Solve the problem.There are five brands of a product on the market, three of which have very loyal customers who never change brands. The transition matrix for the five brands is shown below (where the brands are labeled A, B, C, D, and E). About how many times, on average, will a person currently using brand C use brand D before trying one of the brands that have loyal followings? Round your answer to the nearest hundredth.ABCDE

A. 1.23
B. 0.34
C. 1.19
D. 0.20


Answer: B

Mathematics

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Find a 95% confidence interval for the true population proportion.In a random sample of 186 births at one hospital, 33% were by Caesarean section.

A. 25.7% to 40.3% B. 32.9% to 33.1% C. 29.3% to 36.7% D. 32.5% to 33.5%

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Rewrite the quadratic equation in the form ax2 + bx + c = 0, then identify a, b, and c. 3x2 = 12x - 12

A. a = 3, b = -12, c = 12 B. a = 3, b = 12, c = 12 C. a = 3, b = 12, c = -12 D. a = 3, b = -12, c = -12

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Graph the parabola.x = (y + 5)2 - 2

A.

B.
 
C.

D.
 

Mathematics

Provide an appropriate response.Find the stationary matrix for the transition matrix P = Round the numbers in your answer to the nearest hundredth.

A. [0.23 0.17 0.60] B. [0.17 0.29 0.54] C. [0.26 0.44 0.30] D. [0.29 0.29 0.42]

Mathematics