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Jet001 [13]
3 years ago
11

How does multiplying a vector by a scalar value of 2x change the vector?

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0
Recall that the direction of a vector can be seen from its slope, namely b/a.

let's take a peek at a couple of vectors, and multiply them by a scalar of 2.

hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2

2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.

and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2

2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.

so, the vector's magnitude gets blown up, but the slope remains the same.
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Step-by-step explanation:

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For the data set 7, 10, 10, 14, 14, 17, the mean is 12. What is the mean
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Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of
Sav [38]

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

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.

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585

P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774

P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

Then:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

3 0
2 years ago
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