Answer:
A) N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B)N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
Step-by-step explanation:
A) the number of ways a 3-person subcommittee be selected from a committee of 6 people N;
Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.
N = nCr
N = 6C3
N = 6!/3!(6-3)! = 6!/3!3!
N = 720/(6×6)
N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 people N;
In this case, there is a given order of selection for the 3 posts. This is a permutation.
N = nPr
N = 6P3
N = 6!/(6-3)!
N = 6!/3!
N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.
<h3>How to compute the equation?</h3>
Your information is incomplete. Therefore, an overview will be given.
Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:
H = (2 × V) + 3
H = 2V + 3
In conclusion, the equation is H = 2V + 3.
Learn more about equations on:
brainly.com/question/2972832
Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
Answer:
0
Step-by-step explanation:
find mean : 2+3+4+7 divided by 4 equals 4
subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,
find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)
