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pishuonlain [190]
1 year ago
7

The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system hav

e? Here is the matrices:
1 0 -12 0
0 1 0 0
0 0 0 1
0 0 0 0
A. Infinitely many solutions
B. No solutions
C. Unique solution
D. None of the above
Mathematics
1 answer:
vagabundo [1.1K]1 year ago
8 0

Answer:

A. Infinitely many solutions.

Step-by-step explanation:

The row and column numbers are equal in the echelon. This rows have 0001 numbers which indicates that there is free variable at the end. The reduced row echelon has equal number of rows and columns. There are infinitely many solution as the numbers in the rows are zero ending of the free variable 1. If there is no free variable then there will be no solution.

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Answer:

H_{0}: \mu = 500\text{ GMAT score}\\H_A: \mu < 500\text{ GMAT score}

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 550

Sample size, n = 250

Alpha, α = 0.05

Population standard deviation, σ = 120

The mean GMAT score for all test takers is 550.

The researcher believes that the mean scores in the Philippines who are interested in pursuing graduate management education will be less than 550.

We design the null and the alternate hypothesis

in the following manner:

H_{0}: \mu = 500\text{ GMAT score}\\H_A: \mu < 500\text{ GMAT score}

The null hypothesis states that the sample is taken from the population and have a mean score of 550, while the alternate hypothesis states the researcher's claim that the sample of Philippines does not belong to the population and have mean score less than 550.

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2 years ago
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
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Answer:

0.16 Acres per sheep

Step-by-step explanation:

Since there are 40 acres spread upon 250 sheep, you would divide the acres by the number of sheep. Make an equation

40/250 =....

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1 year ago
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The table shows the cost of a taxicab ride for several driving distances.
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7 0
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Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0

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P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx

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The diagram shows JKL. Which term describes point M?
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Step-by-step explanation:

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