1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BlackZzzverrR [31]
3 years ago
12

Imagine that a traffic intersection has a stop light that repeatedly cycles through the normal sequence of traffic signals (gree

n light, yellow light, and red light). In each cycle the stop light is green for 30 s, yellow for 3 s, and red for 50 s. Assume that cars arrive at the intersection uniformly, which means that in any one interval of time, approximately the same number of cars arrive at the intersection at any other time interval of equal length. Determine the probability that a car arrives at the intersection while the stop light is yellow. Give your answer as a percentage precise to two decimal places.
Mathematics
2 answers:
Nutka1998 [239]3 years ago
5 0

Answer:

Your answer is 3.61%.

Step-by-step explanation:

givi [52]3 years ago
4 0

Answer:

3.61%

Step-by-step explanation:

To know the statistics we have to realize that there are 3 options.

green 30s

yellow 3s

red 50s

As each color does not have the same time, we will take the seconds to solve it

first we calculate all the seconds of a cycle

30s + 3s +50s = 83s

the car that arrives will always arrive in some second of those 83 seconds

now of those 83 seconds only 3 seconds the traffic light will be yellow

we make the events that meet the condition on the possible

3s/83s = 3/83

to express it as a percentage, we divide it by 83 and multiply it by 100

100*(3/83)/83 = 3.614457831%

we have to round with two decimal

3.61%

You might be interested in
Find a statement that is equivalent to the absolute value equation |9x−9|=7.
Olegator [25]

Answer:9x-9=7 or 9x-9=-7

Step-by-step explanation:

An absolute value is the distance from zero, therefore the answer can not be negative. In this case, 9x-9=7 and 9x-9=-7 both work, because 7 and -7 are the same distance from zero.

8 0
3 years ago
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard
Vladimir79 [104]

About 99.7% of vehicles whose speeds are between 59 miles per hour and 77 miles per hour.

Empirical rule states that for a normal distribution, 68% lie within one standard deviations, 95% lie within two standard deviations, and 99.7% lie within three standard deviations of the mean.

Given that mean (μ) = 68 miles per hour, standard deviation (σ) = 3 miles per hour.

68% lie within one standard deviation = (μ ± σ) = (68 ± 3) = (65, 71).

Hence 68% of the vehicle speed is between 65 miles per hour and 71 miles per hour.

95% lie within two standard deviation = (μ ± 2σ) = (68 ± 2*3) = (62, 74).

Hence 95% of the vehicle speed is between 62 miles per hour and 74 miles per hour.

99.7% lie within three standard deviation = (μ ± 3σ) = (68 ± 3*3) = (59, 77).

Hence 99.7% of the vehicle speed is between 59 miles per hour and 77 miles per hour.

Find out more at: brainly.com/question/14468516

3 0
2 years ago
Read 2 more answers
PLEASE HURRY!
Gnoma [55]

Answer:

11

26

44

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What are 3 equivalent ratios to 3:11
Helen [10]

Answer:

three equivalent ratios will be

6:22 , 9:33, 15:55

6 0
3 years ago
How to factor 4x^2+4x+1 completely? I already solved it to be (2x+1)^2 but I am not sure of the method (difference of squares, p
ziro4ka [17]

Answer:

Trinomial can not be factored

Step-by-step explanation Equation at the end of step 2 : 4x 2 - 2x - 1 = 0 Step 3 : Parabola, Finding the Vertex : 3.1 Find the Vertex of y = 4x 2-2x-1 Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum)

7 0
3 years ago
Other questions:
  • the area of a four square court is 66 square feet. Estimate the side length,s, to the nearest tenth of a foot
    13·1 answer
  • 2 (x-1)+3x=3 what is the answer?
    6·1 answer
  • I need some help with this math question. Please see attachment.
    10·1 answer
  • Simplify and combine terms 9x+6-4x-2x+1-15
    6·2 answers
  • 9tsp to 2T <br>it's a ratio question​
    8·1 answer
  • A regular pentagon with a perimeter of 28 inches is dilated by a scale factor of 8/7 to create a new pentagon. What is the perim
    10·1 answer
  • A minibus drives with a constant speed of 80 miles per hour. How far can it travel in 2 1/2 hours?
    6·1 answer
  • Freeee points 45678910c
    8·2 answers
  • Simplify <br> -4x+2x2-x2+5-3x
    6·2 answers
  • XPLEASE HURRY!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!