Answer:
We conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
k = y/x
where k is called the constant of proportionality
Given the points
For (10, 80)
substituting y = 80 and x = 10 in the equation
k = y/x
k = 80/10 = 8
For (20, 160)
k = y/x
k = 160/20 = 8
For (50, 400)
k = y/x
k = 400/50 = 8
It is clear that the value of k is the same for all the points.
Thus, the value of k = 8
Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Slope-intercept form is y = mx + b. all you have to do for this question is plug your given information in:
m = -3
b = 7
y = mx + b
y = -3x + 7
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and is the standard deviation
In this case
Then the z-score is
Domain- {-2, 1, 0, 1, 2}
Range- {-2, 0, 2}
My domain is right but I don’t think my range is. I did learn this 4 years ago though so
Answer:
inches
Step-by-step explanation:
Here we are going to use the formula which is
Area=
Where P is perimeter and A is apothem
Here we are given that the Perimeter is 48 inches: Where perimeter is givenas
P=6s
Where s is the side of the hexagon
6s=48
s=8 inches
Please refer to the image attached with this :
In a Hexagon , there are six equilateral triangle being formed by the three diagonals which meet at point O.
Consider one of them , 0PQ with side "s"
As Apothem is the Altitude from point of intersection of diagonals to one of the side. Hence it divides the side in two equal parts . hence
Also OP= s
Using Pythagoras theorem ,
Hence We have Apothem
also we have the perimeter as 48
Now we put them in the main formula
Area =
Area=
Area=