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lora16 [44]
3 years ago
15

There is a traffic light at the intersection of pine street and spruce avenue the traffic light on pine street follows a cycle i

t is green for 35 seconds,yellow for 10 seconds and red for 15 seconds as you travel along pine and approach the intersection what is the probability that the first color you see is yellow
Mathematics
2 answers:
murzikaleks [220]3 years ago
6 0
10/60= 1/6  
p(event)= # of ways an event can occur/sample space zice(the number of possible outcomes)  
r-ruslan [8.4K]3 years ago
3 0

Answer:

0.167

Step-by-step explanation:

Green Light = 35 seconds

Yellow Light = 10 seconds

Red Light = 15 seconds

Total second = 60

So, probability that the first color you see is yellow = \frac{\text{Yellow light time}}{\text{total time}}

                                                                                     = \frac{10}{60}

                                                                                     = \frac{1}{6}

                                                                                     = 0.167

Hence the probability that the first color you see is yellow is 0.167.

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Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.
zavuch27 [327]

Answer:

671  is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using a_n=a+(n-1)d

a_{224}=2+(224-1)3

On solving the above equation we get

a_{224}=671

Hence, 224th term of the given series is 671


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Step-by-step explanation:

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Which set of ordered pairs is made up of points on the graph of the function below? y=-3x+6
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Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra
astra-53 [7]

Answer:

a. b. c. and d.  are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

                                  &

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

<em>a. 3/4 of a 4-gallon mix would be yellow paint.</em>

<em>True. 3 out of 4 gallon mix is yellow and 1 out 4 is red</em>

<em />

<em>b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.</em>

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

<em>1/3 gallon of red paint: 1 gallon of yellow paint. True</em>

<em />

<em>c. Every 1 gallon of red paint requires 3 gallons of yellow paint.</em>

<em>True. </em>1 gallon of red paint : 3 gallons of yellow paint

<em />

<em>d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.</em>

<em>True. 1 out of 4 is red and 3 out of 4 is yellow.</em>

<em />

<em>e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.</em>

<em />

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

<em />

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3 years ago
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