Provide an appropriate response.When a balanced die is rolled twice, 36 equally likely outcomes are possible. LetA = event the sum of the two rolls is 8B = event the first roll comes up 3.Find P(A) and P(A|B).Are A and B independent events? How can you tell?
What will be an ideal response?
P(A) = 
; P(A|B) = 
No; P(A) ? P(A|B).
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Solve.The longer base of an isosceles trapezoid measures 22 ft. The nonparallel sides measure 8 ft, and the base angles measure 75°. Find the length of a diagonal to the nearest foot.
A. 17 ft B. 25 ft C. 32 ft D. 21 ft
Write the complex number in rectangular form.5(cos 
+ i sin 
)
A. 
+ 
i
B. - 
+ 
i
C. 
+ 
i
D. - 
+ 
i
Perform the indicated operation.34eight + 61eight
A. 106eight B. 115eight C. None of these D. 105eight
Determine whether the algebraic expression is a polynomial (Yes or No). If it is a polynomial, write the polynomial in standard form, determine the degree and state if it is a monomial, binomial, or trinomial. If it is a polynomial with more than 3 terms, identify the expression as a polynomial.7y2 + 3
A. no B. yes; 7y2 + 3; degree 7; monomial C. yes; 7y2 + 3; degree 2; binomial D. yes; 7y2 + 3; degree 3; binomial