Answer:
Step-by-step explanation:
From the given information:
The uniform distribution can be represented by:

The function of the insurance is:

Hence, the variance of the insurance can also be an account forum.
![Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2](https://tex.z-dn.net/?f=Var%20%5BI_%7B%28x%7D%29%20%3D%20E%20%5BI%5E2%28x%29%5D%20-%20%5BE%28I%28x%29%5D%5E2)
here;
![E[I(x)] = \int f_x(x) I (x) \ sx](https://tex.z-dn.net/?f=E%5BI%28x%29%5D%20%3D%20%5Cint%20f_x%28x%29%20I%20%28x%29%20%5C%20sx)
![E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx](https://tex.z-dn.net/?f=E%5BI%28x%29%5D%20%3D%20%5Cdfrac%7B1%7D%7B1500%7D%20%5Cint%20%5E%7B1500%7D_%7B250%7B%20%28x-%20250%29%20%5C%20dx)


Similarly;
![E[I^2(x)] = \int f_x(x) I^2 (x) \ sx](https://tex.z-dn.net/?f=E%5BI%5E2%28x%29%5D%20%3D%20%5Cint%20f_x%28x%29%20I%5E2%20%28x%29%20%5C%20sx)
![E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx](https://tex.z-dn.net/?f=E%5BI%28x%29%5D%20%3D%20%5Cdfrac%7B1%7D%7B1500%7D%20%5Cint%20%5E%7B1500%7D_%7B250%7B%20%28x-%20250%29%5E2%20%5C%20dx)


∴
![Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}]](https://tex.z-dn.net/?f=Var%20%7BI%28x%29%7D%20%3D%201250%5E2%20%5CBig%20%5B%20%5Cdfrac%7B5%7D%7B18%7D%20-%20%5Cdfrac%7B25%7D%7B144%7D%5D)
Finally, the standard deviation of the insurance payment is:


≅ 404
No, Mr.Evans will make under $400. His base pay, 9.20 times the hours he worked at regular pay(40) would equal $368. Now, take those extra 2.25 hours he worked at 1.5 times his base pay of 9.20, which would give you $13.80. Now, multiply 13.80 and 2.25, and you get 31.05. These two amount added, would equal $399.05, leaving Mr. Evans at just under $400 earned that week.
Answer:
4:00. I am sure that it is 4 o clock!
Step-by-step explanation:
it is 4:00
Answer:
y=
x-3
Step-by-step explanation:
given 6x+5y=-15
5y=-6x-15
y=
x-
y=
x-3
slope=[tex]\frac{-6}{5}[tex], intercept=-3
Given:
The sides of a right triangle are 2 cm, 3 cm, and 3.6 cm.
To find:
The area of the right triangle.
Solution:
Area of a triangle is:

In the given triangle 3.6 cm is the largest side, it means 3.6 cm is the length of the hypotenuse. So, 2 cm and 3 cm and the base and height of the triangle.
Now, the area of the given triangle is:


Therefore, the area of the given triangle is 3 square cm.