Consider the sample of exam scores to the right, arranged in increasing order. The sample mean and sample standard deviation of these exam scores aro, respectively, 83.0 and 177. Chebycher's rule states that for any data set and any real number k>1, at least 100(1-1/K?)% of the observations lio 25 44 52 59 60 74
within k standard deviations to other side of the mean Complete parts (a) and (b) below.
81 81 82 85 85 85
87 90 90 90 91 92
92 92 93 93 94 94
94 95 96 96 98 100
a. Use Chebychev's rule to obtain a lower bound on the percentage of observations that lie within three standard deviations to either side of the mean.
(Round to one decimal place as needed)

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.