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2 years ago

Consider the figure below.

Mathematics

1 answer:

Bumek [7]2 years ago

4 0

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

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3 years ago

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Option D: $x\sqrt[9]{y^2}$ is the expression equivalent to $xy^{\frac{2}{9}}$

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Option A: $\sqrt{xy^9}$

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Applying exponent rule, we get,

$x^{\frac{1}{9}} y^{\frac{2}{9}}$

Thus, the expression $\sqrt[9]{xy^2}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option B is not the correct answer.

Option C: $x\sqrt{y^9}$

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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.

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The list of registered businesses in her area.

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

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