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3 years ago

In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2) ?

1 answer:

6 0

A (−3, 1) and B (3, 4) 2 Let A have coordinates (x1, y1). Let (x1, y1) = (−3, 1). 3 Let B have coordinates (x2, y2). Let (x2, y2) = (3, 4). 4 Find the length AB by applying the formula for the distance between two points. AB = "(x2 − x1)2 + (y2 − y1)2 = "[3 − (−3)]2 + (4 − 1)2 = "(6)2 + (3)2 = !36 + 9 = !45 = 3!5 = 6.71 1

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11. Give two examples of each type of number: real, natural, integers, rational and irrational.

zaharov [31]

Answer:

real:√2, 3,-1, 1/2 etc

natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

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3 years ago

Hi what is the answer for this?

Marat540 [252]

I believe it's A I really hope that's right

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4 years ago

Read 2 more answers

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 s

boyakko [2]

Answer:

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Step-by-step explanation:

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.

At the null hypothesis, we test if the average is of 2400 square feet, that is:

$H_o: \mu = 2400$

At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:

$H_a: \mu > 2400$

The test statistic is:

Since we have the standard deviation for the sample, we use the t-distribution.

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

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

2400 is tested at the null hypothesis:

This means that $\mu = 2400$

A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.

This means that $n = 36, X = 2510, s = 480$

Test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}$

$t = 1.375$

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.09

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

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3 years ago

What is the volume of a rectangular prism that is 120 centimeters by 2 meters by 1.5 meters in cubic meters? 3.6 m3 3,600,000 m3

belka [17]

Answer:

360m3

Step-by-step explanation:

Equation:

v=l*w*h

v=(120)(2)(1.5)

V=360m3

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3 years ago

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Write a decimal that is equivalent 1.2

Mnenie [13.5K]

1.20 could be a possibility...

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3 years ago

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