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2 years ago

What is the difference between a centroid, orthocenter, and a circumcenter?

Mathematics

1 answer:

Lisa [10]2 years ago

4 0

Answer:

Take an example in a triangle:

The orthocenter is the intersection point of 3 altitudes.

The centroid is the intersection point of 3 medians.

The circumcenter is the intersection point of 3 bisectors.

Centroid, orthocenter, and circumcenter are collinear.

Hope this helps!

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Steven created the scatterplot and trend line below to model the relationship between the number of innings he pitched and the n

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Answer:

The answer is C (7)

Step-by-step explanation:

The graph gives the equation Y=12x, so by doing 87/12 you get 7.25 which is closest to 7 giving you the answer.

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3 years ago

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20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

$n(A)=14$

$n(B)=11$

$n(A\cup B)=20$

We know that,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=14+11-n(A\cap B)$

$20=25-n(A\cap B)$

Subtract both sides by 25.

$20-25=-n(A\cap B)$

$-5=-n(A\cap B)$

$5=n(A\cap B)$

We need to find the number of people who have a school certificate only, i.e. $n(A\cap B')$ .

$n(A\cap B')=n(A)-n(A\cap B)$

$n(A\cap B')=14-5$

$n(A\cap B')=9$

Therefore, 9 people have a school certificate only.

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2 years ago

The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He i

ser-zykov [4K]

Answer:

A. D

B. χ2 > 3.841

C. χ2 = 3.4806

D. 0.0621

Step-by-step explanation:

Question A: The hypotheses the dean should use are:

a) H0 : π1 - π2 ≥ 0 versus H1 : π1 - π2 < 0.

b) H0 : π1 - π2 ≤ 0 versus H1 : π1 - π2 > 0.

c) H0 : π1 - π2 ≠ 0 versus H1 : π1 - π2 = 0.

d) H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.

Answer: (d)

H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.

(B). Referring to the scenario above, the null hypothesis will be rejected if the test statistic is ________.

Answer: χ2 > 3.841

(C). Referring to the scenario above, the value of the test statistic is ________.

Answer: χ2 = 3.4806 (using the formula)

(D). Referring to the scenario above, the p-value of the test is ________.

Answer: 0.0621 (the answer could be looked up, in table)

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2 years ago

There are 4 consecutive integers that have a sum of 54. What is the greatest of the 4 integers?

Tanya [424]

Answer:

x + x-1 + x-2 + x-3 =54.

x-1

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Answer:

You could multiply 21*21=441 if its a square

Step-by-step explanation:

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