Answer:
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes
Step-by-step explanation:
The given parameters are;
The time it takes through the streets to drive to the nearest bowling alley = 45 minutes
The speed of driving through the streets = 30 miles per hour (mph)
The speed of driving through the freeway to the bowling alley = 65 mph
From the speed of driving through the streets and the time taken we have;
The formula for speed, S, is S = Distance/Time
Therefore, 30 mph = Distance/45 minutes
Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour
30 mph = Distance/45 minutes = Distance/(3/4 hour)
30 mph = Distance/(3/4 hour)
Distance = 30 mph × 3/4 hour = 22.5 miles
Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;
Time = Distance/Speed
The speed through the freeway = 65 mph while the distance remain 22.5 miles
Therefore;
Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.
1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2) The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5). There are 18 outcomes in this event.
3) The probability of rolling an odd sum is 18/36 = 1/2 = 0.5
