
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
Step-by-step explanation:
RT × TS = PT × TQ
Answer:
Dinner only: $75
Dinner and Tip: $90
Step-by-step explanation:
If the tip was $15, and the tip was 20% of the price of dinner, then dinner was $75.
You can find this out by doing 15/20%, which should give you 75.
If the question requires you to add up the price of dinner and the tip, then the total price would be $90
<span>"Pater romuli remique erat _______" translates as "The father of Romulus and Remus is____". The answer is 1) Mars. According to myth Rhea Silvia, who is the mother of the two brothers, claimed that the father of her children was the god Mars.</span>
Solution to equation
for all real values of x is
.
<u>Step-by-step explanation:</u>
Here we have ,
. Let's solve :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
By quadratic formula :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
But at
we have equation undefined as
. Hence only solution is :
⇒ 
Since , 
⇒ 
Now , General Solution is given by :
⇒ 
Therefore , Solution to equation
for all real values of x is
.