4(x+2) = 4·x + 4·2 = 4x + 8
3(x+7) = 3·x + 3·7 = 3x + 21
5(2x+7) = 5·2x + 5·7 = 10x + 35
The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.
<h3>What is the box and whisker plot?</h3>
A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have data set:
30, 35, 35, 45, 46, 46, 52, 55, 57
We can find below details from the data set:
Population size = 9
Minimum: 30
First quartile: 35
Median = 46
Third quartile = 53.5
Interquartile Range = 18.5
Maximum = 57
Outliers = none
Thus, the box plot first represents the data set option first is correct.
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This is a chord, chord angle problem.
Angle 1 = (50 + 56)/2. This leads to 53 degrees.
The direction of the vector is - 21.8 N of E , Option B is the answer.
<h3>What is a Vector ?</h3>
A vector is an object with both magnitude and direction.
A vector is shown in the graph.
To determine the direction , The angle needs to be determined
The slope of the vector will give the direction of the vector
The vector starts from the point (1 , 1)
Another point on the vector (-4 , 3)
slope = -2 /5
It is making angle x with the line y = 1
tan x = -2 /5
x = - 21.8 N of E.
Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.
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67+79+80+190= 416
Each number has been rounded