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Zina [86]
3 years ago
13

Which measure of central tendency is least appropriate for describing the given data set?. 6, 6, 6, 7, 8, 8, 29. . a. mode. b. m

edian. c. mean. . i think mode, is it right??
Mathematics
1 answer:
maksim [4K]3 years ago
4 0
Mode is which number appears the most. Mean is adding up all the numbers and dividing by the amount of numbers. Median is the middle number of the ordered numbers from least to greatest. Look at the set. they are in order so median is off. Numbers appear more than once so mode is off. However, mean is not there. We don't have an average. (adding up the numbers and dividing by amount.) So the answer should be mean. 

good luck!
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You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). O
Neko [114]

Answer:

a)q(p)=-15p+ +300

b)R(p)=-15p²+300p

c)C(p)=-30p+1600

d.1)P(p)=-15p²+330p-1600

d.2)p=$11

Step-by-step explanation:

(a).Before getting started, we are going to consider  the cartesian plane, where x-axis corresponds to the cover charge and y-axis corresponds to number of guests per night . There, we will locate the following coordinates according to the previous information:

(9,165)  (10,150).

Remember that  the slope-intercept form of the  linear equation is y=mx+b where m is the slope and b  is te intercept.

The slope can be calculated  by the next formula:

m=\frac{y2-y1}{x2-x1}

In this case we will assign  (9,165) as the first coordinate and (10,150) as the second one. The order does not matter. At the end we get the same value for m.

Therefore:

m=\frac{150-165}{10-9} = -15

Now, we have the slope and two poitns. According to this, and taking into account that  point-slope form of the equation of a line is y-y1=m(x-x1),   find a linear demand equation.

Any of two coordintates can be selected. In this case we will select the second one.

y-150=-15(x-10)   equation 1

Solve equation 1 for y

y=-15x+150+150

y=-15x+300

Above we had defined x as cover charge (p) and y as number of guests (q). Thus, rewrite equation 1.

q(p)=-15p+ +300.  

it equation shows the number of guests per night as a function of the cover charge,

(b). The nightly revenue can be calculated multplying the price of the cover charge by  the number of guests. So, we just have to multiply the equation 1 by p.

p*q(p)=p*(-15p +300)

R(p)=-15p²+300p   equation 2

(c) To get the cost function of the nightclub  we just have to multiply the cost of the two non-alcoholic drinks   by the number of the guests ( equation 1) and add to it  nightly overheads.

C(p)=2*(-15p+300)+1000

C(p)= -30p+600+1000

C(p)=-30p+1600  equation 3

(d) In order to find the profit in terms of the cover charge we will  subtract nightly costs ( equation 3) from nightly revenue (equation 2)

P(p)=R(p)-C(p)

P(p)=-15p²+300p - (-30p+1600)

P(p)=-15p²+300p+30p-1600

P(p)=-15p²+330p-1600

To determine that  the entrance fee we should charge for a maximum profit we are going to use the first derivative test (y'(x)=0) in order to find an extremum point.

Compute the first derivative of P(p)

P'(p)=-30p+330=0

30p=330

p=330/30

p= $11

The entrance fee that we should charge for a maximum profit is p=$11 per guest.

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3 years ago
Examine the power.
Semenov [28]
Answer is 325 your welcome
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3 years ago
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How do I make the table? With what numbers?
zaharov [31]
The numbers they are looking for are numbers that are simple but made up. For example, start with 0. Plug 0 in for x, so the corresponding value of y is 10. For a second value, you could do 2. When x=2, y=11, etc. So essentially, put in some simple numbers for x, and solve for y. :)
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3 years ago
Explain how you can determine whether or not a number is rational
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The easiest way to tell if a number is rational or not is to attempt to express it as a fraction. If you can, then the number is rational. If not, then the number is irrational. All integers are rational numbers, because they can be written as a fraction (for example, the integer 8 = 8/1). But numbers like pi or sqrt(2) cannot be written as a fraction and are not rational.
8 0
3 years ago
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An angle measures 12 degrees less than three times it's supplement. Find the measure of the angle.
Aleonysh [2.5K]

supplementary angles = 180 degrees

 so x = angle 1

y = angle 2

y = 3x-12

x + 3x-12 =180

4x-12 = 180

4x = 192

x = 192/4 = 48

y = 3(48) -12 = 144-12 = 132

132 +48 = 180

 the angle is 132

4 0
3 years ago
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