PLSSS HELPPP WILL GIVE BRAINIEST TO WHO GIVES THE CORRECT ANSWER Which table shows a proportional relationship between x and y?
1 answer:
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Answer:
1)
2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Step-by-step explanation:
1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:
Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:
Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:
2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have
After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Answer:
a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
b) The expected number of available places when the limousine departs is 0.1.
c)
Step-by-step explanation:
For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The expected value of the binomial distribution is given by:
The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.
This means that
35% of all those making reservations do not appear for the trip.
This means that 100 - 35 = 65% appear, so
A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So
In which
0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
B) If six reservations are made, what is the expected number of available places when the limousine departs?
The expected number of arrivals is given by:
Since the are four places:
4 - 3.9 = 0.1
The expected number of available places when the limousine departs is 0.1.
C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
This is the probability of each outcome. So