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
(3x+4)+(5x2-1)+(2x+6)
remove unnecessary parenthesis
3x+4+(5x2-1)+(2x+6)
3x+4+(10-1)+2x+6
subtract the numbers
3x+4+9+2x+6
collect the like terms
5x+4+4+9+6
5x+19
12-pack for 1.69 is a better buy
<em><u>Solution:</u></em>
Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18
We have to find which is the better buy
First we have to find the unit rate
Unit rate is cost of 1 pack
<em><u>Mike bought a 12-pack for 1.69</u></em>
Therefore,
Cost of 12 pack = 1.69
Cost of 1 pack is found by dividing 1.69 by 12

Thus unit rate of Mike is 0.14083 dollar per pack
<em><u>Mary bought a 24-pack for 3.18</u></em>
Cost of 24 pack = 3.18
Cost of 1 pack is found by dividing 3.18 by 24

Thus unit rate of Mary is 0.1325 dollars
<em><u>On comparing both the unit rate</u></em>

Thus unit rate of Mike is larger
Thus, 12-pack for 1.69 is a better buy
The perimeter of triangle ABC is 24 units
Step-by-step explanation:
There is a fact in any triangle, the segment joining the mid points of
two sides of the triangle is:
- Parallel to the third side
- Its length is half the length of the third side
In Δ XYZ
∵ A is the mid point of XY
∵ B is the mid point of YZ
∴ AB =
XZ
∵ XZ = 18 units
∴ AB =
× 18 = 9 units
∵ C is the mid point of XZ
∵ B is the mid point of YZ
∴ BC =
XY
∵ AY = 7 units
∵ AY =
XY
∴ 7 =
XY
- Multiply both sides by 2
∴ 14 = XY
∴ BC =
× 14 = 7 units
∵ A is the mid point of XY
∵ C is the mid point of XZ
∴ AC =
YZ
∵ BZ = 8 units
∵ BZ =
YZ
∴ 8 =
YZ
- Multiply both sides by 2
∴ 16 = YZ
∴ AC =
× 16 = 8 units
∵ The perimeter of any triangle is the sum of the lengths of its sides
∴ Perimeter Δ ABC = AB + BC + AC
∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units
The perimeter of triangle ABC is 24 units
Learn more:
You can learn more about triangles in brainly.com/question/10677255
#LearnwithBrainly
I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75