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3 years ago

Classify an equiangular triangle by its angles.

Mathematics

1 answer:

grin007 [14]3 years ago

7 0

Equilateral triangle
180 degrees total
equal angles, 3 of them
180/3=60
acute is less than 90
60<90

acute
B is answer

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What are two ways to determine the probability that two independent events, A and B, will occur together.

stira [4]

Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

Some other examples of independent events are:

Landing on heads after tossing a coin AND rolling a 5 on a single 6-sided die.
Choosing a marble from a jar AND landing on heads after tossing a coin.

The events A and B are independent if any one of the following three equivalent conditions hold:

P(A ∩ B) = P(A)P(B)

P(A|B) = P(A) B has no effect on A

P(B|A) = P(B) A has no effect on B

Intuitively, two events are independent if the occurrence of one has no effect at all on the probability of the other.

To find the probability of two independent events that occur in sequence, find the probability of each event occurring separately, and then multiply the probabilities.

Multiplication Rule: When two events, A and B, are independent, the probability of both occurring is:

P(A and B) = P(A) · P(B)

To test whether two events A and B are independent, calculate P(A), P(B), and P(A ∩ B), and then check whether P(A ∩ B) equals P(A)P(B). If they are equal, A and B are independent; if not, they are dependent.

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3 years ago

Which property justifies the statement below<br><br> (A+b) + 0 = (a+b)

liubo4ka [24]

Answer:

Step-by-step explanation:

its simple smh

6 0

3 years ago

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If the area of a circle is 31.36 pi, then what is its radius?

mixas84 [53]

Answer:

5.6 units

Step-by-step explanation:

$\boxed{area \: of \: circle = \pi {r}^{2} }$

Given that the area of the circle is 31.36π,

31.36π= πr²

Divide both sides by π:

31.36= r²

r²= 31.36

Square root both sides:

$r = \sqrt{31.36}$

r= 5.6 units

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3 years ago

Below is data collected form a random sample of 80 students regarding their elective preference.

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If the entire school has 400 students, then what is a reasonable estimate for the number of students who prefer music

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2 years ago

What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?

a_sh-v [17]

Answer: option b

Step-by-step explanation:

It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:

$(x,y)$ → $(-x,-y)$

Therefore, given the point (1, -6) we can find the image obtained for for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.

Then, the image is:

$(1,-6)$ → $(-(1),-(-6))=(-1,6)$

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3 years ago

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