Todd has created the following diagram to prove the Pythagorean theorem. He drew right
AABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the
hypotenuse. He determines that a = and Then he determines that cz =
cy = 62. What is the next step in proving the theorem?
a’ and

Need ! a certain ultraviolet ray has a frequency of 1 × 1016 hz, and a certain infrared ray has a frequency of 2 × 1012 hz. which of the following is true? a. the frequency of the ultraviolet ray is fifty thousand times the frequency of the infrared ray. b. the frequency of the infrared ray is fifty thousand times the frequency of the ultraviolet ray. c. the frequency of the ultraviolet ray is five thousand times the frequency of the infrared ray. d. the frequency of the infrared ray is five thousand times the frequency of the ultraviolet ray.

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. the equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. identify the independent and dependent variables. the is the independent variable. the is the dependent variable.

Assume the population consists of the values 1, 3, 14. assume samples of 2 values are randomly selected with replacement (see page 23 for a definition) from this population. all the samples of n=2 with replacement are 1 and 1, 1 and 3, 1 and 14, 3 and 1, 3 and 3, 3 and 14, 14 and 1, 14 and 3, and 14 and 14. for part a) of this project, find the variance σ2 of the population {1, 3, 14}. for part b) of this project, list the 9 different possible samples of 2 values selected with replacement, then find sample variance s2 (which includes division by n-1) for each of them, and finally find the mean of the sample variances s2. for part c), for each of the 9 different samples of 2 values selected with replacement, find the variance by treating each sample as if it is a population (using the formula for population variance, which includes division by n), then find the mean of those population variances. for part d), which approach results in values that are better estimates of σ2 from part a): part b) or part c)? why? when computing variances of samples, should you use division by n or n-1? upload your answers for a), b), c), and d). the preceding parts show that s2 is an unbiased estimator of σ2. is s and unbiased estimator of σ? the above problem is from triola’s essentials of statistics, 4th edition.