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NeX [460]
3 years ago
7

Please help. I need an explanation with the answer in the pictures is the question.

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

4, 1, 6, 2, 3, 5

Step-by-step explanation:

When you have so many to do, it is convenient to let a calculator or spreadsheet do the math for you. The attached calculated the sums. Then the magnitudes needed to be calculated from those.

The numbers listed in the answer section are the order in which the resultant vectors appear in the ascending order list. That is, (u+2v-w)/6 appears first in the list.

_____

Each resultant is found by adding the given vectors with the given coefficients. For example, consider the first one on the list:

... -1/2u +5v = (-1/2)(9, -2) + 5(-1, 7)

... = (-9/2 -5, +1 +35) = (-19/2, 36)

Then the magnitude of it is found by adding the components according to the Pythagorean theorem. For the resultant just computed, the magnitude is ...

... √((-19/2)² +36²) = √(90.25 +1296) = √1386.25 ≈ 37.23

_____

In the attached, matrix multiplication is used to compute all 6 resultants at once. The 6 resultant vectors are the answer to that multiplication. The magnitudes are computed from these results as above.

I get the magnitudes of the resultants (to 2 decimal places) to be ...

37.23, 3.89, 42.04, 28.50, 32.04, 41.10

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Artemon [7]

Answer:

a) 0.5.

b) 0.8413

c) 0.8413

d) 0.6826

e) 0.9332

f) 1

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 6, \sigma = 0.2

(a) P(x > 6) =

This is 1 subtracted by the pvalue of Z when X = 6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{6-6}{0.2}

Z = 0

Z = 0 has a pvalue of 0.5.

1 - 0.5 = 0.5.

(b) P(x < 6.2)=

This is the pvalue of Z when X = 6.2. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

(c) P(x ≤ 6.2) =

In the normal distribution, the probability of an exact value, for example, P(X = 6.2), is always zero, which means that P(x ≤ 6.2) = P(x < 6.2) = 0.8413.

(d) P(5.8 < x < 6.2) =

This is the pvalue of Z when X = 6.2 subtracted by the pvalue of Z when X  5.8.

X = 6.2

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 5.8

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.8-6}{0.2}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

(e) P(x > 5.7) =

This is 1 subtracted by the pvalue of Z when X = 5.7.

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.8-6}{0.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

(f) P(x > 5) =

This is 1 subtracted by the pvalue of Z when X = 5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{5-6}{0.2}

Z = -5

Z = -5 has a pvalue of 0.

1 - 0 = 1

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Answer:

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Answer:

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Step-by-step explanation:

The coordinates of the intersection of the line are the solution of the system of equations.

\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}

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Agata [3.3K]

Answer:

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Step-by-step explanation:

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