The length of Dwight’s garden is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest measurement Dwight could have made.

30 points! i am confused. what does it mean by game time? you can use a table of random numbers or a random number generator to create random samples. also, you can obtain random samples directly using wolframalpha. com. for example, typing in randomsample[{1,2,3,4,5},2] will give you a sample of size 2 from the list {1,2,3,4,5}. a sample result is {1,5}. refreshing the page will generate a new random sample of size 2. 2. create five random samples of size two from the population. record the game times for the samples and calculate the mean game time of each sample. 3. create 5 random samples of size 11 from the population. record the game times for the samples and calculate the mean game time of each sample.

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of diet soda. two cans were randomly selected from this 12 pack. what is the probability that both cans were regular soda?