City P has a temperature of −4 °F. City Q has a temperature of −8 °F. Use the number line shown to answer the questions:

Number line from negative 8 to positive 8 in increments of 1 is shown.

Part A: Write an inequality to compare the temperatures of the two cities.

Part B: Explain what the inequality means in relation to the positions of these numbers on the number line.

Part C: Use the number line to explain which city is warmer.

Worth 30 points! in this diagram, both polygons are regular. what is the value, in degrees, of the sum of the measures of angles abc and abd?

1: 4 if the wew 35 surfboards at the beach how many were short boards?

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.