victoriaremigio victoriaremigio
  • 22-01-2020
  • Mathematics
contestada

disjoint subsets A and B of a universal set U, except assume that n(U)=120, n(A)=45, and n(B)=50.

Then n(A′∪B)=

Respuesta :

ranikashyab066 ranikashyab066
  • 29-01-2020

Answer:

 n (A'  U  B )  = 75

Step-by-step explanation:

Here, given :  n(U)=120, n(A)=45, and n(B)=50

As we know:

n (A ' U B)  =  n(A) − n (A∩B)   ... (1)

Here, n(A) = 45

So, n( A')  = n(U) - n(A)  = 120 - 45  = 75

⇒ n(A')  = 75

Now, as given A and B are disjoint sets.

⇒   n (A ∩ B)   = Ф

So, (A'  U  B )  = A'

So, n (A'  U  B )  =n( A') = 75

⇒  n (A'  U  B )  = 75

Answer Link

Otras preguntas

the quotient of 12 and a number in algebraic expression
Marta measured the temperature as 65°f. what is the margin of error? a. 60°f to 70°f b.64°f to 66°f c.64.5°f to 65.5°f d.65.5°f to 66.5°f
15 less than twice a number in algebraic expression
how to solve b-6(7b+3)
Why would a farmer plant a food crop in am small garden plot?
i need help with #16. please show an example, i do not get this,
Math question please help if you get this right I will mark you as a brainliest
How is a debit card similar to an atm card
A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Bones fitted together in the shape of a _____ a0 give the human body structure.