Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
1 answer:
You might be interested in
Answer:
a) 0.21% probability that there are no bad peaches in the peach cobbler.
b) 99.79% probability of having at least 1 bad peach in the peach cobbler
c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?
Desired outcomes:
12 good peaches, from a set of 12. So
Total outcomes:
12 peaches, from a set of 15. So
Probability:
0.21% probability that there are no bad peaches in the peach cobbler.
(b) What is the probability of having at least 1 bad peach in the peach cobbler?
Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So
p + 0.21 = 100
p = 99.79
99.79% probability of having at least 1 bad peach in the peach cobbler
(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?
Desired outcomes:
2 bad peaches, from a set of 3.
One good peach, from a set of 12.
Total outcomes:
12 peaches, from a set of 15. So
Probability:
7.91% probability of having exactly 2 bad peaches in the peach cobbler.
<h3>Two Answers: <u>x = 2 and x = 10</u></h3>
========================================================
Explanation:
Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.
See the diagram below.
The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.