Answer:
Step-by-step explanation:
1. Subtract 3x from both sides
3x-8y-3x=24-3x
2. Simplify
-8y=24-3x
3. Divide both sides by -8
4. Simply again to get answer.
Given:
A prism has a base area of square units and a volume of cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
Where, r is the radius, h is the height of the cylinder and is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is cubic units.
Answer:
The answer is 0.01, 0.1, 0.1, 0.11, 1 and 1.11
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer is (A). (X’ , Y’) = (x, y-6)