Solve the problem.Roger walks and jogs to his favorite coffee shop to study each weekend. He averages  walking and  jogging. The distance from his home to the coffee shop is  and he makes the trip in  How long does Roger jog?

A. 3 hr
B. 1 hr
C. 4 hr
D. 2 hr


Answer: B

Mathematics

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Use Gaussian elimination and matrices to solve the system of linear equations. Write your final augmented matrix in triangular form and then solve for each variable using back substitution.x - y + 4z=164x + z= 5x + 5y + z=25

A. (0, 4, 5) B. (5, 4, 0) C. (0, 5, 4) D. (5, 0, 4)

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Solve the equation. - 6 = 

A. 6 B. 0 C. all real numbers D. no solution

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Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round the answer to four decimal places.

?
?,  form a partition of ?S.
?
, , , , .
?
Find .
?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics