Solve the problem.The time needed to repair a machine follows an exponential distribution with mean 33 minutes. What is the probability that the next repair of this machine will take 8 minutes or less?

A. 0.1615
B. 0.1722
C. 0.2583
D. 0.2153


Answer: D

Mathematics

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Find an exponential model for the following data set. Round your answer to two decimal places.   t 0 1 2 3 y 3.01 3.31 3.64 4.00?

A.
B. ?
C. ?
D. ?

Mathematics

Solve the problem.Use a tree to show the parent-child relationships in the following family. Carl has three children: Sonja, James, and Michael. James has one child: Malik. Michael has two children: Consuelo and Joan. Sonja has no children.

A.

B.

C.

D.

Mathematics

Suppose the annual salaries of three people are: Employee #1$45,192Employee #2$42,308Employee #3 (half-time)$20,192? What are their salaries if they are given a 4% raise, and then the result is rounded to the nearest $1,000 using Hamilton's plan with a cap on the total salaries of $113,000? ?

A. Employee #1               $47,000Employee #2               $21,000Employee #3 (half-time)   $45,000? B. Employee #1               $45,000Employee #2               $47,000Employee #3 (half-time)   $21,000? C. Employee #1               $45,000Employee #2               $21,000Employee #3 (half-time)   $47,000? D. Employee #1               $47,000Employee #2               $45,000Employee #3 (half-time)   $21,000? E. Employee #1               $21,000Employee #2               $45,000Employee #3 (half-time)   $47,000?

Mathematics

Write the rate as a unit rate.A boy pays 6 cents for 2 marbles.

A. 0.333 cents/marble B. 3 cents/marble C. 8 marbles D. 12 cents/marble

Mathematics