Answer:80students
Step-by-step explanation:
Using set notation concept,
n(U) be the total number of student = 200
n(AnS') be those that earned Bachelor in Art only= 120
n(A'nS) be those that earned Bachelor in Science only= 40
n(AnS) be students that earned both degrees.
Using the formulae below to calculate n(AnS) first;
n(AuS)=n(A'nS)+ n(AnS)+n(AnS')
200=40+n(AnS)+120
200=160+n(AnS)
n(AnS)=40
This shows that 40students earned bachelor in both degrees
Those that earned Bachelor in science degree will then be n(A'nS)+n(AnS) i.e 40+40 =80students.
NB: A' means complement of A(A not included)
'n' denote intersection and 'u' denote union.
Answer:
0
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m

I am joyous to assist you anytime.
It's the mean of (2.57 x 10) minus 4
The mean is the average.
Answer:
120
Step-by-step explanation:
The surface area of a rectangular prism with length of
12, a width of 5 is:
120 square units.
Answer:
x=4
Step-by-step explanation:
sqrt(x+5) = sqrt(x)+1
Square each side
(sqrt(x+5))^2 = (sqrt(x)+1)^2
x+5 = (sqrt(x)+1)^2
Foil
x+5 = (sqrt(x)) ^2 + sqrt(x) + sqrt(x) + 1
x+5 = x + 2 sqrt(x) + 1
Subtract x from each side
5 = 2 sqrt(x) + 1
Subtract 1 from each sdie
4 = 2 sqrt(x)
Square each side
4^2 = (2 sqrt(x))^2
16 = 4 x
Divide by 4
16/4 = 4x/4
4 =x
Check to see if it is extraneous
sqrt(4+5) = sqrt(4)+1
sqrt(9) = sqrt(4) +1
3 = 2+1
3=3
It is a valid solution