Answer: D. 20/3
Step-by-step explanation:
20/3 = 6.6 (repeating)
Add the equations in order to solve for the first variable. Plug in this value in the other equations in order to solve for the remaining variables.
so your answer is (-1, 4)
hope this helps!
Answer:
1526.0 cubic units
Step-by-step explanation:
Rotating rectangle AKLM you will get cylinder with height KA and base radius KL. From the given data
The volume of the cylinder is
Then
Answer:
46.86% probability that at least one of the next six inspected fails
Step-by-step explanation:
For each vehicle, there are only two possible outcomes. Either it passes the inspection, or it does not. The probability of a vehicle passing the inspection is independent of other vehicles. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Ninety percent of all vehicles examined at a certain emissions inspection station pass the inspection.
100 - 90 = 10% fail, so
Six vehicles:
This means that
What is the probability that at least one of the next six inspected fails?
Either none fail, or at least one of them does. The sum of the probabilities of these outcomes is 1. So
We want
Then
In which
46.86% probability that at least one of the next six inspected fails
One way to find this is to plug in the points into each of the answers and see which one is correct:
A. First, plug in the point (-2,8). y = 8, x = -2
A works for the first point.
Then plug in the second point: x =0, y = -4
A works for the second point.
Then plug in the third point: x = 4, y = 68
A works for the third point, so A is the answer.
But we should double-check the other answers too.
B does not work.
C does not work.
D does not work.
Therefore, A is the answer