Shown again is the table indicating the marital status of the U.S. population in 2015. Numbers in the table are expressed in millions. Use the data in the table to solve Exercises 65-76. Express probabilities as simplified fractions and as decimals rounded to the nearest hundredth. MARITAL STATUS OF THE U.S. POPULATION, AGES 15 OR OLDER, 2015, IN MILLIONS Married Never Married Divorced Widowed Total Male 66 43 11 3 123 Female 67 38 15 11 131 Total 133 81 26 14 254 If one person is selected from the population described in the table, find the Probability, that the person 67. is widowed or divorced 20 127 ≈ 0.16
Shown again is the table indicating the marital status of the U.S. population in 2015. Numbers in the table are expressed in millions. Use the data in the table to solve Exercises 65-76. Express probabilities as simplified fractions and as decimals rounded to the nearest hundredth. MARITAL STATUS OF THE U.S. POPULATION, AGES 15 OR OLDER, 2015, IN MILLIONS Married Never Married Divorced Widowed Total Male 66 43 11 3 123 Female 67 38 15 11 131 Total 133 81 26 14 254 If one person is selected from the population described in the table, find the Probability, that the person 67. is widowed or divorced 20 127 ≈ 0.16
Solution Summary: The author explains the formula used to calculate the probability that a person is widowed or divorced.
Shown again is the table indicating the marital status of the U.S. population in 2015. Numbers in the table are expressed in millions. Use the data in the table to solve Exercises 65-76. Express probabilities as simplified fractions and as decimals rounded to the nearest hundredth.
MARITAL STATUS OF THE U.S. POPULATION, AGES 15 OR OLDER, 2015, IN MILLIONS
Married
Never Married
Divorced
Widowed
Total
Male
66
43
11
3
123
Female
67
38
15
11
131
Total
133
81
26
14
254
If one person is selected from the population described in the table, find the Probability, that the person
3. Consider the following theorem:
Theorem: If n is an odd integer, then n³ is an odd integer.
Note: There is an implicit universal quantifier for this theorem. Technically we could write:
For all integers n, if n is an odd integer, then n³ is an odd integer.
(a) Explore the statement by constructing at least three examples that satisfy the hypothesis,
one of which uses a negative value. Verify the conclusion is true for each example. You
do not need to write your examples formally, but your work should be easy to follow.
(b) Pick one of your examples from part (a) and complete the following sentence frame:
One example that verifies the theorem is when n =
We see the hypothesis is
true because
and the conclusion is true because
(c) Use the definition of odd to construct a know-show table that outlines the proof of the
theorem. You do not need to write a proof at this time.
matrix 4
Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.
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