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soldier1979 [14.2K]
3 years ago
13

the number of printers sold since 2003 at mike's office supply store can be modeled by the function N (t) = 15t + 85 and the pri

ce per printer can be modeled by P (t) = 15t2 - 32t + 126, where t is the number of years since 2003. according to this model. what is the total amount of revenue generated by the sales of printers in the office supply store in 2009?
Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

82,950

Step-by-step explanation:

The number of printers sold is modeled by the function:

N(t)=15t+85

The price per printer is modeled by P(t)=15t^2-32t+126,where t is the number of years since 2003.

From 2009 to 2003, we have t=6 years.

The number of printers sold is N(6)=15(6)+85=175

The price per printer is P(6)=15(6)^2-32(6)+126=474,

The revenue generated is a number of printers times unit price.

R(6)=474*175=82950

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grin007 [14]
<h3>Answer:  112 degrees</h3>

Reason:

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We are given a weighted coin (with one side heads, one side tails), and we want to estimate the unknown probability pp that it w
Kamila [148]

Answer:

0.4060

Step-by-step explanation:

To calculate the sample proportion, phat, we take the ratio of the number of preferred outcome to the total number of trials ;

Phat = number of times coin lands on head (preferred outcome), x / total number of trials (total coin flips), n

x = 406

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Riley is saving up to buy a new television. She needs a total of $1,054.04. Riley has saved $200.66 already and earns $77.58 per
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Step-by-step explanation:

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3 years ago
Finn changes his mind and, from now on, decides to take the normal route to work everyday. On any given day, the time (in minute
Margaret [11]

Answer:

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

Step-by-step explanation:

This can be solved by the the z-score formula:

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

Z = \frac{X - \mu}{\sigma}

Each z-score value has an equivalent p-value, that represents the percentile that the value X is:

The problem states that:

Mean = 35, so \mu = 35

Variance = 81. The standard deviation is the square root of the variance, so \sigma = \sqrt{81} = 9.

Find the 33rd percentile of the time it takes Finn to get to work on any given day. Do not include any units in your answer.

Looking at the z-score table, z = -0.44 has a pvalue of 0.333. So what is the value of X when z = -0.44.

Z = \frac{X - \mu}{\sigma}

-0.44 = \frac{X - 35}{9}

X - 35 = -3.96

X = 31.04

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

Over the next 2 days, find the probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

P = P_{1} + P_{2}

P_{1} is the probability that Finn took more than 40.5 minutes to get to work on the first day. The first step to solve this problem is finding the z-value of X = 40.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{40.5 - 35}{9}

Z = 0.61

Z = 0.61 has a pvalue of 0.7291. This means that the probability that it took LESS than 40.5 minutes for Finn to get to work is 72.91%. The probability that it took more than 40.5 minutes if P_{1} = 100% - 72.91% = 27.09% = 0.2709

P_{2} is the probability that Finn took more than 38.5 minutes to get to work on the second day. Sine the probabilities are independent, we can solve it the same way we did for the first day, we find the z-score of

X = 38.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{38.5 - 35}{9}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517. This means that the probability that it took LESS than 38.5 minutes for Finn to get to work is 65.17%. The probability that it took more than 38 minutes if P_{1} = 100% - 65.17% = 34.83% = 0.3483

So:

P = P_{1} + P_{2} = 0.2709 + 0.3483 = 0.6192

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

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Answer:

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Step-by-step explanation:

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Thus, voltage measurement of batteries involves ratio level of measurement.

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