Suppose events A, B, and C are independent and 

data-wiris-created="true" varid="variable_id_field" variablename="impvar_86c00c12021d441a9e2b99d42" />.
?
Find the probability of .

What will be an ideal response?



Mathematics

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Solve the problem.The average daily temperature T of a city in the United States is approximated by T = 55 - 23 cos (t -30)where t is in days, 1 ? t ? 365, and t = 1 corresponds to January 1. Find the period of T.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use a Venn diagram to answer the question.A survey of 138 college students was done to find out what elective courses they were taking. Let A = the set of those taking art; B = the set of those taking basket weaving; and C = the set of those taking canoeing. The study revealed the following information:n(A) = 45; n(B) = 55; n(C) = 40; n(A ? B) = 12; n(A ? C) = 15; n(B ? C) = 23; n(A ? B ? C) = 2.How many students were not taking any of these electives?

A. 56 B. 48 C. 46 D. 10

Mathematics

Evaluate without the use of a calculator.tan-1 (1)

A.
B.
C.
D.

Mathematics

Describe the relationship between the graphs of  f and g. Consider amplitude, period, and shifts. ?  f(x) = cos x  g(x) = cos (5x? - 3)

A. The period of g(x) is five times the period of f(x).Graph of g(x) is shifted upward 3 unit(s) relative to the graph of f(x). B. The amplitude of g(x) is five times the amplitude of f(x).Graph of g(x) is shifted downward 3 unit(s) relative to the graph of f(x). C. The amplitude of g(x) is five times the amplitude of f(x).Graph of g(x) is shifted upward 3 unit(s) relative to the graph of f(x). D. The period of g(x) is three times the period of f(x).Graph of g(x) is shifted downward 5 unit(s) relative to the graph of f(x). E. The period of f(x) is five times the period of g(x).Graph of g(x) is shifted downward 3 unit(s) relative to the graph of f(x).

Mathematics