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3 years ago

Find the midpoint of the line segment joining the points (5,6) and (-1,-6).

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

The midpoint is (2,0)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(5+-1)/2 =4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(6+-6)/2 =0/2 =0

The midpoint is (2,0)

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A runner completed a 26.2-mile marathon in 210 minutes. a. Estimate the unit rate, in miles per minute. Round your answer to the

ivanzaharov [21]

Answer:

Unit rate by which the runner completed the marathon is 0.13 miles per minute.

Step-by-step explanation:

A runner competed a marathon of 26.2 miles in 210 minutes.

we can get unit rate by unitary method.

∵ In 210 minutes a runner completes the distance = 26.2 miles

∴ In 1 minute runner will complete the distance = $\frac{26.2}{210}$

= 0.125 miles per minute

≈ 0.13 miles per minute

Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.

6 0

3 years ago

At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD is congruent to EFGH, find GH

Alona [7]

Answer:

40 ft

Step-by-step explanation:

If two polygons are congruent to one another, therefore, it implies that the angles and sides of one is congruent to the corresponding sides and angles of the other.

Given that ABCD is congruent to EFGH, therefore:

CD ≅ GH

Since CD = 40 ft, therefore, GH will be 40 ft.

8 0

3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

Suppose you're thinking about buying one of two cars. Car it will cost $17,655. Who can expect to pay an average of $1230 Per ye

Reil [10]

Answer:

9 years

Step-by-step explanation:

A= 17655 + 1230Years

B= 15900+1425years

A=B: 1755=195years

years= 1755/195

years= 9

7 0

3 years ago

What does 2.45×3.6=? equal

love history [14]

It equals to 8.82
gl xx

3 0

3 years ago