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3 years ago

Which fractions are closer to 0 than 1

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

All fractions that are less than 1/2 but more than 0.
The inequality is 0>1/2

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Determine which of the indicated column vectors are eigenvectors of the given matrix

gladu [14]

]Eigenvectors are found by the equation $(A-\lambda I) \vec{v} = 0$$ implying that $\det(A-\lambda I) = 0$ . We then can write:

$A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ]$

And:

$\det(A-\lambda I) = (4-\lambda)(1-\lambda) - 10 = 0$

Gives us the characteristic polynomial:

$\lambda^2 - 5 \lambda -6 = 0 \implies \lambda_1 = -1, \lambda_2 = 6$

So, solving for each eigenvector subspace:

$\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]$

Gives us the system of equations:

$4x + 2y = -x \newline 5x + y = - y$

Producing the subspace along the line $y = -\frac{5}{2} x$

We can see then that 3 is the answer.

7 0

3 years ago

How to solve 3 and 1/2 + 5 and 1/2

zheka24 [161]

Answer:

Step-by-step explanation:

first add 3 and 5 =8

then add 1/2 and 1/2 =1

8+1 =9

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Clongmapsto%5Csqrt%7B64%7D" id="TexFormula1" title="\longmapsto\sqrt{64}" alt="\longmapsto\s

natulia [17]

$\sqrt{64} = 2 \times 2 \times 2 \times 2 \times 2 \times 2$

$\sqrt{64} = 2 \times 2 \times 2$

$\sqrt{64} = 8$

<h3># Answered by Cutest Ghost..</h3>

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3 years ago

A video game that is $54.99 how much is the sales tax on the game and what is the price including taxes

Mamont248 [21]

The sales tax depends on which state you live in. For example, in Texas, the sales tax is 8.14%. Therefore the game would be $59.47.

7 0

3 years ago

a researcher is conducting a study on local businesses. in order to create her sample, she uses the yellowpages and a dice. she

katrin2010 [14]

Her sample space is also the list of local businesses.

Sampling is a technique used in statistics when researchers choose a representative subset of a larger population and utilize that subset to carry out a study. Probability sampling and non-probability sampling are the two main types of sampling. Selecting the group from whom you will actually gather data for your study is the process of sampling. If you wanted to examine the perspectives of students at your university, for instance, you could interview a sample of 100 students. With the help of sampling, you can test a statistical hypothesis on the features of a population.

The yellow pages are used by the researcher to do research on neighborhood companies. As a result, her sample space also includes a list of nearby companies.

Complete question: A researcher is conducting a study on local businesses. In order to create her sample, she uses the Yellowpages and a dice. She rolls the dice, and, depending on the number rolled, counts that many businesses down in the list to call. What is her sampling frame?

The list of local businesses in the Yellowpages.

All businesses within a $10 \mathrm{~km}$ radius.

The list of local businesses in the newspaper.

All businesses in the state she is located in.

The list of registered businesses in her area.

To read more about samplings, visit brainly.com/question/13287171

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5 0

1 year ago