Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this i
2 answers:
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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:
The circumference of the cake board is <u>35π cm</u>.
Step-by-step explanation:
The question is incomplete, so the complete question is below:
A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.
Now, to find the circumference of the cake board.
As, given diameter of cake = 30 cm.
And diameter of cake board is 5 cm longer than that of the cake.
Thus, the diameter of cake board is:
So, to find the circumference we need radius, by putting formula:
Now, to get the circumference of the cake board we put formula:
Therefore, the circumference of the cake board is 35π cm.