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3 years ago

What Is It Called to Move a Figure in Any Direction Without Rotation?

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

This is called Translation. When you move a figure in any direction without rotating it.

You might be interested in

What are the first five common multiples of 4 and 7

denis23 [38]

Easy, just write out the multiple of the numbers.

4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60

7: 7,14,21,28,35,42,49,56,63,70

Etc.

But a few common multiples:

28,56,84,112,140

These are the first 5 common multiples of 4 and 7.

6 0

3 years ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0

3 years ago

Elena is going to mow lawns for the summer to make some extra money. She will charge $20 for every lawn she mows and plans on mo

sesenic [268]

Answer:

Kx20=N

Step-by-step explanation:

k with be the number multiplied by 20 and then N will be the answer

3 0

2 years ago

Triangle ABC is translated according to the rule (x,y)- (x +2,y-8) if the coordinates of the pre image of point B are (4,-5) wha

kiruha [24]

Answer:

The coordinates of B' is are (6,-13).

Step-by-step explanation:

7 0

3 years ago

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

ANEK [815]

Answer:

the ratio as a fraction is 45/5 or 9/1

5 0

2 years ago