Answer:
The probability of picking at least three boys is 
.
Step-by-step explanation:
We have to choose 5 people to form a student government.
We have to pick 5 people out of 7 girls and 5 boys.
What is the probability that at least 3 boys are a part of the student government?
The probability of picking 5 people out of 12 girls and boys = 
The probability of picking at least 3 boys excludes the probability of picking 3 girls. The probability of picking 3 girls = 
The probability of picking at least 3 boys = 1 - = 
The probability of picking 5 people and the probability of picking at least 3 boys = × =
Answer:
The ratio of red to blue would be 60: 6 which can be simplified to 10:1.
The given equations are
5x + 7y = 7
3x - 2y = 9
As a matrix equation,
A = [5 7
3 -2]
X = [x
y]
C = [7
9]
That is
a =5, c=7; and b=3, d=-2
a - b + c + d = 5 - 3 + 7 + (-2) = 7
Answer: 7
Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
Answer:
Step-by-step explanation:
Given the equation
Note that
and
Combined, 
Solve the equation:
Since 
this is the solution to the equation.
