Answer:
$9.80
Step-by-step explanation:
Remember that the way to find the mean of a data set is by adding together all the values, and dividing by the number of the values. So, in this case, you add the 5 values together and get 49. Since there are 5 values, you divide 49 by 5 and get 9.8, or in a real world-money situation $9.80.
Answer: B
Step-by-step explanation:
Since 
, it follows that 
<h2>$650</h2>
Step-by-step explanation:
The principal amount recieves a simple interest every year. The simple interest rate is given as 
.
It is given that the total amount after 20 years is $812.50
Here 
is the principal amount, 
is the interest rate, 
is the time period.
∴ Samson had $650 when he opened the account.
Answer:
length = 31 ft
width = 19 ft
Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
Hope this helps :)
Answer:
Relationship is linear as r is closest to 1.
Step-by-step explanation:
From statistics we know that,
![\text{Corelation Coefficient}=r=\dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]]}}](https://tex.z-dn.net/?f=%5Ctext%7BCorelation%20Coefficient%7D%3Dr%3D%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%5D%7D%7D)
Putting all the values from the table,
we get corelation factor as 0.9995
Therefore, the relationship is linear as r is closest to 1.
