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Aroon is asked to choose five integers so that the mode is 2 more than the median and the mean is 2 less than the median.

torisob [31]

The mean is the sum of observations divided by number of observations.

x bar = (∑x)/n
The median is the middle value of the ordered data or the value of the interval n+1/2 for odd numbered data.
The mode is the repeated value.

<h3>The highest value is 0</h3>

Number of observations= n= 5
Median is the 3rd value when the data is arranged.
Mode is unknown

The relation between Mean, Median and mode is given by

Mode= 3 Median - 2Mean---- equation1

According to the given condition

Mode= 2+median ----- equation 2

Putting equation 2 in equation 1

2+median= 3 Median - 2Mean

2 Mean= 3 Median - 2- Median

2 Mean= 2 Median - 2

Mean= Median-1

Mean- Median=1--------Eq. A

According to the second condition

Median- Mode=-2-----------eq. 3

Putting eq. A in eq. 3

Mean -1 - Mode=-2

Mean- Mode=-1

or

Mode- Mean=1------equation 4

Adding equation A and equation4

Mode- Mean=1

Mean- Median=1

Mode+ Median =2------- equation5

Again Putting equation2 in equation 5

2+median + Median =2

2 Median =2-2

2 Median =0

Median=0

Mean= 0-1

Mean= 0-1=-1

Mode- Mean=1

Mode-(-1)=1

Mode=0

Putting values in the formula of mean

x bar =∑x/5

(-1)5 = 0+0+ x1+x2+0

-5= x1+x2

So the highest value is 0.

Learn more about mean here

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Find the perimeter. Perimeter = [?] Simplify your answer completely.

viktelen [127]

The answer would be 119 and 4/7

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2 years ago

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Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. W

kirill115 [55]

Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.

Part A.....let x be the amount he earned on Sunday.....so

Amount earned on Saturday + amount earned Sunday =

11 + x =

Represents the total amount he earned

Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.

Part B

Let N be the number of dogs that Kyle walked

Hope this helps.!!!!!

Then, Larry walked 2N + 4 dogs

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3 years ago

The circle graph represents the number of sixth-grade and seventh grade students on academic teams at a middle school. Based on

hammer [34]

I would say A sorry if I am

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3 years ago

Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x

uranmaximum [27]

Solution: The average rate of change of $\frac{-14}{3}$ represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by $\frac{-14}{3}$ it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = $\frac{-y}{15}$ .

It is given that the rate of change is $\frac{-14}{3}$ .

Equate both equations.

$\frac{-y}{15}=\frac{-14}{3}$

$y=15(\frac{14}{3} )$

$y=5(14)$

$y=70$

Therefore, the average rate of change of $\frac{-14}{3}$ represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

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4 years ago

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