About the square root of 20
The correlation coefficient is -0.87; strong correlation
<h3>How to determine the correlation coefficient?</h3>
The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
<u>X Values</u>
- ∑ = 27.1
- Mean = 2.71
- ∑(X - Mx)2 = SSx = 22.569
<u>Y Values</u>
- ∑ = 89
- Mean = 8.9
- ∑(Y - My)2 = SSy = 778.9
<u>X and Y Combined</u>
- N = 10
- ∑(X - Mx)(Y - My) = -114.19
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
Read more about correlation coefficient at:
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Answer:
-38 - 12x < 200
Step-by-step explanation:
Given,
The original elevation = -38 feet,
Also, the explorer starts moving at a rate of negative 12 feet per minute.
So, the distance covered by explorer after x minutes = -12x feet,
Thus, the final elevation = original elevation + distance covered by explorer
= -38 - 12x
According to the question,
final elevation < -200 feet
⇒ -38 - 12x < 200
Which is the required inequality.
Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:

Bag 2:

Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.

For bag 1:


For bag 2:


The best buy is the one with smaller unit price
Hence, bag 2 is better to buy
There are 3 numbers as such.
First lets list all the factors of 12
1,2,3,4,6,12
now lets see which are multiples of 3
3,6 and 12 are multiples of 3
therefore we are left with
1,2 and 4