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3 years ago

11

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=34(

3)−x6, find the revenue if 6 units are sold. Round to two decimal places.

1 answer:

Fudgin [204]3 years ago

4 0

Rawr jshsjsjsjshhsjsjsj

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Is the point (5,8) a solution to the system of equations shown below? Justify your response

AlladinOne [14]

Step-by-step explanation:

For the point (5,8) to be a solution to the equations, when you insert x=5 and y=8 , they have to equal to the given values

substituting (5,8) into 4x+y

4(5)+8

=20+8

=28

substituting(5,8) into x-y=3

5-8

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2 years ago

Solve the system of linear equations by elimination.<br><br> 9x−2y=349x−2y=34<br> 5x+2y=−6

stealth61 [152]

So combine all the x and the Y on the left side and the coefficients on the right and then multiply the variable (x or Y) by the number needed for both. and then whichever variable you have left (x or y) will equal the coefficient and then divide by the coefficient

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3 years ago

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

Molodets [167]

Answer:

10.38% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes.

99.55% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mildly obese

Normally distributed with mean 375 minutes and standard deviation 68 minutes. So $\mu = 375, \sigma = 68$

What is the probability (±0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes?

So $n = 6, s = \frac{68}{\sqrt{6}} = 27.76$

This probability is 1 subtracted by the pvalue of Z when X = 410.

$Z = \frac{X - \mu}{s}$

$Z = \frac{410 - 375}{27.76}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962.

So there is a 1-0.8962 = 0.1038 = 10.38% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes.

Lean

Normally distributed with mean 522 minutes and standard deviation 106 minutes. So $\mu = 522, \sigma = 106$

What is the probability (±0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes?

So $n = 6, s = \frac{106}{\sqrt{6}} = 43.27$

This probability is 1 subtracted by the pvalue of Z when X = 410.

$Z = \frac{X - \mu}{s}$

$Z = \frac{410 - 523}{43.27}$

$Z = -2.61$

$Z = -2.61$ has a pvalue of 0.0045.

So there is a 1-0.0045 = 0.9955 = 99.55% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes

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3 years ago

Do diagonals of a rhombus bisect the vertex angles???

katrin [286]

Answer:

Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.

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3 years ago

I WILL GIVE 60 POINTS IF CORRECT PLEASE ANSWER *photo below*

Andrews [41]

Answer:

10. 27 shoes

11. No, both are 18, they are equal

12. 96 dogs

13. 125 students

14. 600 students

15. 50 tulips

16. 70 cars

17. Rory divided the percentage by the number (#/%=#)

Step-by-step explanation:

To find a percentage of somethin, multiply the number by the percent

(54 shoes x 50% (0.50) = 27 shoes)

To find the original number, divide the new number by the percentage

(25 students/20% (0.20) = 125 students)

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2 years ago