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3 years ago

50 POINTS!!!!! What is the domain and range of the function in photo

Mathematics

1 answer:

Usimov [2.4K]3 years ago

6 0

Answer:

The domain is $x\ge -\dfrac{4}{3}$

The range is $y\ge -5$

Step-by-step explanation:

Consider the parent function $y=\sqrt{x}.$

The domain of this function is $x\ge 0,$ the range of this function is $y\ge 0.$

Thus, for the function $y=2\sqrt{3x+4}-5,$

the domain is

$3x+4\ge 0\\ \\3x\ge -4\\ \\x\ge -\dfrac{4}{3}$

the range is

$y\ge 2\cdot 0-5\\ \\y\ge -5$

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Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

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what is the probability that at least one error made?

For this case we want this probability:

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