A large rectangular swimming pool is 1,000 feet long 100 feet wide and 10 feet deep how much water does the pool hold?
1 answer:
ANSWER
The swimming pool can hold 1,000,000 cubic feet of water.
EXPLANATION
The capacity of water the pool holds is the volume of water in the swimming pool.
The swimming pool is rectangular, therefore its volume can be calculated using the formula,
where l=1000ft is the length, w=100ft is the width and h=10ft is the height of the pool.
We substitute all these values into the formula to get:
The swimming pool can hold 1,000,000 cubic feet of water.
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Answer:
a. p = 0.25
b. n = 10, p = 0.25.
c. n = 10, p = 0.25.
d. n = 20, p = 0.25.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
a. For any single question on the quiz, what is p = chance of a correct guess?
4 options, 1 of which is correct. So
So p = 0.25.
b. Let X = number of correct guesses that Isabelle makes. What are the values of n and p for the binomial distribution that describes X?
Should be Ed here.
Ed guesses answers for the first 10 questions
This means that .
p is the same, so n = 10, p = 0.25.
c. Let Y = number of correct guesses that Taylor makes. What are the values of n and p for the binomial distribution that describes Y?
10 question, so , p is the same.
d. Consider X + Y = total correct guesses that Isabelle and Taylor make. What are the values of n and p for the binomial distribution that describes X + Y?
20 questions, so
10 for Ed, with 0.25 probability, 10 for Taylor, with 0.25 probability. So
So n = 20, p = 0.25.