Answer:
Step-by-step explanation:
In order to find the slope of a line, we need to find the rise over the run.
Basically - the change in y divided by the change in x.
We can compare the two points and find both.
We go from (0, 2) to (3, 1).
From 0 to 3 (x) is 3 units.
From 2 to 1 (y) is -1 units.
Therefore we can divide the x by the y.
Hope this helped!
Answer:
x ≈ 55.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = 
= 
( multiply both sides by x )
x × sin20° = 19 ( divide both sides by sin20° )
x = 
≈ 55.6 ( to the nearest tenth )
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}
Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70}
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median.
The value in the 8th slot is 54, so this is the median
Divide the sorted data set into two lists. I'll call them L and U
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).
Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value.
Therefore, Q3 = 62
Answer: 62</span>
