Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Answer: 15.2
Step-by-step explanation:
(14)^2 + (6)^2 = c^2
196 + 36 = c^2
232 = c^2
Square root both sides
15.231546 = c
15.2 ≈ c
Answer:

Step-by-step explanation:
step 1
Find the slope of segment HI
The formula to calculate the slope between two points is equal to

we have
H (-4,2), and I (2,4)
substitute the given points


simplify

step 2
Find the slope of the perpendicular line to segment HI
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

so

step 3
Find the midpoint segment HI
we know that
The formula to calculate the midpoint between two points is equal to
we have
H (-4,2), and I (2,4)
substitute
step 4
we know that
The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI
Find the equation of the perpendicular bisector of HI in point slope form

we have

substitute

step 5
Convert to slope intercept form

Isolate the variable y



step 6
Convert to standard form

where
A is a positive integer
B and C are integers

Adds 3x both sides

see the attached figure to better understand the problem
Answer:
You have to put this in a bar model yourself so convert it later
She bought 10 apples
Step-by-step explanation:
3x + 2 = 14
why i did this
because she bought 2 times the amount of bananas, it should be x + 2x = 3x
then i added two because she bought two extra apples
so 3x+2 = 14
subtract 2
3x = 12
x = 4
So now we substitute x in apples
2x +2 = # of apples
8 +2 = 10
check
10 - 2 = 8
8/2 = 4
4 = # of bananas