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makvit [3.9K]
3 years ago
7

Which statement best describes why the sale price is a function of the original price?

Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:

  see below

Step-by-step explanation:

A relation is a <em>function</em> when there is exactly one output for each input. That is the case in this table, so the relation between the original price and sale price is a function.

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Suppose that the number of pounds of grapes sold by the Smalltown Co-op grocery store in a day is equally likely to be anywhere
Alex

Answer:

The height of the function for any number of pounds between 0 and 100 is 0.01.

Step-by-step explanation:

As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.

To calculate the height h of the probability density function, we can write:

\int\limits^{100}_0 {h} \, dx=1

If we solved this integration and rearrange

\int\limits^{100}_0 {h} \, dx=1\\h*(100-0)=1\\100*h=1\\h=0.01

The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

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Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

 

x = 23.9634 °C

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