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
pishuonlain [190]
3 years ago
6

Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at

each of the locations L1, L2, L3, and L4 will be operated 40%, 30%, 20%, and 30% of the time. If a person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that she will receive a speeding ticket?
Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

The probability that the person gets a speeding ticket is 0.27

Step-by-step explanation:

The probability that the person receives a speeding ticket is the probability that the person passes through any of the speed limits and the radar is operating at that time.

Let P(L_1) is the probability that the person passes through radar L_{1} and it is operating at that time is

P(L_{1})=P(1)\times P(2)

Where

P(1) is the probability of person passes through L_{1}

P(2) is probability that the radar is operating

P(L_1)=0.2\times 0.4=0.08

Similarly the probabilities are calculated for other radars in the similar manner as

P(L_2)=0.1\times 0.3=0.03

P(L_3)=0.5\times 0.2=0.1

P(L_4)=0.2\times 0.3=0.06

Thus the reuired probability of the reuired event is

P(E)=P(L_1)+P(L_2)+P(L_3)+P(L_4)\\\\P(E)=0.08+0.03+0.1+0.06=0.27

You might be interested in
If triangle RST = triangle NPQ, then RT is congruent to ?. . a.NP. b.NQ. c.PQ. d.QP
lapo4ka [179]
If the triangles are given to be congruent, the corresponding angles and corresponding sides should have the same measure and lengths. From the given, side RT is congruent to side NQ. Therefore, the answer to the question is letter B. NQ. 
6 0
3 years ago
Jayla is a salesperson. She sold a guitar for $96 and earned 20% commission. How much
dexar [7]

Answer:

$115.20

Step-by-step explanation:

Hi! We need to find 1% of 96 to multiply by 20.

96 / 100 = .96

Now we multiply by 20.

20 x .96 = 19.2.

Now, we add 19.2 to what she earned in the first place (96).

19.2 + 96 = 115.20

Hope this helps!

4 0
3 years ago
Evaluate 4x3 + 2 for x = -1
Darina [25.2K]
4 {x}^{3} + 2

Plug in -1 for x

and you'll get this:
4 {( - 1)}^{3} + 2

Solve it further and you'll get:
4( - 1) + 2 \\ = - 4 + 2 \\ = - 2

Therefore,
4 {x}^{3} + 2
where x = -1
8 0
3 years ago
Read 2 more answers
2 – (–8) + (–3) =<br><br>A) 14<br><br><br>B) 7<br><br><br>C) 12<br><br><br>D) 1
aleksandr82 [10.1K]

Step-by-step explanation:

2 - ( - 8) + ( - 3) \\ 2 + 8 - 3 \\ 10 - 3 \\ 7

3 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST I NEED HELP NOW!!! I PROMISEThe table shows the relationship “Kevin read 35 pages per hour.”
Radda [10]

Answer:

The correct answers are:

The variable p is the independent variable.

The number of hours spent reading causes a change in the number of pages read.

The variable p is the dependent variable.

Step-by-step explanation: Hope this helps :)))

4 0
2 years ago
Other questions:
  • Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of gro
    11·1 answer
  • One half Of a number added to two thirds Of The number Is 21 . Find The number.
    13·2 answers
  • What are the coordinates of the midpoint of the segment joining points A(6, -3, 7) and B(-4, -5, 3)?
    5·1 answer
  • F(x)=2/x and g(x)=2/x what is f(g(x))
    6·1 answer
  • Find the area of each shade region <br> (can you do both for me please)
    12·2 answers
  • Whoever answers gets brainlist!
    13·2 answers
  • Please help me with this!
    12·1 answer
  • Can someone helpp with thissssssssssssssss
    10·1 answer
  • Proportions in Similar Triangles find the value of x
    14·1 answer
  • Work out the value 3x10^-5 x 40,000,000 give you answer in standard form​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!