Helpppppppppp it’s multiple choice questions I’ll brainlist!
2 answers:
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Answer:
or
(simplified)
Step-by-step explanation:
Based on the information provided within the question it can be said that in order to calculate the probability of both grapes being green we need to find the probability of each grape being green separately and then multiply those probabilities together
In the first choice, there are a total of 22 grapes (9+13), 9 of which are green. Therefore the probability of the first chosen grape being green is
In the second choice,since we removed one grape there is now a total of 21 grapes (22-1), 8 of which are green. Therefore the probability of the second chosen grape being green is
Now we multiply both probabilities together to calculate the probability that both grapes are green in a sequence.
<u>We are given:</u>
car and train leave at the same time
average velocity of car = 50 miles/hour
average velocity of train = 70 miles/hour
train arrives 2 hours early
<u>Assuming variables and making equations!</u>
let the time taken by the train = t hours
since the car arrived late, it took more time as compared to the train
time taken by the car = t + 2 hours
since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d
<u>Distance travelled by the car:</u>
d = 50 * (t+2) hours [distance = velocity * time]
d = 50(t+2) miles
rewriting in terms of t
<u>Distance travelled by the train:</u>
d = 70 * t hours
d = 70t miles
rewriting in terms of t
now we have two expressions for t, both of which are equal because t is just the time taken by the train
<u>Finding the distance:</u>
<u></u><u></u>
<u></u><u></u>
because t is the same:
7(d - 100) = 5(d)
7d - 700 = 5d
(7d - 5d) - 700 = 0 [subtracting 5d from both sides]
2d = 700 [adding 700 on both sides]
d = 350 miles [dividing both sides by 2]
The distance between Pasadena and Sacramento is 350 miles!