The correct answer is c) $637.31
12.62 x 40 = 504.8
time and a half is the amount you get paid + half the amount you get paid
so half of 12.62 is 6.31 + 12.62 = 18.93
18.93 x 7 = 132.51
504.8 + 132.51 = 637.31
Answer:
Step-by-step explanation:
Assume that f(x) = 0 for x outside the interval [4,7]. We will use the following
![Var(X) = E[X^2]- (E[X])^2](https://tex.z-dn.net/?f=Var%28X%29%20%3D%20E%5BX%5E2%5D-%20%28E%5BX%5D%29%5E2)
Standard deviation = ![\sqrt[]{Var(X)}](https://tex.z-dn.net/?f=%20%5Csqrt%5B%5D%7BVar%28X%29%7D)
Mean =
Then,
![E[X] = \int_{4}^{7}\frac{1}{3}dx = \frac{7^2-4^2}{2\cdot 3} = \frac{11}{2}](https://tex.z-dn.net/?f=E%5BX%5D%20%3D%20%5Cint_%7B4%7D%5E%7B7%7D%5Cfrac%7B1%7D%7B3%7Ddx%20%3D%20%5Cfrac%7B7%5E2-4%5E2%7D%7B2%5Ccdot%203%7D%20%3D%20%5Cfrac%7B11%7D%7B2%7D)
![E[X^2] = \int_{4}^{7}\frac{x^2}{3}dx = \frac{7^3-4^3}{3\cdot 3} = 31](https://tex.z-dn.net/?f=E%5BX%5E2%5D%20%3D%20%5Cint_%7B4%7D%5E%7B7%7D%5Cfrac%7Bx%5E2%7D%7B3%7Ddx%20%3D%20%5Cfrac%7B7%5E3-4%5E3%7D%7B3%5Ccdot%203%7D%20%3D%2031)
Then, 
Then the standard deviation is ![\frac{\sqrt[]{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D)
There are no variables, and you've included the answer already, so I'm not sure what you're asking for..
Answer:
Hence, 12,90,000 can be expressed as
.
Step-by-step explanation:
- Given 12,90,000
- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .
- Then count n and write in scientific notation.
Step 1 of 1
Consider 12,90,000
1.29
So, 1.29 lies between 1 & 10.
Now, Decimal moved to 6 places at left.

So,
.
The question is missing the figure which is attached below.
Answer:
The last box that has dimensions 8 in × 8 in × 10 in
Step-by-step explanation:
Given:
Volume of the soil = 924 cubic inches.
There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.
The volume of the box must be at least 924 cubic inches to accommodate all of the soil.
Now, volume of the first box is given as:

Volume of the second box is given as:

Volume of the third box is given as:

Volume of the fourth box is given as:

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.