Find the probability.Each person in a group of students was identified by his or her hair color and then asked whether he or she preferred taking classes in the morning, afternoon, or evening. The results are shown in the table below. Find the probability that a student preferred morning classes given that he or she has blonde hair.Hair ColorClass Time PreferenceBlondeBrunetteReheadMorning452510Afternoon401550Evening352030
Fill in the blank(s) with the appropriate word(s).
(45/120) = 0.375
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Provide an appropriate response.Let f(x) = (x - 8)2/3 (a) Does f'(8) exist? (b) Show that the only local extreme value of f occurs at x = 8. (c) Does the result of (b) contradict the Extreme Value Theorem? (d) Repeat parts (a) and (b) for f(x) = (x - c)2/3.Give reasons for your answers.
What will be an ideal response?
Solve the problem.The square photo is x inches by x inches and is bordered by a matting that is 1 inch wide. Write the polynomial that calculates the area of the entire framed picture. 
A. (2x + 1) in.2 B. (x2 + 2x + 1) in.2 C. (x2 + 1) in.2 D. (x2 + 2x) in.2
Find the area of the geometric figure.
Use 3.14 for ?.
A. 7.07 sq mi B. 28.26 sq mi C. 18.84 sq mi D. 9.42 sq mi
Find the largest open intervals where the function is concave upward.f(x) = 
(exact values)
A. (-?, -1), (-1, ?)
B. None
C. (-?, -1)
D. (
, ?)