Drains and me are used to empty a swimming pool. Train eight alone can empty the pool in 4.75 hours. How long will it take train
1 answer:
<h2>Answer:</h2><h2>It takes 5.744 hours for drain B to empty the pool.</h2>
Step-by-step explanation:
Let drain A nad be are used to empty a swimming pool.
Given drain A alone can empty the pool in 4.75 hours.
When both A and B are open, it takes 2.6 hours.
The time taken by B to draint the pool = ?
2.6 (t+4.75) = 4.75t
2.6t + 12.35 = 4.75t
t = 5.744 hours
It takes 5.744 hours for drain B to empty the pool.
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Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula . Plugging in the numbers you get
=1.7748.
Answer:
3)
4)
Step-by-step explanation:
distance between two points:
we have:
3) (6, -2), (8, -3)
so we have:
4) (7,-8), (-8, 2)