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3 years ago

A circle has an area of 30in². What is the area of a 60° sector of this circle?

Mathematics

1 answer:

Amanda [17]3 years ago

7 0

Answer:

5 in^2

Step-by-step explanation:

The area of the sector will always be proportionate to the angle in the circle.

(The area of the sector / area of the circle) is equal to( the angle of the section divided by the angle of the circle)

The total degrees of a circle is 360

(area of the sector) = (60° / 360°) * 30 in^2

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A lady walks in the store and steals $100 bill from the register without the owners knowledge. She comes back 5 minutes later an

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$170
100+70 is your answer

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3 years ago

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Which of the following statements best describes the graph of x + y = 4?

vaieri [72.5K]

The last one is the only one that will work.
For the first one the y intercept is when x = 0. The point would be 0,4

The second one gives a point of (4,0)

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3 years ago

Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

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: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

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2 years ago

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2 years ago

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vampirchik [111]

Step-by-step explanation:

perdon no entindo

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