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julsineya [31]
3 years ago
15

Use a graph to solve 1/2|x + 1| + 1 = |x|

Mathematics
1 answer:
kiruha [24]3 years ago
3 0
1st x is -1, 2nd x is 3
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A driver and a passenger are in a car accident. Each of them independently has probability 0.3 of being hospitalized. When a hos
kompoz [17]

Answer:

0.534

Step-by-step explanation:

p(0 losses) = 0.7² = 0.49

p(1 loss) = 2 x 0.3 x 0.7 = 0.42

p(2 losses) = 0.09

This is a conditional probability problem. If the number of people hospitalized is 0 or 1, then the  total loss will be less than 1. However, if two people are hospitalized, the probability that the  total loss will be less than 1 is 0.5. we need to exclude the 50% x 0.09 chance of a double loss costing more than 1. So

P(Cost < 1)

= 0.49 + 0.42 +0.045

= 0.955

P(0 losses | Cost < 1)

= P(0 losses and Cost < 1) / P(Cost < 1)

= 0.49 / 0.955 = 0.513

P(1 loss | Cost < 1)

= 0.42 / 0.955 = 0.440

P(2 losses | Cost < 1) = 0.045 / 0.955 = 0.047

Now take the expectation:

E[X] = (0)(0.513) + (1)(0.440) + (2)(0.047)

= 0.440 + 0.094

= 0.534

5 0
3 years ago
Work out the value of n 1/8 ÷ √ 2 = 2 n Give your answer as an improper fraction
Alex Ar [27]

Answer:

n = √2/32

Step-by-step explanation:

1/8 : √2 = 2n

1/8×1/√2 = 2n

1/8√2 = 2n

√2/16 = 2n

√2 = 16×2n

32n = √2

n = √2/32

8 0
3 years ago
Write an absolute value equation to satisfy the given solution set shown on a number line
Arisa [49]

(infinity -1/2]u [-1/2 -1/2] u [1/2 infinity)

4 0
1 year ago
Find the total surface area of the<br> following square pyramid:<br> 6 cm<br> 8 cm<br> SA = [?] cm2
Serhud [2]

Answer:

Step-by-step explanation:

Find the total surface area of the

following square pyramid:

6 cm

8 cm

SA = [?] cm2

3 0
3 years ago
Find the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.) x2 − 2
julsineya [31]
:) Well, I dunno about anyone else but this question makes my head spin!

6 0
3 years ago
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