Answer:
The probability that a car that comes into the garage needs both an oil change and a tire rotation is
.
Step-by-step explanation:
The conditional probability of an event <em>B</em> given that another event <em>A</em> has already occurred is:
![P(B|A)=\frac{P(A\cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%3D%5Cfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28A%29%7D)
Denote the events as follows:
<em>X</em> = cars brought in for service need an oil change
<em>Y</em> = cars brought in for service need a tire rotation
The information provided is:
![P(X)=\frac{3}{5}](https://tex.z-dn.net/?f=P%28X%29%3D%5Cfrac%7B3%7D%7B5%7D)
![P(Y|X)=\frac{4}{7}](https://tex.z-dn.net/?f=P%28Y%7CX%29%3D%5Cfrac%7B4%7D%7B7%7D)
Compute the value of P (X ∩ Y) as follows:
![P(Y|X)=\frac{P(X\cap Y)}{P(X)}](https://tex.z-dn.net/?f=P%28Y%7CX%29%3D%5Cfrac%7BP%28X%5Ccap%20Y%29%7D%7BP%28X%29%7D)
![\frac{4}{7}=\frac{P(X\cap Y)}{3/5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%3D%5Cfrac%7BP%28X%5Ccap%20Y%29%7D%7B3%2F5%7D)
![P(X\cap Y)=\frac{4}{7}\times \frac{3}{5}](https://tex.z-dn.net/?f=P%28X%5Ccap%20Y%29%3D%5Cfrac%7B4%7D%7B7%7D%5Ctimes%20%5Cfrac%7B3%7D%7B5%7D)
![=\frac{12}{35}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B12%7D%7B35%7D)
Thus, the probability that a car that comes into the garage needs both an oil change and a tire rotation is
.
If the x value is repeated is is not a function. (unless it is a negative and a positive)
So lets see:
For A we have 3 6 9 12 no repeations so therefore It is A
For B we have 2 2 3 9, 2 is repeated so therefore it is B
For C we have 4 6 4 6, both 4 and 6 were repeated so therefore is is B
and lastly for D we have 3 5 6 6
And 6 was repeated so therefore it is B.
A)A
B)B
C)B
D)B
Answer:
Precio de compra=$125.000
Ganancia= $25.000
Step-by-step explanation:
Dada la siguiente información:
Revalorización= 20%
Precio de venta= $150.000
<u>Para calcular el precio de compra, tenemos que usar la siguiente formula:</u>
Precio de compra= precio de venta / (1 + revalorización)
Precio de compra= 150.000 / (1,2)
Precio de compra=$125.000
Ganancia= 150.000 - 125.000
Ganancia= $25.000
Answer:
A
Step-by-step explanation:
Because Alternative Exterior angle