Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
<h3>What is the weighed mean?</h3>
The weighed mean is given by the <u>sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights</u>.
In this problem, the weights are as follows:
- A quiz has a weight of 1.
- A test has a weight of 2.
- The final examination has a weight of 4.
Hence, her weighed mean is given as follows:
Mara's average for the course was of 68.6.
More can be learned about the weighed mean formula at brainly.com/question/24398353
Step-by-step explanation:
d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(-6, 8, 3)
Substitute the values in the above equation and you will get
d = √(-6 - 0)^2 + (8 - 0)^2 + (3 - 0)^2
= √(36 + 64 + 9)
= √109
= 10.44
Answer:
10√2
Step-by-step explanation:
A(1, 4), B(3, 6), C(6, 3), D(4, 1)
The distance formula tells you the distance d between two points (x1, y1) and (x2, y2) is given by ...
d = √((x2-x1)² +(y2-y1)²
Then the side lengths are ...
AB = √(2² +2²) = √8 = 2√2
BC = √(3² +(-3)²) = √18 = 3√2
The perimeter is twice the sum of these sides, so is ...
P = 2(2√2 +3√2) = 10√2 . . . the perimeter of the rectangle
Answer:
c
Step-by-step explanation:
hope this helps
<h3>
Answer: y - 4 = -2(x - 5)</h3>
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Explanation:
Point slope form is
y - y1 = m(x - x1)
where m is the slope and (x1,y1) is the point the line goes through.
Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.
-2 will go in the second box that's just to the left of the parenthesis.
The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.
We go from this
y - y1 = m(x - x1)
to this
y - 4 = -2(x - 5)
