Answer:
1
Step-by-step explanation:
The distance between A to B is 1 unit
Let the time taken by Vince to complete the race was x hours.
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury:
Distance = 16(x - 1.5)
For Vince:
Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6
This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
Answer:
B
Step-by-step explanation: apex
Answer: 0.0228
Step-by-step explanation:
Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-
If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 
Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-
Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228
By what is P i assume you mean what is the probability.
Well probability is always the specific group divided by the total
To find the total add all the marbles together
4 + 6 + 14 + 5 +8 = 37
Before we move on notice the question says that the marble is replaced after being chosen meaning the total stays the same for every pick
Red Marbles Probability:
red marbles/ total
6/37 or if you divide it out 0.162
Blue Marbles Probability:
blue marbles/total
8/37 or 0.216
