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dmitriy555 [2]
3 years ago
9

There is a traffic light at the intersection of Main Street and Durham Avenue. The traffic light on Main Street follows a cycle.

It is green for 30 seconds, yellow for 5 seconds, and red for 25 seconds. As you travel along Main and approach the intersection, what is the probability that the first color you see is green?
Mathematics
1 answer:
givi [52]3 years ago
6 0
Probability is defined as the number of desired outcomes over all possible outcomes. Lets say each second is one possible outcome. This means there is 30 different desired outcomes out of 60 possible outcomes. The probability therefore is 30/60, simplified to 1/2.
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2 years ago
Which of the following pairs of functions are inverses of each other?
AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

A:

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

B:

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

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g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

C:

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

D:

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0
2 years ago
Plz help need work to be shown if answered:<br> Will make the first answer Brainliest
Molodets [167]
The first answer. (1)
6 0
3 years ago
Read 2 more answers
Please help me with this question​
Mandarinka [93]

Answer:

The answer is y=60/x

(I also had this question)

6 0
2 years ago
What is the volume of this rectangular prism? The length is 5 1/2. The width is 1 3/8. The height is 1 2/3.
natka813 [3]

Answer:

12  29 /48  in mixed number form,

≈ 12.6 as a rounded decimal

Step-by-step explanation:

Multiply all three numbers together for the volume.

3 0
3 years ago
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