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amm1812
3 years ago
6

A men and a women decided to meet at a certain location. If each of them independently arrives at a time uniformly between 12pm

and 1pm, find the probability that the first to arrive has to wait longer than 10 mins?

Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

the probability that the first to arrive has to wait longer than 10 mins is 35/36.

Step-by-step explanation:

First you need to denote by X and Y the time past 12 noon that the man and woman arrive.

Then you have to compute P(X+10<Y)+P(Y+10<X), which by symmetry equals 2P(X+10<Y).

So basically you have to compute P(X+10<Y).

check the attachment for the rest of the step by step.

Answer should be 25/72

But since we want 2× of the above probability 2× 25/72 = 25/36 final answer.

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<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
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Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

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2 years ago
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vovikov84 [41]

Answer:

1. 87

A77

B24

C93

D47

E 31

F 48

2. 160

A10

B20

C30

D40

E 50

F 60

3. 68

A851

B295

C302

D574

E 112

F 638

4. 174

A3

B4

C5

D 6

E 7

F 8

5. a

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B180/2

C 179*a

D 179+a

E 60

F pi

Find the complementary angles of the following.

6. 53

A90

B32

C 25

D 45

E 18

F 37

7. 12

A46

B78

C98

D31

E 52

F 64

8. 73.5

A16.5

B34.2

C29.4

D17.7

E 57.9

F 11.3

9. 23.7

A66.3

B70.1

C42.5

D83.9

E 54.8

F 36.2

10. a

A90/a

Ba-90

Ca/2

D90-a

E 90-2

F a^2

Two of the angles are listed. Find the measure of the third angle in each triangle. Similar to example 6

11. 16,42

A256

B421

C107

D510

E 122

F 329

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A23

B42

C47

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E 71

F 89

13. 43, 118

A12

B34

C19

D57

E 11

F 27

14. 60, 60

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16. 68, 86

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B37

C62

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B112 - 7a

C182 - 2a

D254 - 5a

E 311 - 3a

F 302 - 1a

19. x, (x + 20)

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B167 - 1x

C114 - 5x

D160 - 2x

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F 142 - 1x

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B187 - 7m

C124 - 4m

D143 - 1m

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1. C

2. B

3. E

4. D

5. D

6. F

7. B

8. A

9. A

10. B

11. D

12. A

13. D

14. B

15. A

16. C

17. F

18. A

19. D

20. F

Step-by-step explanation:

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