Answer:
25.100
Step-by-step explanation:
The thousandth place is the third digit to the right of the decimal point - tenths is the first, hundredths is the second, thousandths is the third. Since six rounds up and both nines round up, one must round up all of the way from the fourth decimal place to the tenth decimal place.
Answer:
- The probability that overbooking occurs means that all 8 non-regular customers arrived for the flight. Each of them has a 56% probability of arriving and they arrive independently so we get that
P(8 arrive) = (0.56)^8 = 0.00967
- Let's do part c before part b. For this, we want an exact booking, which means that exactly 7 of the 8 non-regular customers arrive for the flight. Suppose we align these 8 people in a row. Take the scenario that the 1st person didn't arrive and the remaining 7 did. That odds of that happening would be (1-.56)*(.56)^7.
Now take the scenario that the second person didn't arrive and the remaining 7 did. The odds would be
(0.56)(1-0.56)(0.56)^6 = (1-.56)*(.56)^7. You can run through every scenario that way and see that each time the odds are the same. There are a total of 8 different scenarios since we can choose 1 person (the non-arriver) from 8 people in eight different ways (combination).
So the overall probability of an exact booking would be [(1-.56)*(.56)^7] * 8 = 0.06079
- The probability that the flight has one or more empty seats is the same as the probability that the flight is NOT exactly booked NOR is it overbooked. Formally,
P(at least 1 empty seat) = 1 - P(-1 or 0 empty seats)
= 1 - P(overbooked) - P(exactly booked)
= 1 - 0.00967 - 0.06079
= 0.9295.
Note that, the chance of being both overbooked and exactly booked is zero, so we don't have to worry about that.
Hope that helps!
Have a great day :P
True
∠2 and ∠5 are both vertical at the vertex of the 2 straight lines
Answer:
it will take 1.4 hours for the two trains to be 294 miles apart
Step-by-step explanation:
Let t be the time taken for each train
The westbound train travels at 95 miles per hour.
Speed of westbound train = 95
time = t
Distance = speed * time = 95 t
The eastbound train travels at 115 miles per hour
Speed of eastbound train = 115
time = t
Distance = speed * time = 115 t
both trains are 294 miles apart means the distance between both trains are 294 miles
So we add the distance of both trains and set it equal to 294
95t + 115t = 294
210 t =294
t = 1.4
So, it will take 1.4 hours for the two trains to be 294 miles apart
Answer:
5.x^8.y^3
Step-by-step explanation:
15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2
= 15/3. x^(10-2). y^(5-2). z^(2-2)
= 5.x^8.y^3.z^0
= 5.x^8.y^3
