Help with math homework pls!
1 answer:
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Answer:
The mass of each passenger is 550 kg.
The mass of front decoration is 200 Kg.
Step-by-step explanation:
Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.
To find : What is the mass of the decoration and of each passenger car?
Solution :
Let the mass of each passenger is x.
Let the mass of front decoration is y.
- When the number of passenger = 6
Mass of 6 passengers and front decoration = 3500 kg.
The equation form is ..........[1]
- When the number of passengers = 4
Mass of 4 passengers and front decoration = 2400 kg.
The equation form is ........[2]
Solving equation [1] and [2]
Subtract equation [2] from [1],
Put value in [1],
Therefore, The mass of each passenger is 550 kg.
The mass of front decoration is 200 Kg.
Answer:
The probability that either Alex or Bryan get an A is 0.9
Step-by-step explanation:
Before we proceed to answer, we shall be making some important notation;
Let A = event of Alex getting an A
Let B = event of Bryan getting an A
From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ ) = 0.1
We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)
We can use the addition theorem here;
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) .......................(i)
Also,
P(A) = P(A ∩ ) + P(A ∩ B) .........................(ii)
We can insert ii into i and we have;
P(A ∪ B) = P(A ∩ ) + P(A ∩ B) + P(B) - P(A ∩ B) = P(A ∩
) + P(B) = 0.1 + 0.8 = 0.9