Simplify the expression, 3.5(1.6 + 4.6 - 8.5) - 9.75
1 answer:
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You have to use the Law of Cosines here, since there's no other way to solve this. it's not a right triangle, so you can't use the Pythagorean Theorem. The Law of Cosines will help us find the missing side length then we will have to use the Law of Sines to find another angle. Then after that we will use the Triangle Angle-Sum theorem to finish it off. Ready? The Law of Cosines to find side b is
and fill in the info we know, which is everything but the b. 
. Doing all that math gives us that side b = 40.9 or 41. Now the Law of Sines to find missing angle A or C. Let's find A. 
. That gives us that angle A is 29. Now use the fact that all triangles add up to 180 to get that angle C is 42. And you're done!
Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that
As we know the formula for expectation of x i.e. known as mean for the probability distribution,
So, we apply this formula in our case,
Hence, the mean for the probability distribution will be 69.25.