Consider an advertisement at the movies. before you can see the newly released movie you have just paid to see, you must sit through a variety of trivia slides, snack bar ads, paid product advertising, and movie trailers. although the total barrage of advertising may last up to 20 minutes or more, a particular theater chain claims that the average length of any one advertisement is no more than 3 minutes. to test this claim, 50 theater advertisements were randomly selected and found to have an average duration of 3 minutes 15 seconds with a standard deviation of 30 seconds. do the data provide sufficient evidence to indicate that the average duration of theater ads is more than that claimed by the theater?

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

-1

step-by-step explanation: