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Answer:
1. MAD for Jada's data set = 1
Step-by-step explanation:
Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value
Jada's data set is given as: 4, 4, 4, 6, 6 ,6
Mean = 5
✔️Find the distance between each data value form the mean
4 = |4 - 5| = 1
4 = |4 - 5| = 1
4 = |4 - 5| = 1
6 = |6 - 5| = 1
6 = |6 - 5| = 1
6 = |6 - 5| = 1
✔️Find the sum of the distances of each data value from the mean
1 + 1 + 1 + 1 + 1 + 1 = 6
✔️Find the MAD:
MAD = 6/6
MAD = 1
*assume the pool is empty at the beginning
a) plug 3.25 into the equation and solve
h(3.25) = 600*3.25 = 1950 gallons
b) after 3.25 hours the total amount of water will be 1950 gallons
Answer:
6.67in long and 4.67in wide
Step-by-step explanation:
Given the amp of the scale 1 inch = 3 mi?
If the measured length is 20miles
Let x be the dimension of the length on the map
1 inch = 3 mi?
x = 20miles
3x = 20
x = 20/3
x = 6.67in
For the width,
Width =14miles
Let y be the dimension of the width on the map
1 inch = 3 mi
y = 14miles
3y = 14
y = 14/3
y = 4.67in
Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map
Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form 
, what is the value of b?
- m is the slope
- b is the y-intercept
The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.
The perpendicular line:
- Has a slope of
- Passes through the point (15, -2)
To find the equation of a line that passes through a specific point, you need to use slope-intercept form.
- y₁ is the y-value of the point
- m is the slope
- x₁ is the x-value of the point
y₁ is -2, m is -1/5, and x₁ is 15.
Substitute the known values into the equation:
Open the parentheses and distribute:
The new equation will be:
Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.
The equation of the perpendicular line is:
The value of b is 1.
