour or less is 0.02275.