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4 years ago

Explain how to find the central angle of a circle?

1 answer:

7 0

Given two points A and B, lines from them to center of the circle form the central angle∠AOB. The central angle is the smaller of the two at the center. It does not mean the reflex angle ∠AOB. As you drag the points above, the angle will change to reflect this as it increases through 180°.
Identify the inscribed angle and central angle subtended by the same arc. Recognize that the central angle is twice the measure of the inscribed angle subtended by the same arc. Identify the tangent(s) to acircle. Identify the point of tangency on a circle

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In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

6 0

4 years ago

GET A fREE 99 points! First to answer gets it!

spayn [35]

Answer:

Step-by-step explanation:

Hello, how' life dude?

7 0

4 years ago

Read 2 more answers

Factor completely 12x^2 - 9x + 15

alexgriva [62]

Answer:

3(4x^2-3x+5)

Step-by-step explanation:

3(4x^2-3x+5)

8 0

3 years ago

Read 2 more answers

A school psychologist wants to test the effectiveness of a new method of teaching Art. She recruits 600 second-grade students an

yuradex [85]

Answer:

c. The score on the achievement test of both groups.

Step-by-step explanation:

A school psychologist recruits 600 second-grade students and randomly divides them into two groups.

Group 1 is taught by means of the new method, while Group 2 is taught via traditional methods.

We have to find the response variable. A response variable is the outcome variable or dependent variable in the experiment.

Here this is - The scores on the achievement tests of both group 1 and group 2.

3 0

3 years ago

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

harina [27]

The answer is: [B]: " 3.99 * 10⁻⁶ " .
______________________________________________
Note:
______________________________________________
We are given the following answer choices, and we are asked which one is the "smallest number" :
_______________________________________________
[A]: 4.4 * 10⁻⁵
_________________________________________
[B]: 3.99 ⋅ 10⁻⁶
______________________
[C]: 2.6 ⋅ 10²
______________________
[D]:  1.85 ⋅ 10³
_______________________
         We can rule out answer choices: [C] and [D]; since these values, essentially "direct us" to move the decimal point FORWARD "2 places" and "3 places", respectively; whereas choices [A] and [B] essentially "direct us" to move the decimal point BACKWARD "5 places" and "6 places" respectively. Note that all values given in the answer choices are written in proper "scientific notation" —that is, beginning with a "single integer followed by (a) decimal point(s) and then additional digits (when needed).  So, the answer choice that essentially "directs us" to move the decimal point BACKWARD "6 places" —
___________________________________________________
             →   Answer choice: [B]:  " 3.99 * 10⁻⁶ " ;
______________________________________________
                  is the smallest value ; and as such, the correct answer.
________________________________________________________

7 0

3 years ago

Read 2 more answers