Provide an appropriate response.The probability that Luis will pass his statistics test is 0.30. Find the probability that he will fail his statistics test.
A. 0.43
B. 3.33
C. 0.70
D. 0.15
Answer: C
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A building in the shape of a rectangular box is to have a volume of 6,000ft3 (see the figure). It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $3/square foot for the front and back, and $2/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost(C)?
?
?
A. x = 30; y = 20; z = 10; C = 3,500 B. x = 20; y = 30; z = 30; C = 3,500 C. x = 30; y = 20; z = 20; C = 3,600 D. x = 20; y = 30; z = 10; C = 3,600
? is an acute angle and sin ? and cos ? are given. Use identities to find the indicated value.Given that sin ? = 
and cos ? = 
, find the value of tan ?.
A. 
B. 
C. 
D. 
Suppose P(C) = .048, P(M ? C) = .044, and P(M ? C) = .524. Find the indicated probability.P(M' ? C')
A. .956 B. .568 C. .564 D. .476
Factor the four-term polynomial by grouping.6x2 + 8xy - 9xy - 12y2
A. (2x + 3y)(3x + 4y) B. (6x - 3y)(x + 4y) C. (2x - 3)(3x + 4) D. (2x - 3y)(3x + 4y)