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Anton [14]
3 years ago
13

The mean age and median age of 6 people in a room is 40 years. a person whose age is 60 years leaves the room. question 1. if po

ssible, determine the mean age of the remaining 5 people in the room. if it is not possible to find the mean age of the remaining 5 people, write "not possible" (without the quotes) as your answer. 40 incorrect: your answer is incorrect.
Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
Mean = (total of contributors) / (number of contributors)

For the 6 people in the room, you have
   40 = (total of contributors) / 6
   (total of contributors) = 6*40 = 240

A 60-year-old left the room, decreasing the total of contributors by 60.
   (new total of contributors) = (total of contributors) - 60
   (new total of contributors) = 240 - 60 = 180

Then the new mean is
   (new mean) = (new total of contributors) / (new number of contributors)
   (new mean) = 180 / 6 = 36

The mean age of the remaining 5 people is 36.
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Find the measure of angle X in the triangle below.
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Answer:

  X = 89.92° or 90.08°

Step-by-step explanation:

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There are two solutions: X = 89.92° or 90.08°.

_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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The value of x from the equation is 0.395.

Therefore, the answer to this item is 39.5%. 
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