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Vlad1618 [11]
3 years ago
15

What is the range of the function shown on the graph?

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

y \in \{\space \mathbb R \space| -6 < y < \infty\}

Step-by-step explanation:

We can see from the graph that y can't be lesser than -6 and y extends unendlessly in the positive direction.

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Select all the angles that are supplementary to angle 1.
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M and n are the answer
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What does 7526.442 round to the nerest hundredth
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Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randoml
Thepotemich [5.8K]

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

8 0
2 years ago
Could anyone Solve
viva [34]

The value of the angle shown in the protactor is 50° and the value of y is 10°.

<h3>How to calculate the values?</h3>

The value of y will be:

2y + 30 = 3y + 20

3y - 2y = 30 - 20

y = 10

The value of x when they're complementary will be:

5x - 2 + 3x + 4 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88.

x = 88/8 = 12

The value of angle FDE will be:

3x + 10 + 6x + 8 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

FDE = 6x + 8

= 6(18) + 8

= 108 + 8

= 116

Learn more about angles on:

brainly.com/question/25770607

#SPJ1

3 0
2 years ago
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