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3 years ago

Which choices name a chord of circle F? Choose all answers that are correct. A. AD B. BE C. CF D. DF?

1 answer:

8 0

I have encountered this problem before. The figure gave out 3 chords, 2 of which are diameters, and 1 radius.

A chord is a line segment that joins any two points on a circle.

A diameter is the longest chord on a circle. It originates at one side of the circle, passes through the middle point of the circle, and end on another side of the circle.

The chords in the figure area: AD, BE, and DE. AD and BE are diameters, they pass through F.

Among the choices: A.) AD and B.) BE are the chords.

CF and DF are radii. They only end up in the middle point of the circle.

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2. Suppose that P(A) = 0.32, P(B) = 0.46, P(C) = 0.23, P(A ∪ B) = 0.57, P(A ∪ C) = 0.55, P(B ∪ C) = 0.49. a. Compute P(B ′ ). b.

Liula [17]

Answer:

Step-by-step explanation:

From the given information:

Compute $P(B')$ :

$P(B') = 1 - P(B) \\ \\P(B') = 1 - 0.46 \\ \\ P(B') = \mathbf{0.54}$

Compute P(A ∩ B)

P(A ∩ B) = P(A) +P(B) - P(A∪B)

P(A ∩ B) = 0.32 + 0.46 - 0.57

P(A ∩ B) = 0.21

Thus, since P(A ∩ B) ≠ 0, we can say that they are not mutually exclusive.

P(A ∩ C) = P(A) +P(C) - P(A∪C)

P(A ∩ C) = 0.32 + 0.23 -0.55

P(A ∩ C) = 0

Thus, since P(A ∩ C) = 0, we can say that they are both mutually exclusive.

d. To determine P[(A ∪ B ∪ C)′]

i.e. none of the events occurring

Then :

P(B ∩ C) = 0.46 +0.23 -0.49

P(B ∩ C) = 0.20

Therefore:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B ) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

P(A ∪ B ∪ C) = 0.32 + 0.46 + 0.23 - 0.21 - 0 - 0.20 + 0

P(A ∪ B ∪ C) = 0.60

3 0

3 years ago

What is the product of the polynomials below?<br> (3x^2 - 2x - 3)(5x^2 + 4x + 5)

frozen [14]

Answer:

15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP

algol [13]

It might be A but I'm not 100% sure inequalities was my worst thing I learned in algebra 2<span />

6 0

3 years ago

A man is planning to take his vacation in three weeks. He determines that there is a 15% chance of rain on any given day in that

mixas84 [53]

Answer: 15%

Explanation: if it has 15% chance of rain on any given day so that’s 15% chance on every day that week and I’d think about rescheduling that vacation for another week

4 0

3 years ago

Lila and 11 of her team members were eating pizza after their volleyball game. There were 4 pizzas and each slice of pizza was 1

Mrrafil [7]

Answer:

24 slices of pizza were available to be eaten

Step-by-step explanation:

Here, we want to get the number of slices of pizza available to be eaten

From the question;

a slice is 1/6 of a pizza

So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices

In each of the pizzas, there were 6 slices;

So the number of slices in 4 pizzas would be 6 * 4 = 24 slices

So, 24 slices of pizza were available to be eaten by the girls

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3 years ago