From statements in j. r. r. tolkien's "the fellowship of the ring" (prologue i, paragraph 4), i construe that the heights of hobbits are approximately normally distributed with mean 36 inches and standard deviation 4.2 inches. find the following probabilities (be as accurate as our process allows). 1. find the probability that one hobbit picked at random is no more than 36.7 inches tall. 2. find the probability that a simple random sample of 16 hobbits have a mean height of no more than 36.7 inches tall. 3. find the probability that a simple random sample of 100 hobbits have a mean height of no more than 36.7 inches tall. 4. find the probability that a simple random sample of 400 hobbits have a mean height of no more than 36.7 inches tall.

Mercury poisoning is dangerous overload of mercury within the body. a major source of mercury within the body, a major source of mercury poisoning is consuming fish that contain mercury. certain fish are more prone to having higher levels of mercury than others. the pie chart shows the distribution of four breeds of fish at a hatchery. the hatchery has approximately 6,000 fish. a biologist from the centers for disease control and prevention randomly test 5% of each breed of fish for mercury content. her findings are shown in the following table. based on the biologist's findings, if a single salmon is randomly selected from those that were tested, what is the probability that this particular fish would have a dangerous mercury level? a) 0.001 b) 0.004 c) 0.02 d) 0.08

The length of triangle base is 26. a line, which is parallel to the base divides the triangle into two equal area parts. find the length of the segment between triangle legs.

What is the solution of log2  (3x  -  7)  =  3? 4 5