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3 years ago

11

If y = 3x - 4 and the domain is {-3,-1,4}, find the range.

2 answers:

GREYUIT [131]3 years ago

4 0

We could put the domain into the x values to get the y values (range).

y = 3(-3) - 4
y = -9 - 4
y = -13

y = 3(-1) - 4
y = -3 - 4
y = -7

y = 3(4) - 4
y = 12 - 4
y = 8

Nana76 [90]3 years ago

4 0

Y = 3(-3) - 4 = -9 - 4 = -13
y = 3(-1) - 4 = -3 - 4 = -7
y = 3(4) = 4 = 12 - 4 = 8

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NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used 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.

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May has 31 days in a year of 365. So

$p = \frac{31}{365} = 0.0849$

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This means that $n = 20$

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This is P(X = 2).

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

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3 0

3 years ago

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Putting the values, we get,

$1.64\times \dfrac{50}{\sqrt{25}} = 16.4$

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andre [41]

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3 years ago