Find the indicated probability.You toss four coins and record the number of tails. You repeat this many times. The results are shown below. 
Find the empirical probability of getting 4 tails. Round your answer to the nearest thousandth.
A. 0.267
B. 0.063
C. 0.071
D. 0.067
Answer: D
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Find the specific function value.Find f(5, 0, 8) when f(x, y, z) = 5x2 + 5y2 - z2.
A. 65 B. -39 C. 61 D. 189
Use the two steps for solving a linear programming problem to solve the problem.A candy company has 115 pounds of cashews and 145 pounds of peanuts which can be combined into two different mixes. The deluxe mix is half cashews and half peanuts and sells for $8 per pound. The economy mix is one-third cashews and two-thirds peanuts and sells for $5.40 per pound. How many pounds of each mix should be prepared for maximum revenue?
A. 115 pounds of deluxe mix and 0 pounds of economy mix B. 85 pounds of deluxe mix and 30 pounds of economy mix C. 170 pounds of deluxe mix and 90 pounds of economy mix D. 255 pounds of deluxe mix and 60 pounds of economy mix
Find the exact value of the following expression without using a calculator.sin 
A. - 
B. - 
C. 
D. 
Solve the problem.Let v1 = src="https://sciemce.com/media/4/ppg__sas0521192010__f1q13g6.jpg" alt="" style="vertical-align: -8.0px;" /> C: 
, v2 = 
, v3 = 
, and H = Span 
. Note that v3 = 2v1 - 3v2. Which of the following sets form a basis for the subspace H, i.e., which sets form an efficient spanning set containing no unnecessary vectors?A: 
B: 
D: 
A. B, C, and D
B. B and C
C. B only
D. A only