Answer:
0.325 cm²
Step-by-step explanation:
A = bh =
*1.3*0.5 = 0.325 cm²
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
2 answers:
Answer:
Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
We are given the vertices of a quadrilateral in the coordinate plane.
We have to find the perimeter of the figure.
For doing so, we have to find the length of all the sides of a quadrilateral
The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:
after finding length of all the sides, we add the length of each side to get the perimeter.
Hence, the correct option is:
Use the distance formula to find the length of each side, and then add the lengths.
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Answer:
Average Rate of Pay = $ 5.23 /hr
Step-by-step explanation:
We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:
x (Hours) = 12 13 16 17 20
y ($) = 54 56 65 64 100
The statistical data calculated is:
∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5
Now, we use linear regression model to fit a straight line to this data.
y = a + bx --------- eqn (1)
where,
b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]
b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]
b = 5.23
and,
a = (∑xy - b∑x²)/∑x
a = [5504 - (5.23)(1258)]/78
a = -13.83
Therefore, eqn (1) becomes:
<u>y = -13.83 + 5.23x</u>
The graph plot of this straight line fit is provided in the attachments.
Now, we derivate the equation with respect to x, to get the average rate of pay:
Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)
<u>Average Rate of Pay = $ 5.23 /hr</u>
