Answer:
<h2>y = 6x + 9</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept → (0, b).
Parallel lines have the same slope.
Therefore if <em>k</em>: y = 6x + 7 → m = 6, and <em>l</em>: y = mx +b,
then <em>l</em> is parallel to <em>k</em> if m = 6.
We have the equation: y = 6x + b.
The line <em>l</em> passes through (0, 9). Therefore b = 9.
Finally we have:
<em>y = 6x + 9</em>
Answer:
Step-by-step explanation:
Answer: x = 25
Step-by-step explanation:
If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:
(x+15) = (3x-35)
To find 'x', we just need to solve the above equation.
(x+15) = (3x-35)
x+15 = 3x-35
x-3x = -35-15
-2x = -50
x = 25.
Therefore, 'x' is 25 degrees.
What is the interquartile range of the data? With the numbers 2,3,3,4,5,7,8,8,8,10,10, and 12
harina [27]
Answer:
The interquartile range = 5.5
Step-by-step explanation:
Given the data
2 3 3 4 5 7 8 8 8 10 10 12
As we know that
The interquartile range is the difference between the third and first quartiles.
- The first quartile is the median of the bottom half of the numbers.
So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
2 3 3 4 5 7 8 8 8 10 10 12
So, the bottom half is
2 3 3 4 5 7
The median of these numbers is 3.5.
- The third quartile is the median of the upper half of the numbers.
So, to find the third quartile, we need to place the numbers in value order and find the upper half.
2 3 3 4 5 7 8 8 8 10 10 12
So, the upper half is
8 8 8 10 10 12
The median of these numbers is 9
so
The third quartile is 9.
The first quartile is 3.5.
The interquartile range is the difference between the third and first quartiles.
The interquartile range = 9 - 3.5 = 5.5
Therefore, the interquartile range = 5.5
