"The Fountains of Bellagio" is a choreographed water display set to light and music that takes place in front of the Bellagio Hotel in Las Vegas. In the evening, the shows take place every 15 min from 7 P. M. to midnight. The duration of each show is 7 min. If Joan arrives at a random time between 8 P. M. and 8:30 P. M. for an evening show, find the probability that Joan will have to wait the following.

a) less than 4 minutes
b) more than 11 minutes

a) 4/15

b) 4/15

Step-by-step explanation:

maximum wait is 1 min,2 min,3 min,4 min,5 min,6 min,7 min,8 min,9 min,10 min,11 min,12 min,13 min,14 min,15 min =total 15 values

a) less than 4 min means he has to wait for 1 min, 2 min, 3 min, 4 min=total 4 values

Probability of wait for less than 4 minutes=4/15

b) more than 11 minutes wait means he has to wait for either 12 min, 13 min, 14 min, 15 min=4 values

Probability of wait for more than 11 minutes=4/15

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55

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -