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katrin [286]
3 years ago
13

The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rain

fall for the lowlands is about 3 mm less than for the highlands. Why is there a difference in the central measures for each data set?
Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0

Answer: The mean and the median are different because the data for the highlands has more variation than the data for the lowlands. The mean is affected by the outliers in the lowlands data.


Step-by-step explanation:


mariarad [96]3 years ago
5 0
There is a difference because in the spring, there may be more days of rain, therefore that would increase the mean for the spring compared to the other days. 
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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
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3 years ago
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Hey There!

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