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iragen [17]
3 years ago
8

Geometry (13) Study Guide

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0
Answers:
1) Circumcenter
2) Incenter
3) Centroid
4) Orthocenter
the answers are in the same order as each bullet point

These terms are what you should have memorized or on a reference sheet

---------------------
Notes:
1) The circumcenter is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle

2) The incenter is the center of the incircle. The incircle is a circle that is as large as possible such that it is completely contained in the triangle. There are no parts of the incircle that spill over to the outside of the triangle. All of this circle is inside the triangle.
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A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When
Lapatulllka [165]

Answer:

6.56% probability that a real emergency situation exists.

Step-by-step explanation:

We have these following probabilities:

A 0.4% probability that a real emergency situation exists.

A 99.6% probability that a real emergency situation does not exist.

If an emergency situation exists, a 95% probability that the alarm sounds.

If an emergency situation does not exist, a 2% probability that the alarm sounds.

The problem can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem:

What is the probability of a real emergency situation existing, given that the alarm has sounded.

P(B) is the probability of there being a real emergency situation. So P(B) = 0.004.

P(A/B) is the probability of the alarm sounding when there is a real emergency situation. So P(A/B) = 0.95.

P(A) is the probability of the alarm sounding. This is 95% of 0.4%(real emergency situation) and 2% of 99.6%(no real emergency situation). So

P(A) = 0.95*0.04 + 0.02*0.996 = 0.05792

Given that the alarm has just sounded, what is the probability that a real emergency situation exists?

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.004*0.95}{0.05792} = 0.0656

6.56% probability that a real emergency situation exists.

6 0
3 years ago
Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
liberstina [14]

Answer:

29160cm³

Step-by-step explanation:

(18*18*18) *5 = 29160

6 0
3 years ago
Simplified to create a equivalent expression<br> 5(2p+1)+3(3p-1)
Lemur [1.5K]

Answer:

19p+ 2

Step-by-step explanation:

I hope this helps :-)

3 0
3 years ago
Read 2 more answers
How do I find the area of a triangle with a base of 3 and height of 6
Schach [20]
You can multiply 3 and 6 together then divide the product by 2
(6*3)/2=18/2=9
6 0
4 years ago
PLEASE HELP PLEASE
Dmitrij [34]
The answer is $3000. You first want to set up a proportion, so 750/9000=1000/x. Then you will cross multiply to get (9000)(1000)=750x. Divide both sides and you will get x=12000. However, the question is asking how much is remaining, so we want to find the difference of 12000 and 9000, which ends up being $3000.
3 0
3 years ago
Read 2 more answers
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