In this item, we are to determine the number of high fives given considering that there are 12 total number of participants in the meeting. We know for a fact that each high five will require 2 participants. We can determine the answer to this item by using the concept of Combination.
Combination of 12 taken 2 can be expressed as 12C2 and can be solved using the equation,
n = (12!)/(2!)(12 - 2)!
This expression is equal to 66. Hence, the answer to this item is 66 high fives.
Answer:
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Step-by-step explanation:
The incenter of a triangle is equidistant from all sides of the triangle
The incenter is the center of the biggest circle that can be drawn in the triangle, and is called incircle
The incircle will be tangent to all sides of the triangle.
Observation:
In an equilateral triangle the incenter, circumcenter, and centroid are all the same
Part A: The correlation
coefficient is 1. It means that the values of both x and y has a strong
relationship giving them a avalue of 1.
Part B: The value of the slope
of the graph is 0.5. the slope of the line represents how steep is the line of
your graph
Part C: The data presented is
correlation.
Start from the last equation:
2w = 8 ⇒ w = 4
z = w + 1 ⇒ z = 4 + 1 ⇒ z = 5
y = 2z - 3w ⇒ y = 2•5 - 3•4 ⇒ y = -2
3x + 2y - z + 5w = 20 ⇒ 3x + 2•(-2) - 5 + 5•4 = 20
⇒ 3x = 9 ⇒ x = 3