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xenn [34]
4 years ago
13

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure iss

ues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)
Mathematics
1 answer:
otez555 [7]4 years ago
3 0

Answer:

See below

Step-by-step explanation:

<u>Given:</u>

  • f(x)= { 3x+1, if −9 < x ≤ −2
  • f(x)= {−5, if. −2 < x ≤ 1
  • f(x)= { x−6, if 1 < x < 7

<u>Combination of domain for the function is the following union:</u>

  • (-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

<u>Group of answer choices:</u>

The domain is the depth interval (−26, 1).

  • incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

  • incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

  • incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

  • This is correct as it is same with the domain set we got above.

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Answer:

The measure of arc x is 70°

Step-by-step explanation:

we know that

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and

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Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

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p(C|B) = 70% = 0.7

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p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

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