Solve the problem.There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with the number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree diagram , obtain the sample space for the experiment. Then, find the probability that the number on the ball is the same as the number on the die.

A.
B.
C.
D.


Answer: D

Mathematics

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Solve the problem.The monthly incomes of trainees at a local factory are normally distributed with a mean of $1600 and a standard deviation $150. What percentage of trainees earn less than $1390 a month?

A. 1.40% B. 44.04% C. 91.92% D. 8.08%

Mathematics

Graph the function.The air pressure within a plastic container changes above and below the external atmospheric pressure by . Sketch two cycles of p as a function of time. Label the point on the horizontal axis which represents the end of the second cycle.

A.

B.

C.

D.

Mathematics

Use the substitution formula to evaluate the integral.

A.
B. 18
C.
D. 6

Mathematics

Provide an appropriate response.An industrial maintenance supervisor for a textile mill is asked to construct a model of an 8.5 foot ramp to see if a bolt of fabric will roll down a 40° incline onto a conveyor belt without bouncing off. How high must the vertical support be to make the angle exact? Round to tenths.

Fill in the blank(s) with the appropriate word(s).

Mathematics