Select the correct answer below: a convenient sample of 23 individuals is taken from the residents of a city with approximately normally distributed commute times. the sample mean is 19 minutes and the sample standard deviation is 2 minutes. o a population is used to obtain a sample mean of 53 and a sample standard deviation of 7 based on a convenien sample of size 19. o a sample mean of 70 and sample standard deviation of 7 are obtained using a simple random sample of size 19 from a normally distributed population. a sample mean of 194 pages and a standard deviation of 37 pages are obtained using a simple random sample of 30 books from a public library having approximately normally distributed numbers of pages. the population standard deviation is 31.4 pages. ous

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?