Suppose that n(u) = 200, n(a) = 135, n(b) = 105, and n( a ∩ b ) = 50.

find n( a c ∪ b ).a) 85b) 65c) 105d) 115e) 55

d) 115

Step-by-step explanation:

Given : n(U) = 200, n(A) = 135, n(B) = 105, and n( A ∩ B ) = 50.

To find :

Complement of A =

With the help pf the Venn diagram below, we have

Since , Only A = A-A ∩ B

i.e. Only A = n(A) - n( A ∩ B ) =135-50=85

Then,

Hence, the correct answer is d) 115 .

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)