Provide an appropriate response.A probability experiment is conducted in which the sample space of the experiment is  Let event  and event   Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive?

A. {5, 6, 7, 8, 13, 14, 15}; yes
B. { }; no
C. {5, 6, 7, 8, 13, 14, 15}; no
D. { }; yes


Answer: D

Mathematics

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Find the perimeter. Use 3.14 for ? when needed.

A. 12.56 ft B. 6.28 ft C. 20.56 ft D. 14.28 ft

Mathematics

The following table shows the earnings for the Juarez family last year. Solve the problem.MonthEarningsMonthEarningsJan.$1400July$1300Feb.$1150Aug.$2450Mar.$2950Sept.$2500Apr.$2300Oct.$2000May$1650Nov.$2350June$2700Dec.$2400What was the family's total income for the year?

A. $24,000 B. $22,000 C. $23,750 D. $25,150

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. 2(x - 3)2 + 2(y - 6)2 = 8

A. (h, k) = (3, 6); r = 2 B. (h, k) = (-3, -6); r = 2 C. (h, k) = (3, 6); r = 4 D. (h, k) = (-3, -6); r = 4

Mathematics

Provide an appropriate response.For any augmented matrix of a system of linear equations, which of the following row transformations will not necessarily result in a matrix of an equivalent system?(i)Adding to the elements of any row a multiple of the corresponding elements of another row.(ii)Interchanging any two columns.(iii)Multiplying the elements of any row by the corresponding elements of another row.(iv)Multiplying the elements of any row by any nonzero number.

A. (i), (iv) B. (ii), (iii), (iv) C. (ii), (iii) D. (ii)

Mathematics