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Luba_88 [7]
3 years ago
14

Solve for x (round to the nearest thousandth)

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

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a. The Venn diagram is explained in the attached word file.

0.61                                    

b. Not independent

Step-by-step explanation:

a. The hypothetical 1000 table for given situation is

                                          Adult(A)        Not Adult (not A)        Total

Travel outside (T)                 610                170                               780

Not Travel outside (not T) 110                110                               220

Total                                 720                280                               1000

P(Adult and travel outside)=P(A and T)=610/1000=0.61

b. Multiplication rule for independent events is

P(A and B)=P(A)*P(B)

P(A and T)=0.61

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As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.

Download docx
4 0
3 years ago
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gayaneshka [121]

Answer:

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