Answer:
5.05
Step-by-step explanation:
find area of 1 small bubble
πr² = π × 5²
= 78.54
total area of 4 small bubble
78.54 × 4 = 314.16
total area of 4 small bubble = area of big bubble
= 314.16
find it's radius
πr² = 314.16
r² = 314.16 ÷ π
r² = 100
r = √100
r = 10
A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport A, five go to airport B, and one goes to airport C. In how many distinct ways can this be accomplished?
2.44) Refer to Exercise 2.43. Assume that taxis are allocated to airports at random.
a) If exactly one of the taxis is in need of repair, what is the probability that it is dispatched to airport C?
b) If exactly three of the taxis are in need of repair, what is the probability that every airport receives one of the taxis requiring repairs?
So, my answer to 2.44a is 1/9. Hopefully this is correct at least :)
For 2.44b, my guess was
(3C1)(1/3)(2/3)2 * (5C1)(1/3)(2/3)4 * 1/3
The solutions manual on chegg (which seems to be riddled with errors) says something completely different. Is my calculation correct?
Answer:
In a coordinate axis, the horizontal line is called the x-axis, and the vertical line is called the y-axis.
1) Then if you have a point (x, y), to graph this you go at the horizontal axis to find the value x,
2) Starting from the point you already found, now you need to move y units in the vertical axis.
Now we want to graph the point (0, 3.5).
First we need to locate the value 0 in the horizontal axis, this is the point where both axes intersect.
Now we move 3.5 units, because the number is positive, we move 3.5 units upwards.
The graph of the point is shown below.