The velocity of the bus is:
velocity (bus) = 36 miles / 40 min
velocity (bus) = 0.9 miles / min
Since the car is 1.5 times faster, so the velocity of the
car is:
velocity (car) = 1.5 * 0.9 miles / min
velocity (car) = 1.35 miles / min
At the meeting point, the sum of the distance is equal to
36 miles. Therefore:
1.35 t + 0.9 t = 36
2.25 t = 36
t = 16 min
So they will meet after 16 minutes.
Answer: The student enrollment the previous year was 630.
Step-by-step explanation: What we have currently is 504 students which represents 80 percent of the previous total number of students. We can conclude this because the question states clearly that the student enrollment dropped by 20 percent. In other words, we need to add back 20 percent to 80 percent to get the total 100 percent student enrollment from the previous year. The total number of students can be derived as follows;
If 504 equals 80 percent or (0.8), then 504 divided by 4 gives us 20 percent or (0.2)
20 percent times 5 equals 100 percent (or 0.2 times 5 equals 1)
Hence the calculation becomes;
(504/4) x 5 = Total
126 x 5 = 630
Therefore the total number of students enrollment the previous year was 630.
Answer:
The sample proportion is 0.158.
Step-by-step explanation:
In a confidence interval of proportions, we have the lower bound and the upper bound of the interval. The sample proportion is the halfway points between these bounds, that is, the sum of these bounds divided by 2.
In this problem, we have that:
Lower bound: 0.142
Upper bound: 0.174
Sample proportion: (0.142+0.174)/2 = 0.158
The sample proportion is 0.158.
