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alina1380 [7]
2 years ago
7

A gift box is the shape of a rectangular prism. The box has a length of 24 centimeters, a width of 10 centimeters, and a height

of 13 centimeters. What is the volume of the box?
Mathematics
1 answer:
Kamila [148]2 years ago
6 0
Volume (V) is (=) Length (L) times (x) Width (W) times (x) Height (H) so V = L x V x H. 

Add the variables to the equation.
V = 24 x 10 x 13

Solve
V = 3120

So the volume of the gift box is 3120 cm
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5

Step-by-step explanation:

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The distance light travels in one light year is 5,880,000 meters. Write this is scientific notation.
iris [78.8K]
5,880,000 in scientific notation is: 5.88 x 10^6
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An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that
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-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100

#First find F_x and probability distribution function ,f_x(x):

F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}

#Have determined the probability distribution unction ,f_x(x), we calculate the Expectation of the random variable X:

E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200}  dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\

#We then calculate E(X^2):

E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28

Hence, the Var(X) is 764.28  

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3 years ago
Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent s
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Crane Company recently billed a customer $ 720. Labor hours were 6 and the cost of the materials used was $ 150. If the company’
sertanlavr [38]

The materials were charged at a loading charge of 80.00% of their cost.

The total charge was $720 and included both the material charge and the labor charge.

The first thing to do is therefore find out the cost of the materials without the labor charge:

<em>= Total cost - labor charge</em>

= 720 - (6 labor hours x 75 per labor hour)

= 720 - 450

= $270

The total cost of materials is $270. To find the material loading charge, use the formula:

<em>= (Total cost of materials - Cost of materials used) / Cost of materials used x 100%</em>

= (270 - 150) / 150 x 100%

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In conclusion, the material loading charge was 80.00%.

<em>Find out more at brainly.com/question/23089262.</em>

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