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vlada-n [284]
2 years ago
11

12x+5y3z, where ​x=12​, y = 6, and z = 3

Mathematics
1 answer:
mestny [16]2 years ago
8 0

Answer:

12×x+5y×3z

12×12+5×6×3×3

144+30×9

174×9

1,566.

that's what I found out.

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A particular professor is known for his arbitrary grading policies. eachpaper receives a grade from the set{a, a-, b+, b, b-, c+
zepelin [54]

Answer:

The answer to the question is;

The number of papers expected to be handed in before receiving each possible grade at least once is 14.93.

Step-by-step explanation:

To solve the question , we note that it is a geometric distribution question which have equal probabilities and therefore is a form of Binomial distribution with Bernoulli trials, where we are conducting the trials till we have r successes

Since we have r = 6, we will have to find the expected value of the number of trials till the nth paper handed in receives a previously awarded grade.

We therefore have,

The Probability that out of six papers turned 5 are different scores is given by

P(Y=5) = p'= q⁵p = (1-p)⁵p = 3125/46656

Therefore p' = the probability of receiving different grades once then the expected value is given by

E(X)  = 1/p' = 46656/3125 = 14.93.

3 0
4 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on
inysia [295]

Answer: F=15N


Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

F=ka

Where F is the force acting on the object, a is the object's acceleration and k is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting F=18 and a=6 into the equation and solving for k:

18=k6\\k=\frac{18}{6}\\k=3

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

F=3(5)\\F=15

3. The result is:

F=15N

7 0
3 years ago
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Ainat [17]
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3 0
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