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3 years ago

dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

y------> the total cost

x------> the number of shirts

we know that

The linear equation is

$y=1.50x+4.50$ ------> equation of the line

To graph the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Find the y-intercept

For x=0

$y=1.50(0)+4.50=4.50$

The y-intercept is the point (0,4.50)

Find the x-intercept

For y=0

$0=1.50x+4.50$

$1.50x=-4.50$

$x=-4.50/1.50=-3$

The x-intercept is the point (-3,0)

Plot the intercepts to graph the line

see the attached figure

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Answer:

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2 years ago

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3 years ago

The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A

Aloiza [94]

Answer:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

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So we want to find this probability:

$P(-1.515$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

$\mu=37$ and $\sigma=28$ and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

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3 years ago

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andrew11 [14]

Four less than p.
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3 years ago

Read 2 more answers

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igomit [66]

Answer:

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Step-by-step explanation:

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2 years ago

dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation​

dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation