Answer:
6750
Step-by-step explanation:
simple interest = P×r%×t
P = $6000
r = 2.5%
t = 5 years
I = 6000 × 2.5/100 × 5
= 750
6000 + 750 = $6750
72
A=a+b/2*hA=12
A=12*12/2
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Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:
Solve for x
So:
At this point, we have established that the rhombus is made up 4 triangles of the following dimensions
So, the area of the rhombus is 4 times the area of 1 triangle
<u>Answer- </u>D. There is a strong negative association between the variables
<u>Solution-</u>
Properties of Correlation Coefficient
1- Its value ranges between -1 and 1.
2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.
3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.
4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)
So there is a strong negative association between the variables.
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
(2, 0), (-3, 3), (9, 1), (-3, 5) NOT
(9, 1), (-3, 4), (2, 1), (9, 2) NOT
(2, 4), (-3, 2), (9, 1), (-7, 2) YES
(2, 4), (-3, 6), (2, 3), (-7, 2) NOT