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
Otrada [13]
3 years ago
5

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

probability that it will be green when you reach the intersection? Round your answer to two decimal places.
Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 \times 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 \times 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }

You might be interested in
A right triangle as shown below
anastassius [24]

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

6 0
3 years ago
Helpndmdkdkdndnfndndkdkdmd
alekssr [168]

I read this story last year for my 7th grade year. The correct answer is A!

6 0
3 years ago
Pablo's retirement party will cost $8 if he invites 4 guests. If there are 6 guests, how
mezya [45]

Answer:

$12

Step-by-step explanation:

Step 1:

$8 : 4 = x : 6

Step 2:

4x = 48

Answer:

x = 12

Hope This Helps :)

6 0
3 years ago
What is zero to the power of 5? ill give 35 points to the first person to answer.
yan [13]

Now,

0^5

= 0

It is a right answer...

Thank you ♥♥

5 0
2 years ago
Read 2 more answers
CAN SOMONE ANSWER THIS
laiz [17]

Your answer is 8,000 minus 6 & 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A frozen yogurt is sold for $2.25 plus $0.25 for each topping added. If y represents the total cost and x represents the total n
    10·2 answers
  • NEED ANSWERS NOW
    12·1 answer
  • Room measure 30 feet by 24 feet, How many square yadrds carpet need?
    15·1 answer
  • Ticket Prices for a Science museum are $18 for adults and $12 for students. If $162 is collected from a group of 12 people, How
    12·1 answer
  • The injection molding department of a company uses an average of 30 gallons of special lubricant a day. The supply of the lubric
    5·1 answer
  • In his free time, Gary spends 11 hours per week on the Internet and 9 hours per week playing video games. If Gary has five hours
    15·1 answer
  • Car World is selling cars for 20% of the original price, x. The dealership is also offering an additional decrease of $500, what
    13·1 answer
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
    8·2 answers
  • Please answer truefully i giv you brainlistet
    8·1 answer
  • Help me find the rate of change
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!