Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). McKenna and her twin brother, Thomas, both make money by babysitting and walking dogs.

Prior to her 15th birthday, McKenna made $8.00 per hour babysitting and 0.75 times as much walking dogs.

Prior to his 15th birthday, Thomas made $6.00 per hour babysitting and times as much walking dogs.

On their 15th birthday, McKenna and Thomas decided they deserved more for their services, so they both started charging 8% more. The month after their 15th birthday, McKenna spent 14 hours babysitting and 6 hours walking dogs, and Thomas spent 3 hours babysitting and 21 hours walking dogs. McKenna made a total of $

that month. The difference in Thomas's and McKenna's pay for that month was $

.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label

If x = -2, then x 2-7x+10 equals a. 0 b.20 c.28

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.