Answer:
A dilation is a change in size of a shape
Step-by-step explanation:
to do a dilation you keep the angle measure of the angles of the shape the same while multiplying the length of the sides by the scale factor
Answer:
Step-by-step explanation:
x+1· x+2=7
Simplify x+1· x+2: 2x+2x+1· x+2
Add similar elements: x+1· x=2x=2x+2
2x+2=7[ 2x+2=7 ]
Isolate x for 2x+2=7: x=52 2x+2=7
Subtract 2 from both sides
2x+2−2=7−2
Simplify
2x=5
Divide both sides by 2
2x2 =52 Simplify
Answer:
This function represents a direct variation because it passes through the origin and has a constant rate
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
Answer: because √-1 complex number ; and -√1 real number
Step-by-step explanation:
because √-1 complex number ; and -√1 real number or 
