Captain umaima has a ship, the h. m.s. khan. the ship is two furlongs from the dread pirate nadia and her merciless band of thieves. the captain has probability 3/7 of hitting the pirate ship. the pirate only has one good eye, so she hits the captain's ship with probability 2/5. if both fire their cannons at the same time, what is the probability that the captain hits the pirate ship, but the pirate misses.

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Step-by-step explanation:

We have been given that captain Umaima has probability 3/7 of hitting the pirate ship.

The pirate only has one good eye, so she hits the Captain's ship with probability 2/5.

The probability that pirate misses the captain's ship will be:

So the probability that pirate misses captain's ship will be 3/5.

Since both events are independent, so by the multiplication rule of probability we will get,

Therefore, the probability that the Captain hits the pirate ship, but the pirate misses will be .

21

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).