Answer:
Properties of a normal distribution
The mean, mode and median are all equal.
The curve is symmetric at the center (i.e. around the mean, μ).
Exactly half of the values are to the left of center and exactly half the values are to the right.
The total area under the curve is 1.
Step-by-step explanation:
Step-by-step explanation:
5. 56÷4 = 14
6. (2 × 27) - 3 × 5 - 8
54 - 15 - 8
39 - 8 = 31 ans.
Hope this answer helps you!
Answer:
y = x - 3
Step-by-step explanation:
Equation of line in slope point form is given as:
y - y_1 = m(x - x_1)
![y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20%20%5C%5C%20y%20-%202%20%3D%201%28x%20-%205%29%20%5C%5C%20y%20-%202%20%3D%20x%20-%205%20%5C%5C%20y%20%3D%20x%20-%205%20%2B%202%20%5C%5C%20y%20%3D%20x%20-%203%20%5C%5C%20)
![\huge \sf༆ Answer ༄](https://tex.z-dn.net/?f=%5Chuge%20%5Csf%E0%BC%86%20Answer%20%E0%BC%84)
According to the question ;
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y \propto x](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ay%20%5Cpropto%20x)
Now, let's add a constant of proportionality to replace proportionality sign with equal to :
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = kx](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ay%20%3D%20kx)
[ where, k is proportionality constant ]
plug the value of x and y from any ordered pair in the table , for example : ![\sf(\dfrac{1}{5} , 2)](https://tex.z-dn.net/?f=%20%5Csf%28%5Cdfrac%7B1%7D%7B5%7D%20%2C%202%29)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:2 = k \times \dfrac{1}{5}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A2%20%3D%20k%20%5Ctimes%20%20%5Cdfrac%7B1%7D%7B5%7D%20)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:k = 2 \times 5](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ak%20%3D%202%20%5Ctimes%205)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:k = 10](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ak%20%3D%2010)
Therefore, value of proportionality constant (k) is
![\overbrace{ \underbrace{\underline{ \boxed{ \sf 10 }}}}](https://tex.z-dn.net/?f=%5Coverbrace%7B%20%20%5Cunderbrace%7B%5Cunderline%7B%20%5Cboxed%7B%20%5Csf%2010%20%7D%7D%7D%7D)