Solve the problem.Trusses are often used in the construction of buildings. If ?DAB = 49° what is the measure of ?BDF in the truss shown below.
A. 41°
B. 49°
C. 90°
D. 139°
Answer: D
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Simplify the complex fraction.
A. 
B. 
C. 
D. 
Solve the problem.A spinner has regions numbered 1 through 18. What is the probability that the spinner will stop on an even number or a multiple of 3?
A. 1
B. 
C. 
D. 15
Find the expected value of the optimal strategy.A backpacker is planning a three-day trip in the backcountry with a friend. She wishes to keep the weight of her pack to a minimum. She has decided to bring either rock climbing shoes or an extra fleece jacket but not both. The fleece jacket will be useful if the weather is cold. The rock climbing shoes will be useful if the weather is warm. In trying to decide which of these two items to bring, the backpacker decides on the utilities shown in the following payoff matrix:WarmColdWeatherWeather
According to the weather forecaster,
the probability of cold weather is 0.4. The backpacker selects the item that will maximize the expected utility. What is the expected utility in this case? A. 14.8 B. 6 C. 17 D. 7.2
Solve the problem.Anna goes to a frozen yogurt shop. She can choose from any of the following toppings: cashews, marshmallow cream, peanut butter chips, blackberries, and brownie bits. How many different variations of yogurt and toppings can be made?
A. 64 B. 16 C. 32 D. 6