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Sloan [31]
3 years ago
9

What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Answer:

Dear mcdeagon,

Answer to your query is provided below:

Magnitude of -2a-3b = -18i-6j

Step-by-step explanation:

When a = 3i+9j and b = 4i-6j

Magnitude of -2a-3b will be calculated by putting value of a and b

So, -2a-3b = -2(3i+9j)-3(4i-6j)

= -6i-18j-12i+12j = -18i-6j

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Answer:

(a) The probability distribution of the random variable <em>X</em> is Binomial.

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(c) The value of <em>x</em> is 0.34.

Step-by-step explanation:

The random variable <em>X </em>is defined as the number of correct answers given by a person who is guessing each answer on a 25-question exam.

There are five possible answer for every question.

This implies that the probability of getting a correct answer is:

<em>P</em> (X) = 0.20.

There are a total of <em>n</em> = 25 questions.

Every answer is independent of the others.

(a)

The random variable <em>X</em> has  finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable <em>X</em> is Binomial with parameters <em>n</em> = 25 and <em>p</em> = 0.20.

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E(X)=np\\=25\times 0.20\\=5

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(c)

The sample is large and the probability of success is close to 0.50.

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