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3 years ago

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In a pet store the number of fish is 120 more than three times the number of reptiles. If the pet store has 210 fish, how many r

eptiles does it have? Write a two step equation to model the scenario. Then solve the question.

1 answer:

polet [3.4K]3 years ago

4 0

Let r represent reptiles
210=3r-120
330=3r
110=r

110 reptiles

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2 years ago

Slove for X= what would this be for Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 1

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Answer:

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2 years ago

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Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

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

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.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

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$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

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What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

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3 years ago