An experiment is designed to measure the time necessary for a robotic lens to adapt to reduced light. We have n=50 observations from the repeated experiments. The sample mean, X¯, was 6.32 seconds and the sample standard deviation, s, was 1.65 seconds. a. Using the central limit theorem, what approximate distribution does X¯−µ σ/√ n follow, where µ is the true population mean and σ is the true population standard deviation? b. Compute an approximate 95 percent confidence interval for the true average adaptation time (µ).

Select the correct answer from each drop-down menu. rewrite the formula to find voltage. the formula for electrical power (p, in watts) is where v is the voltage in volts and r is the resistance in ohms. for a particular brand of water heater, r is 32 ohms and p is 0.5 watts. the formula to find v is , and the voltage at which the heater operates is volts.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12