Gazelle Consulting Group, has been engaged to perform a feasibility study to determine if the market for a proposed innovation will be favorable or not. Gazelle Consulting has done similar studies in the past and whenever the market was actually favorable, their market research study indicated that it would be favorable 85% of the time. On the other hand, whenever the market performance was unfavorable, Gazelle Consulting incorrectly predicted that the market would be favorable 20% of the time. Before Gazelle Consulting Group conducts the study, it is believed there is a 70% chance the market will be favorable. When Gazelle Consulting performs the study for this new product, the results predict the market will be favorable. What is the probability that the market will actually be favorable? Hint: Organize your information first, before solving the problem.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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step-by-step explanation:

.mnm.kn.kj

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

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