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Artist 52 [7]
3 years ago
9

Find the GCF of the terms of the polynomial. 33x^3 + 18^6

Mathematics
1 answer:
Ronch [10]3 years ago
5 0

33x^3=\boxed{3}\cdot11\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{x}\\\\18x^6=2\cdot\boxed{3}\cdot3\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\cdot x\\\\GCF(33x^3,\ 18x^6)=\boxed{3}\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{x}=3x^3

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In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at
Rudiy27

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

<u>The output level where a purely monopolistic market will maximize profit</u>

<u>at MR = MC </u>

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

7 0
2 years ago
Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th
KatRina [158]

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

IQR= Q_3 -Q_1

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

8 0
3 years ago
Divide and Simplify:<br> 16 2/3 divided by 1/6
Yakvenalex [24]

Answer: 16 2/3 divided by 1/6= 100

5 0
2 years ago
Read 2 more answers
What is the solution to equation 3 1/2 + p = 5 1/4?
Tatiana [17]

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Karo-lina-s [1.5K]

Answer:

y = x + -2.3

x = -y - 2.3 (but why would one need this?...)

Step-by-step explanation:

(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1

6.1 = 8.4 + b

b = -2.3

8 0
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