Answer:

Step-by-step explanation:
We can find the total amount of ways at least a woman receives a coupon by calculating the total amount of possibilities ot distribute the coupon and substract it to the total amount of possibilities to distribute 10 coupons to the 15 men (this is the complementary case that at least a woman receives a cupon).
- The total amount of possibilities to distribute the coupons among the 20 shoppers is equivalent to the total amount of ways to pick a subset of 10 elements from a set of 20. This is the combinatiorial number of 20 with 10, in other words, 
- To calculate the total amount of possibilities to distribute the coupons among the 15 men, we need to make the same computation we made above but with a set of 15 elements instead of 20. This gives us
possibilities.
Therefore, we have
possibilities to distribute the coupons so that at least one woman receives a coupon.
I hope that works for you!
Answer:
yx+2
Step-by-step explanation:
The answer for this question is 4.5
She earns 20 dollars as a carpenter and 25 dollars as a blacksmith
b+c=30 hours since she works 30 hours a week
25b+20c=690 since she earns 690 dollar totally and earns 25 dollars an hour as a blacksmith and 20 dollars an hour as a carpenter
lets multiply b+c=30 by -20
-20b-20c=-600
if we substract that from
25b+20c=690
5b=90
b=18 she worked as a blacksmith for 18 hours
Find the vertex form Y=3(x+3^2-34