Considering the given stem-and-leaf plot, the outlier is given by:
A - 40
<h3>What is an stem-and-leaf plot?</h3>
The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
Outliers are usually the lowest or the highest value in the data-set. In this problem:
- The lowest value is 10, but the second lowest is 12, which is close to 10.
- The highest value is 40, but the second lowest is 34, which is farther to 40 than 12 is to 10, hence 40 is an outlier.
More can be learned about stem-and-leaf plots at brainly.com/question/27683035
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Answer:
(∠C) ≅ (∠B)
∴ tan(∠B) = tan(∠C) and
Slope AB = Slope BC
Step-by-step explanation:
Part A:
To explain why the slope from point from A to B is the same with the slope from B to C with similar triangles we have;
The angle between segment AB and the vertical is the same as the angle between segment BC and the vertical - (corresponding angles)
The angle between segment AB and the horizontal is the same as the angle between segment BC and the horizontal - (corresponding angles)
The length of a segment opposite to the angle between segment AB and the horizontal is the as the length of a segment opposite to the angle between segment BC and the horizontal
Therefore, the triangle formed by A, B and the point of intersection of the vertical line from A with the horizontal line from B is congruent to the triangle formed by B, C and the point of intersection of the vertical line from B with the horizontal line from C
Which gives the angle with the horizontal at C (∠C) is congruent to the angle with horizontal B (∠B)
The slope AB = tan(∠B)
Slope BC = tan(∠C)
(∠C) ≅ (∠B)
Therefore, tan(∠B) = tan(∠C) and slope AB = Slope BC.
Answer:
Step-by-step explanation:
A proportion is being directly related to something, meaning that there is just multiplication or division (just a coefficient in front of the x-coordinate, nothing more).
In a graph, a proportional graph is a graph that goes straight through the origin.
Answer:
tom
Step-by-step explanation:
if you look at samma's rate you can easily find that she was much slower
Y = -7x - 2
Use the two points given to find the slope (m)
m = (y2 - y1) / (x2 - x1)
m = ( 12-5 ) / (-2 - (-1))
m = -7
Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in.
Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'.
y = -7x + b
5 = -7(-1) + b
b = -2
Final eqn: y = -7x - 2
