Answer:
The correct option is <u>$2.50</u>.
Step-by-step explanation:
This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:
Slice of pizza Total cost of lunch ($) Change in total cost of lunch ($)
0 7.5 -
1 10 2.5
2 12.5 2.5
3 15 2.5
4 17.5 2.5
5 20 2.5
6 22.5 2.5
7 25 2.5
8 27.5 2.5
Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.
Therefore, the correct option is <u>$2.50</u>.
<span>If there has to be 2 men and 2 women, we know
that we must take a group of 2 men out of the group of 15 men and a group of 2
women out of the group of 20 women. Therefore, we have:
(15 choose 2) x (20 choose 2)
(15 choose 2) = 105
(20 choose 2) = 190
190*105 = 19950
Therefore, there are 19950 ways to have a group of 4 with 2 men and 2women.</span>
<span>If there has to be 1 man and 3 women, we know
that we must take a group of 1 man out of the group of 15 men and a group of 3
women out of the group of 20 women. Therefore, we have:
(15 choose 1) x (20 choose 3)
(15 choose 1) = 15
(20 choose 3) = 1140
15*1140 = 17100
Therefore, there are 17100 ways to have a group of 4 with 3 women and 1 man.</span>
<span>We now find the total outcomes of having a group
with 4 women.
We know this is the same as saying (20 choose 4) = 4845</span>
Therefore, there are 4845 ways to have a group of
4 with 4 women.
We now add the outcomes of 2 women, 3 women, and
4 women and get the total ways that a committee can have at least 2 women.
19950 + 17100 + 4845 = 41895 ways that there will
be at least 2 women in the committee
Answer:
Yes it will be able to make the journey in under a year.
Step-by-step explanation:
To find out how many hours it will take 
and divide by 8400
So it will take the space ship 190.476 hours to make the trip.
Next, ask our self, how many hours are in a year?
To find out multiply 365 * 24 = 8760 hr
The 365 = number of day in a year. The 24 = number of hours in a day.
Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph
