A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o
n each trip. The total duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry’s distance from point A in miles and t is the time in minutes, which equation models the ferry’s distance from point A for the duration of the trip?
1 answer:
Answer:
D. -|0.35t -14| +14
Step-by-step explanation:
The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.
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Answer:
39.16% probability of selecting three Democrats and three Republicans
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
3 Democrats, from a set of 8.
3 Republicans, from a set of 8.
Total outcomes:
6 people from a set of 16.
Probability:
39.16% probability of selecting three Democrats and three Republicans
Answer:
B
Step-by-step explanation:
Volume of cube : 10*10*10 = 1000
Radius of cylinder: 10/2=5
Volume of cylinder: = pi * 5^2 * 12 = 300 pi = 942 (roughly)
1000>942, so the volume of the cube is greater
lmk if that was unclear