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tatyana61 [14]
2 years ago
6

DO,K = (9, 6) (3, 2) The scale factor is

Mathematics
1 answer:
drek231 [11]2 years ago
8 0

Using proportions, it is found that the scale factor of the transformation is of 1/3.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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410x400 is correct and your answer would be 164,000.

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there were 600 sheep and goats in the hills. If the ratio of sheep to goats in 1 to 2, how many sheep are there
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Write the number 68,127,000,000,000,000 in scientific notation.
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A bank wonders whether omitting the annual credit card fee for customers who charge at least $3,000 in a year would increase the
Law Incorporation [45]

Answer:

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{267}{\sqrt{500}} = 23.4

The lower end of the interval is the sample mean subtracted by M. So it is 565 - 23.4 = $541.6

The upper end of the interval is the sample mean added to M. So it is 565 + 23.4 = $588.4

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

4 0
3 years ago
What percent of 99 is 90?
Yuri [45]

Answer:

91%

Step-by-step explanation:

We can use the formula \frac{is}{of}=\frac{percent}{100}

  • "is" is 90
  • "of" is 99
  • "percent" is what we are solving for so we will denote it as x

Substituting in our values we get \frac{90}{99}=\frac{x}{100}

  • We will need to cross multiply here to get (90)(100) = (x%)(99)
  • This simplifies to 9000 = 99x%
  • Dividing by 99 on both sides we get 90.9% → x = 91%
4 0
2 years ago
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