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motikmotik
2 years ago
12

Vektor i adalah vektor satuan yang searah dengan sumbu X (dalam dimensi dua). Vektor jika dinyatakan dalam bentuk kolom adalah..

..
Mathematics
1 answer:
sineoko [7]2 years ago
5 0

Answer:

v=\left[\begin{array}{ccc}1i\\0j\end{array}\right]

Step-by-step explanation:

We know that the given unit vector is in the direction of the x-axis.

Remember that an unit vector is a vector which magnitude is the unit, that's why is called like that.

So, the given unit vector can be written as v=1i+oj, where i indicates the horziontal coordinate and j indicates the vertical coordinate.

As a vertical or colum vector would be

v=\left[\begin{array}{ccc}1i\\0j\end{array}\right]

Therefore, the answer is

v=\left[\begin{array}{ccc}1i\\0j\end{array}\right]

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Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh
snow_tiger [21]

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the​ fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0
2 years ago
Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally de
horrorfan [7]

Answer:In 20 weeks they will have the same amount of money.

Step-by-step explanation:

5 0
2 years ago
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9,290 is the value of the first 9 ten times as great as the value of the second 9?
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Answer:

No

Step-by-step explanation:

The first nine in on the place of the thousands, while the second nine is on the place of the tens. so the first nine is a hundred times as great as the second nine

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How many significant figures does 0.0560
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3 significant figures..the zeros are non-significant
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Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annuall
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Answer:

C. $14,000

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