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4 years ago

Which relations are functions?

Mathematics

1 answer:

pychu [463]4 years ago

5 0

For a relation to be a function every x value will have a single y value.

The first one has two x values of -2 but their y values are different so can’t be a function.

The second one has two 10’s with different y values so isn’t a function.

The 3rd one has 1 and -1 with the same y value, so isn’t a function.

The correct answer is the 4th choice

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The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the p

Semmy [17]

Answer:

The probability is $P(\= X > x ) = 0.78814$

Step-by-step explanation:

From the question we are given that

The population mean is $\mu = 149$

The standard deviation is $\sigma = 14$

The random number $x = 147.81$

The sample size is $n = 88$

The probability that the sample mean would be greater than $P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )$

Generally the z- score of this normal distribution is mathematically represented as

$Z = \frac{ \= x - \mu }{\sigma_{\= x} }$

Now

$\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{14 }{\sqrt{88} }$

$\sigma_{\= x } = 1.492$

Which implies that

$P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )$

$P(\= X > x ) = P( Z > -0.80 )$

Now from the z-table the probability is found to be

$P(\= X > x ) = 0.78814$

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Need help with this<br><br>Need now

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Answer:

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Step-by-step explanation:

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