The volume of a cube shaped shipping container is 2744 in.³ find the edge length of the shipping container
1 answer:
Answer:
The edge length of the shipping container is 14 in.
Step-by-step explanation:
The volume enclosed by a cube is the number of cubic units that will exactly fill a cube.
To find the volume of a cube we need to recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself twice. Or as a formula:
where, <em>s</em> is the length of any edge of the cube.
To find the edge length of the shipping container we use the fact that the volume of a cube shaped shipping container is 2744 in³ and the above formula.
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Answer:
The probability of selecting two Democrats and two Republicans is 0.4242.
Step-by-step explanation:
The information provided is as follows:
- A city council consists of seven Democrats and five Republicans.
- A committee of four people is selected.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
Compute the number of ways to select four people as follows:
Compute the number of ways to selected two Democrats as follows:
Compute the number of ways to selected two Republicans as follows:
Then the probability of selecting two Democrats and two Republicans as follows:
Thus, the probability of selecting two Democrats and two Republicans is 0.4242.