- Description
MTH 216
QUANTITATIVE REASONING II
The Latest Version A+ Study Guide
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MTH 216 Week 4 MyMathLab® Week 4 Checkpoint
Prerequisite Assignment: MyMathLab® Study Plan for Weekly Checkpoint.
- Click on the Quiz tab.
- Click External Content Launch to access MyMathLab®.
- Click Homework and Tests in MyMathLab® at the top-left of the screen.
- Click Week 4 Checkpoint.
Important Notes: You must earn at least 60% of the Mastery Points in the Weekly MyMathLab® Study Plan before you may start the Weekly Checkpoint.
It is highly recommended that you earn all Mastery Points in the Weekly MyMathLab® Study Plan Checkpoint. You have 1 attempt to complete the Weekly Checkpoints and do not have access to the Help me Solve This or View an Example features.
MTH 216 Week 4 Checkpoint
A restaurant offers 9
appetizers and 10
main courses. In how many ways can a person order a two-course meal? Use the multiplication principle with two groups of items.
There are 90
ways a person can order a two-course meal.
Pizza House offers 4
different salads, 4
different kinds of pizza, and 6
different desserts. How many different three course meals can be ordered?
Find the odds for and the odds against the event rolling a fair die and getting a 4 comma a 3 comma a 5 comma or a 2.
- The odds for the event are 2
to 1
.
(Simplify your answers.)
- The odds against the event are 1
to 2
.
(Simplify your answers.)
The odds on (against) your bet are 7
to 6
.
If you bet $48
and win, how much will you gain?
Suppose you toss a fair coin 10,000 times. Should you expect to get exactly 5000 heads? Why or why not? What does the law of large numbers tell you about the results you are likely to get?
Should you expect to get exactly 5000 heads? Why or why not? Choose the correct answer below.
A.
You shouldn’t expect to get exactly 5000 heads, because you cannot predict precisely how many heads will occur.
B.
You should expect to get exactly 5000 heads, because for a fair coin, the proportion of heads is exactly 50%.
C.
You shouldn’t expect to get exactly 5000 heads, because it is not easy to count precisely the number of heads that occurred.
D.
You should expect to get exactly 5000 heads, because the proportion of heads should be 50% for such a large number of tosses.
What does the law of large numbers tell you about the results you are likely to get?
A.
The proportion of heads should not approach 0.5 as the number of tosses increases.
B.
The proportion of heads should approach 0.5 as the number of tosses increases.
C.
The proportion of heads should approach 0.5 as the number of tosses decreases.
D.
The proportion of heads should approach 0.5 as the number of tosses approaches an exact number.
The table shows the leading causes of death in a certain country in a recent year. The population of the country was 313
million. What is the empirical probability of death by pneumonia or influenza
during a single year? How much greater is the risk of death by pneumonia or influenza
than death by kidney disease
Use the graph to estimate the death rate for 65
-year-olds.
Assuming that there were about 11.6
million 65
-year-olds,
how many people of this age could be expected to die in a year?
The estimated death rate for 65
-year-olds
is 20
deaths per 1000 people.
(Round to the nearest whole number as needed.)
Assuming that there were about 11.6 million
65
-year-olds,
232000
people of this age could be expected to die in a year.
(Simplify your answer.)
In a certain country, the life expectancy for women in 1900 was 47
years and in 2000 it was 75
years. Assuming that life expectancy between 2000 and 2100 increases by the same percentage as it did between 1900 and 2000, what will the life expectancy be for women in 2100?
Assuming the life expectancy between 2000 and 2100 will increase by the same percentage as it did between 1900 and 2000, the life expectancy for women in 2100 will be 120
years.
Baby Brianna
wants to arrange 5
blocks in a row. How many different arrangements can she
make?
There are 120
ways to arrange the 5
blocks.
Answer the following question using the appropriate counting technique, which may be either arrangements with repetition, permutations, or combinations. Be sure to explain why this counting technique applies to the problem.
How many possible birth orders with respect to gender are possible in a family with seven
children? (For example, BBGGBBB and BGBBBBG
are different orders.)
What counting technique should be used to make this calculation?
A.
Arrangements with repetitions because the selections come from a single group of items, and the order of the arrangement matters.
B.
Combinations because the selections come from a single group of items, no item can be selected more than once and the order of the arrangement does not matter.
C.
Permutations because the selections come from a single group of items, no item can be selected more than once and the order of the arrangement matters.
D.
Arrangements with repetitions because there are r selections from a group of n choices and choices can be repeated.
There are 128
possible birth orders for a family with seven
children.
Find the probability of the given event.
Choosing eight
numbers that match eight
randomly selected balls when the balls are numbered 1 through 32
.
The probability of the given event is StartFraction 1 Over 10518300 EndFraction