The saxena family plans to install a light to illuminate part of their rectangular yard. nikki and dylan each proposed a different spot
to place the light. the proposed placements and the lit area that each produces are shown below.
nikki's proposed placement
dylan's proposed placement
light
light
27.5 ft
16.5 ft
lit area
60
how do nikki's and dylan's proposals compare? check all that apply.

An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 seconds?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

This summer the number of tourists in salem increased 4.5% from last years total of 426000. how many more tourists came to salem this summer