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3 years ago

Domain range and function

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

Step-by-step explanation:

Look at the picture.

$\bold{DOMAIN:}\ 3\leq x$

Function? NOT, because for x∈(3, 5) the relation has two values of y.

The vertical line test.

If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function (picture 2).

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$f(g(x))=\dfrac{|x|+1-||x|-1|}{2}$

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The most straightforward way is direct substitution of g(x) for x in f(x):

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3 years ago

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo

muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

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According to Poisson distribution: $P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}$

Where $\lambda$ is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

$P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}$

Substitute the respective values in the above formula.

$P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})$

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