Answer:
very easy A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9.
Which type of function best models the data shown on the scatterplot?
Step-by-step explanation:
Answer: Marked Prixe = Rs. 1800
Step-by-step explanation:
Let the marked price be M
1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.
SP = 0.88M
CP - SP = 16
CP = 16 + SP
CP = 16 + 0.88M
2) If he had sold it at 10% discount he would have gained Rs 20.
SP = 0.9M
SP - CP = 20
0.9M = 20 + CP
CP = 0.9M - 20
16 + 0.88M = 0.9M - 20
0.9M - 0.88M = 20+16
0.02M = 36
36 = 0.02M
M = 1800
-2x^4 + 10x^3 - 21x^2 + 19x - 4
that should be the right answer
Answer:

We can find the second moment given by:

And we can calculate the variance with this formula:
![Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%207.496%20-%282.5%29%5E2%20%3D%201.246)
And the deviation is:

Step-by-step explanation:
For this case we have the following probability distribution given:
X 0 1 2 3 4 5
P(X) 0.031 0.156 0.313 0.313 0.156 0.031
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
We can verify that:

And 
So then we have a probability distribution
We can calculate the expected value with the following formula:

We can find the second moment given by:

And we can calculate the variance with this formula:
![Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%207.496%20-%282.5%29%5E2%20%3D%201.246)
And the deviation is:

The trip back the boat will travel only 30 miles because the trip doubled the hrs.