Answer: Charlotte's 15 and Edgar's 7
Step-by-step explanation:
7*2=14
14+1 = 15
15 + 7 = 22
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.
2. Where C(n, r)=

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.
4. Or we could do this with the formula C(3, 2)=

5. C(8, 6)=

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
Hello from MrBillDoesMath!
Answer:
x = 10
Discussion:
A plane triangle contains 180 degrees. Adding the angles in the triangle shown in #8 gives
(4x + 7) + (3x + 13) + 90 = 180
Note the "right angle" shown in the triangle has been replaced by its 90 degree equivalent in the above equation.
Combining like terms gives
( 4x + 3x) + (7 + 13) + 90 = 180
7x + 20 + 90 = 180 => (subtract 90 from each side)
7x + 20 + 90 - 90 = 180 - 90 = 90 =>
7x +20 = 90 => (subtract 20 from each side)
7x + 20 -20 = 90 -20 =>
7x = 70 =>
x 70/7 =10.
Thank you,
MrB
Answer:
0.20 or 20%
Step-by-step explanation:
Brown shoes = 3
Black shoes = 2
Total shoes = 5
Brown pants = 1
Black shoes = 3
Total pants = 4
Brown socks =4
Black socks = 6
Red socks = 2
Total socks = 12
In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.
Summary of information:
total output = 3600 units per year
split into 18 equal orders
cost per order = $40
cost to store a unit for one year = $20
lead time (i.e. storage before shipping) = 5 days
Solution:
quantity split into 18 orders, so 3600/18= 200 units per order.
Order cost = $40 * 18 orders = $720 ..........................(A)
Storage cost:
Each order has 200 units, stored for 5 days = 200*5=1000 unit-days
storage needed for 18 orders = 1000*18 = 18000 unit-days = 50 unit-years
Total storage cost = 50 unit-years * $20 / unit year = $1000...........(B)
Total ordering cost = (A) + (B) = $720+$1000 = $1720