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igomit [66]
2 years ago
10

What is the volume of the cylinder below? A cylinder with a height of 12 millimeters and diameter of 18 millimeters. 108 pi mm3

216 pi mm3 648 pi mm3 972 pi mm3

Mathematics
2 answers:
Artemon [7]2 years ago
8 0

Answer:

V =972 pi mm ^3

Step-by-step explanation:

The diameter is 18 so the radius is 1/2 of the diameter

18/2 = 9

r=9

The volume of a cylinder is

V = pi r^2 h

V = pi (9)^2 12

V =972 pi mm ^3

sammy [17]2 years ago
4 0

Answer:

972pi mm^3

Step-by-step explanation:

What is the volume of the cylinder below? A cylinder with a height of 12 millimeters and diameter of 18 millimeters. 108 pi mm3 216 pi mm3 648 pi mm3 972 pi mm3

V = (pi)r^2h

r = d/2 = 18 mm/2 = 9 mm

V = (pi)(9 mm)^2(12 mm)

V = 972pi mm^3

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According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche
Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

X \sim Binom (n =12, p=0.18)

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

X \sim Binom (n =12, p=0.18)

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506

6 0
2 years ago
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LekaFEV [45]

Answer:

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  • GCF: 1
  • Factoring Trinomials: 4
  • Difference of Squares: 2
  • Perfect Square Trinomial (PST): 5

Step-by-step explanation:

1. Each term has an even coefficient, so a factor of 2 can be removed:

  2(3x^2 +7x -15)

The remaining quadratic factor is prime.

__

2. Each of these two terms is a square, so this is the difference of two squares.

__

3. This cubic has one irrational negative real root. It is prime.

__

4. This trinomial factors in the usual way: (x +15)(x -2). It is factored by "factoring trinomials."

__

5. The magnitude of the x-coefficient is double the square root of the (positive) constant, so this is a perfect square trinomial.

3 0
3 years ago
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