You will need to set up and solve 2 equations:
A) 3 Vans + 10 Buses = 379
B) 14Vans + 13 Buses = 624
Multiply equation A by -14
A) -42 Vans -140 Buses = -5,306 then Multiply equation B by 3
B) 42 Vans + 39 Buses = 1,872
Adding BOTH equations
-101 Buses = -3,434
Each Bus holds 34 Students
Putting this into equation A
A) 3 Vans + 10 Buses = 379
A) 3 Vans + 10 * 34 = 379
A) 3 Vans +340 = 379
A) 3 Vans = 39
Each van = 13 students
Answer:
1/6; 1/2; 1/12; P(T|3) = 1/2; therefore, events are independent because P(T|3) = P(T).
Step-by-step explanation:
The probability of rolling a 3 on a six-sided die is 1/6. This is because there is one 3 out of 6 possibilities.
The probability of flipping a coin on tails is 1/2. This is because there is one side "tails" out of 2 possibilities.
The probability of rolling a 3 and flipping tails is 1/6(1/2) = 1/12.
P(T|3) = P(3 and Tails)/P(3) = 1/12 / (1/6) = 1/12(6/1) = 6/12 = 1/2
Since P(T|3) = P(3), these are independent events.
Answer:
Step-by-step explanation:
Le the numbers be x and y
<u>Then we have equations:</u>
<u>As per the first equation:</u>
<u>Substitute in the second equation</u>
- 5x - 2(32 - x) = 195
- 5x + 2x - 64 = 195
- 7x = 195 + 64
- 7x = 259
- x = 259/7
- x = 37
<u>Then finding the value of y</u>
Answer:
-2
Step-by-step explanation:
(-6-4)/-5=
-10/5= -2
