Exercise 10.12.3: more on distributing coupons. about 10 coupons are given to 20 shoppers in a store. each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men. (a) if the coupons are identical, how many ways are there to distribute the coupons so that at least one woman receives a coupon? (b) if the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon? (c) if the coupons are identical, how many ways are there to distribute the coupons so that at least one woman does not receive a coupon? (d) if the coupons are different, how many ways are there to distribute the coupons so that at least one woman does not receive a coupon?

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

step-by-step explanation: