Part 7: the city of maple grove is choosing a month for their heritage festival. assuming that all months have an equal probability of being chosen, what is the probability the festival will take place during a month with a name that ends in “r.” 1. describe the sample space for this problem. 2. which outcome (or outcomes) of the sample space composes the event? 3. express the probability of the festival occurring in a month ending in “r” as a fraction and as a decimal. 4. describe the probability of the festival occurring in a month ending in “r” as impossible, unlikely, neither likely nor unlikely, likely or certain. justify your response

January, February, March, April, May, June, July, August, September, October, November, December. That's the sample space.

A September, October, November, December festival would compose this event.

Four months have names ending in r, so the probability of the festival occurring in a month ending in "r" is 4/12, or 1/3, or 0.3333

Neither likely nor unlikely. Were the probability 1/8 or so, then we'd say the likelihood of this event is small; were the probabli 7/8 or so, we'd say it is great, but a probability such as 1/3 is in between.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2