The total possibilities can be 756 ways.
<h3>What is combination?</h3>
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
Given:
The number of ways in which we can select atleast 3 men in the committee are 756.
Number of men = 7
Number of women = 6
Number of people that should be selected in the committee = 5
Now,
N(M = 3) = 7C_3* 6C_2
=35*15
=525
N(M = 4) = 7C_4* 6C_1
=35*6
=210
N(M = 3) = 7C_5* 6C_0
=21*1
=21
So, total possibilities can be = 525 + 210 + 21 = 756 ways.
learn more about combination here:
brainly.com/question/28390900
#SPJ4
If you write
, you'll notice this is really just a quadratic equation that can be factorized:
So you have
and
Answer: B.
Step-by-step explanation:
There's a change of 1 in y for every 2 changes in x.
To find the slope of the line:
(y2-y1)/(x2-x1)
(14-5)/(4-1)=(9)/(3)=3
Only one of your 4 possible answers has 3 as a slope. However, plugging in each point into the y=mx+b equation, the y-intercept consistently comes out as 2..
y=mx+b
14=3(4)+b b=2
5=3(1)+b b=2
y=3x+2
If there is a consistent, positive slope (from your question, this does not seem to have a quadratic as an option), 3x+5 is not even a viable solution because x=1 when the y-value is 5 (and thus no other x value {0} could have a y-value of 5). It seems as though you have a typo on your hands. Hopefully this helps?
Answer:
The width of the room is 17.25 feet
Step-by-step explanation:
2(15.75+W)=66
Divide both sides by 2: 15.75+W=33
Subtract 15.75 from both sides: W=33-15.75=17.25
Hope this helps!
