A certain bread recipe asks you to combine sugar and yeast with 3 cups of warm 110 °F water. If the water is hotter or colder than that, then the
bread won't rise.
All you have available are boiling water that is 220 °F and ice that is 32 °F.
How much boiling water and ice should you mix together to get 3 cups of
110 °F water?

cups of boiling water.
cups of ice.
Round your answers to 2 decimal places.

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Which of the following represents the length of a diagonal of this trapezoid?

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.