Answer:
2/3
Step-by-step explanation:
To find the constant of proportionality in the set of data apply the formula for slope where;
m= Δy/Δx
Taking values such as {3,2} and {6,4} then
m= 4-2 / 6-3
m= 2/3
<u>Answer & Step-by-step explanation:</u>
<u>Question 18 </u>
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x ≤ −10
Interval Notation: (−∞ , −10]
<u>Question 19</u>
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x ≤ 4
Interval Notation: (−∞ , 4]
Answer:
2/9,2/3,5/6,11/8
Step-by-step explanation:
The mean absolute deviation is given by the next formula:
Where n is the number of points in the data set and x with a bar on top is the mean.
In our case,
and n=25.
Then,
Finally,
The answer is 1.4 once rounded.
Answer:
b = -3
Step-by-step explanation:
Solve for b:
4 b - 4 2 + 24 = 20 - 16
-4×2 = -8:
4 b + -8 + 24 = 20 - 16
Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):
4 b + (24 - 8) = 20 - 16
24 - 8 = 16:
4 b + 16 = 20 - 16
20 - 16 = 4:
4 b + 16 = 4
Subtract 16 from both sides:
4 b + (16 - 16) = 4 - 16
16 - 16 = 0:
4 b = 4 - 16
4 - 16 = -12:
4 b = -12
Divide both sides of 4 b = -12 by 4:
(4 b)/4 = (-12)/4
4/4 = 1:
b = (-12)/4
The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:
Answer: b = -3
