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Effectus [21]
3 years ago
15

The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one

Merit award for their efforts.
aIn how many ways can the two awards be given if:

1. if the same student can receive both awards?
2.if the same student cannot receive both awards?
Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer: 1)100ways and 2)90ways


Step-by-step explanation:

Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.

Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)

=10×10=100ways

Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)

=10×9=90ways

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Julie travels 3 times as fast as Bill. Traveling in opposite directions, they are 190 miles apart after 2.5 hours. Find their ra
Mkey [24]

Answer:

Step-by-step explanation:

Let b

Bill's rate of travel = x

Let Julie's rate of travel = 3x

The time each travels is 2.5 hours

Together they travel a distance of 190 miles

d = r*t

Bill's distance covered is r * t = 2.5x

Julie's distance travel is 2.5 * 3x = 7.5x

The total distance = Bill + Julie

2.5x + 7.5x = 190

10x = 190

x = 190/10

x = 19

Bill's distance = 2.5 * 19 = 47.5

Julie's distance = 19 * 7.5 = 142.5

Rate = distance / time

Bill's rate = 47.5 / 2.5 = 19 miles per hour.

Julie's rate = 142.5/2.5 = 57 miles per hour

Is there an easier way?

You should notice that Bill's rate is just x which is 19 miles / hour

You can also notice that Julie is going 3 times as fast or 19*3 = 57

6 0
3 years ago
A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model y
IRINA_888 [86]

Answer:

Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The consideration "Given that a car is from the previous model year, there is a 10% chance that it is a coupe." wouldn't give much information. Previous year models are 10% Coupe and 25% Sedan.

Same for consideration "There is a 10% chance that the car is from the previous model year." This consideration would be good if only a specific model would be taken.

Consideration "There is a 10% chance that the car is a coupe." makes no sense because, in order for this to be true, 90% of specific models would be a sedan which table clearly shows 25%.


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Answer:

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Step-by-step explanation:

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