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3 years ago

Find the coordinates of the midpoint of a segment with endpoints at (-11,34) and (47,0).

Mathematics

1 answer:

34kurt3 years ago

7 0

The point (-11,34) has the coordinates x = -11 and y = 34

The point (47,0) has the coordinates x = 47 and y = 0

Let's focus on just the x coordinates of each point for now. Those values are -11 and 47. Add them up to get -11+47 = 36. Then divide by two to end up with 36/2 = 18

The x coordinate of the midpoint is x = 18

Repeat those steps for the y coordinates. First add them up: 34+0 = 34. Then divide by two: 34/2 = 17

The y coordinate of the midpoint is y = 17

<h3>Therefore the midpoint is located at (x,y) = (18,17)</h3>

--------------------------

side note:

If you want, you can use the formulas

xm = (x1+x2)/2

ym = (y1+y2)/2

where (x1,y1) and (x2,y1) are the two endpoints and (xm, ym) is the midpoint. Though this method may be a bit confusing.

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The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b

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Answer:

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Step-by-step explanation:

given that the time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 150 sec and a standard deviation of 25 sec.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The mean annual tuition and fees for a sample of 15 private colleges was with a standard deviation of . A dotplot shows that it

Fudgin [204]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with a standard deviation of $6500. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $32,500. State the null and alternate hypotheses. A) H0: 4 = 32,500, H:4=35,500 C) H: 4 = 35,500, H7:35,500 B) H: 4 = 32,500, H : 4 # 32,500 D) H0:41 # 32,500, H : 4 = 32,500

Solution

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 32500

For the alternative hypothesis,

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This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 15,

Degrees of freedom, df = n - 1 = 15 - 1 = 14

t = (x - µ)/(s/√n)

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x = sample mean = 35500

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s = samples standard deviation = 6500

t = (35500 - 32500)/(6500/√15) = 1.79

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p = 0.095

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3 years ago

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3 years ago

Find the coordinates of the midpoint of a segment with endpoints at (-11,34) and (47,0).​

Find the coordinates of the midpoint of a segment with endpoints at (-11,34) and (47,0).