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Hunter-Best [27]
3 years ago
9

The function ​P(x)equals0.35xnegative 76 models the relationship between the number of pretzels x that a certain vendor sells an

d the profit the vendor makes. Find Upper P (700 )comma the profit the vendor makes from selling 700 pretzels.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

P(X=700) =0.35*700 -76= 169

Step-by-step explanation:

For this case we have the following profit function:

P(X) = 0.35 X -76

And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:

P(X=700) =0.35*700 -76= 169

The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.

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Answer:

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Step-by-step explanation:

Data

Dividend = 8x⁴ - 2x² + 6x - 7

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Quotient = 4x³ + px² - qx + 3

Process

1.- Divide using long division

                                4x³ - 2x² + 3                          

                   2x + 1   8x⁴ + 0x³ - 2x² + 6x - 7

                             - 8x⁴ - 4x³

                                 0   - 4x³ - 2x²

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                                                          -6x - 3

                                                             0 - 10    Remainder

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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
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Answer:

a) P(X

P(z

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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".  

Part a

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

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Where \mu=4.5 and \sigma=1.7

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using excel or the normal standard table:

P(z

Part b

We are interested on this probability

P(X>3.0)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)

And we can find this probability using excel or the normal standard table:

P(z>1.47)=1-P(z

Part c

P(3

And we can find this probability using excel or the normal standard table liek this:

P(-0.882

3 0
3 years ago
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