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vivado [14]
3 years ago
5

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?

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

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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3 years ago
A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability
saw5 [17]

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:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

3 Democrats, from a set of 8.

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D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136

Total outcomes:

6 people from a set of 16.

T = \frac{16!}{6!10!} = 8008

Probability:

p = \frac{D}{T} = \frac{3136}{8008} = 0.3916

39.16% probability of selecting three Democrats and three Republicans

5 0
3 years ago
A certain triangle has two 45° angles, what thoe of triangle is it?
olganol [36]
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7 0
3 years ago
Plss HELP!!!! <br><br>Match each division expression to its quotient.
Maksim231197 [3]

Answer:

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Step-by-step explanation:

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6 0
4 years ago
PLEASE HELP!! THANK YOU
DanielleElmas [232]

Answer:

B

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lmk if that was unclear

3 0
3 years ago
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