I'm going to need more information before I can answer.
In math, the word "of" is another way of saying "multiply" or "times".
So, if "The amount of eye makeup Leah wears is 58 <u>of </u>the amount of eye makeup Tanya wears", this means that Leah wears 58 times the amount of eye makeup that Tanya wears.
Let us call the amount of makeup that Tanya wears
.
Then the amount of makeup that Leah wears will obviously be
.
Therefore, the ratio of the amount of eye makeup Leah wears to the amount of eye makeup Tanya wears will be given by:
![\frac{58x}{x}=\frac{58}{1}=58:1](https://tex.z-dn.net/?f=%5Cfrac%7B58x%7D%7Bx%7D%3D%5Cfrac%7B58%7D%7B1%7D%3D58%3A1)
Thus, <u>58:1</u> is the correct answer.
54 times 11 is 595 miles driven, please send me a house now :)
Answer:
The taxi drivers average profit per trip is $9.50.
Step-by-step explanation:
The taxi driver provides services in Zone A and Zone B.
Let
= destination is in Zone A and
= destination is in Zone B.
<u>Given:</u>
The probabilities are:
![P(D_{A}|A)=0.65\\P(D_{B}|A)=0.35\\P(D_{A}|B)=0.45\\P(D_{B}|B)=0.55](https://tex.z-dn.net/?f=P%28D_%7BA%7D%7CA%29%3D0.65%5C%5CP%28D_%7BB%7D%7CA%29%3D0.35%5C%5CP%28D_%7BA%7D%7CB%29%3D0.45%5C%5CP%28D_%7BB%7D%7CB%29%3D0.55)
The Expected profit are:
If the trip is entirely in Zone A the expected profit is, E (A - A) = $7.
If the trip is entirely in Zone B the expected profit is, E (B - B) = $8.
If the trip involves both the zones the expected profit is,
E (A - B) = E (B - A) = $12.
Determine the expected profit earned in Zone A as follows:
![E(Profit\ in\ A)=E(A-A)\times P(D_{A}|A)+E(A-B)\times P(D_{A}|B)\\=(7\times 0.65)+(12\times0.35)\\=8.75](https://tex.z-dn.net/?f=E%28Profit%5C%20in%5C%20A%29%3DE%28A-A%29%5Ctimes%20P%28D_%7BA%7D%7CA%29%2BE%28A-B%29%5Ctimes%20P%28D_%7BA%7D%7CB%29%5C%5C%3D%287%5Ctimes%200.65%29%2B%2812%5Ctimes0.35%29%5C%5C%3D8.75)
Determine the expected profit earned in Zone B as follows:
![E(Profit\ in\ B)=E(B-B)\times P(D_{B}|B)+E(B-A)\times P(D_{B}|A)\\=(8\times 0.45)+(12\times0.55)\\=10.20](https://tex.z-dn.net/?f=E%28Profit%5C%20in%5C%20B%29%3DE%28B-B%29%5Ctimes%20P%28D_%7BB%7D%7CB%29%2BE%28B-A%29%5Ctimes%20P%28D_%7BB%7D%7CA%29%5C%5C%3D%288%5Ctimes%200.45%29%2B%2812%5Ctimes0.55%29%5C%5C%3D10.20)
The total expected profit is:
![E (Profit)=E(Profit\ in\ A)\times P(Zone A) + E(Profit\ in\ B)\times P(Zone B)\\=(8.75\times0.50)+(10.20\times 0.50)\\=9.475\\\approx9.50](https://tex.z-dn.net/?f=E%20%28Profit%29%3DE%28Profit%5C%20in%5C%20A%29%5Ctimes%20P%28Zone%20A%29%20%2B%20E%28Profit%5C%20in%5C%20B%29%5Ctimes%20P%28Zone%20B%29%5C%5C%3D%288.75%5Ctimes0.50%29%2B%2810.20%5Ctimes%200.50%29%5C%5C%3D9.475%5C%5C%5Capprox9.50)
Thus, the taxi drivers average profit per trip is $9.50.