Answer:

Step-by-step explanation:
Given
Let
Undergraduates
Graduates
So, we have:
-- Total students
--- students to select
Required

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.
First, we calculate the total possible selection (using combination)

So, we have:





Using a calculator, we have:

The number of ways of selecting 2 from 3 undergraduates is:




The number of ways of selecting 2 from 5 graduates is:




So, the probability is:




Answer:
(6y - 1)(6y + 1)
Step-by-step explanation:
To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.
Such that
a² - b² = (a - b) (a + b)
Hence 36y² - 1
= 6²y² - 1²
= (6y)² - 1²
= (6y - 1)(6y + 1)
Answer:
x= 1
QS = 10 cm
QRS = 40cm
Step-by-step explanation:
4x + 1 = 5x
x= 1 cm
QS = 4x + 1 + 5x
= 9x + 1
= 9 + 1
= 10cm
QRS perimeter
QS + RQ + RS but ( RQ = RS)
= 10 + 15 + 15
= 40cm
Answer is 5.85 see picture