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Marta_Voda [28]
3 years ago
11

At 2pm the level of the water in the pool was 10 feet. At 6pm the level of water was 2 feet. Find the constant rate of the water

?
Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0
Assuming that the pool was drained at a constant rate, the speed at which it was drained can be expressed as a function of time. In this case, the pool level will be expressed in feet per hour.

The time changed by 4 hours (6-2), and the level of the pool changed by -8 feet (2-10). Diving the feet by the hours to get the rate of decreasing depth, we find that the rate equals -2 feet/hour.
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Assume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If 7 adult smartphone
nlexa [21]

Answer:

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smarthphone in meetings or classes, or they do not. The probability of an adult using their smartphone on meetings or classes is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

63% use them in meetings or classes.

This means that p = 0.63

7 adult smartphone users are randomly selected

This means that n = 7

Find the probability that exactly 2 of them use their smartphones in meetings or classes.

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{7,2}.(0.63)^{2}.(0.37)^{5} = 0.0578

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

8 0
3 years ago
Find the product 4 times 80
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The answer is 320 to find the product you can just do 4 times 8 and then add a zero
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Please help
ICE Princess25 [194]

brb for answer i got go find it

4 0
3 years ago
Read 2 more answers
What does the quotient rule of exponents say?
skelet666 [1.2K]
Dividin exponents with same base, subtract BOTTOM exponent FROM TOP exponent to get resulting exonent with same bse

basically
\frac{x^{m}}{x^{n}}=x^{m-n}
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Explain why the graph shown may be misleading.
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B is the most misleading because the amount of miles decreases. This would mean that the racer would have gone forward, then backward, then forward again.
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