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
Nonamiya [84]
3 years ago
7

(A) Police plan to enforce speed limits by using radar trapsat 4 different locations within the city limits. The radar traps ate

ach of the locations L1, L2, L3, and L4 are operated 40%, 30%,20%, and 30% of the time, and if a person who is speeding on hisway to work has probabilities of 0.2, 0.1, 0.5, and 0.2,respectively, of passing through these locations, what is theprobability that he will receive a speeding ticket?
(B) The person received a speeding ticket on his way towork, so what is the probability that he passed through the radartrap located at L2?
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

0.27

0.1111111

Step-by-step explanation:

Given that:

X :

L1 = 40% = 0.4

L2 = 30% = 0.3

L3 = 20% = 0.2

L4 = 30% = 0.3

P(x) :

L1 = 0.2

L2 = 0.1

L3 = 0.5

L4 = 0.2

A.)

Σ(X * p(x))

(0.4 * 0.2) + (0.3*0.1) + (0.2*0.5) + (0.3 * 0.2) = 0.27

B.) Radartrap located at L2:

P(L2) = (L(x2) * p(L2)) / Σ(X * p(x))

= (0.1 * 0.3) / 0.27

= 0.1111111

You might be interested in
What is the value of...?
Amiraneli [1.4K]

Answer:

Step-by-step explanation:

I'm not sure I know exactly what that [1] means.

But here's how you get the answer

g(x) = 3x + 12

The symbolism means that wherever you see an x on the right side of g(x) you put f(x)

So it looks like this

g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.

g(f(x)) = 3(2x + 7) + 12    Remove the brackets

g(f(x)) = 6x + 21 + 12

g(f(x)) = 6x + 33

Now you deal with the x on the left. It becomes - 6

g(f(-6)) = 6(-6) + 33

g(f(-6)) = -36 + 33

g(f(-6)) = - 3

Rule 1

(g · f)(x)

has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.

7 0
3 years ago
Which function best fits the following points?
Goryan [66]

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)

y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)

y+12.82=0.025(x-0.80)

y+12.82=0.025x-0.02

y=0.025x-0.02-12.82

y=0.025x-12.84

y=-12.84+0.025x

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.

5 0
3 years ago
Simplify these expressions
makkiz [27]

Answer:

4) 7a+20

5) 14+2b

6) 25c² - 15

Step-by-step explanation:

4) 9a+7-2a+13= 9a-2a+7+13 = 7a+20

5) 21-3b+5b-7= 21-7+5b-3b = 14+2b

6) (3c)² + (8c)² - 15 = 9c² + 16c² - 15 = 25c² - 15

8 0
2 years ago
Read 2 more answers
Factor and solve (please explain)<br> 10p^3-1960p=0<br> Will mark brainliest!!!
Sergeeva-Olga [200]
10p^3=1960p
/10. /10
P^3=196
P=5.8
5 0
4 years ago
Quadratic applications??
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

2 l + 2w = 34 ⇔ l + w = 17 ⇒ l = 17 - w ..... <em>(1)</em>

l w = 66 ..... <em>(2)</em>

<em>(1)</em> ----> <em>(2)</em>

(17 - w) w = 66

w² - 17w + 66 = 0 ⇔ (w - 6)(w - 11) = 0

w = 6 cm

l = 11 cm

5 0
3 years ago
Other questions:
  • What is the answer?????
    9·1 answer
  • The midpoint of AB is M(0, -3). If the coordinates of A are (6, -5), what are the
    9·1 answer
  • Y=8x+3 helppp I need help
    14·1 answer
  • Can someone help please? Thanks
    5·1 answer
  • If some knows plz help me
    7·1 answer
  • Write the equation of the line for a line that passes through (-2,-4) and (-1, -1).
    11·1 answer
  • An equation with no solutions<br> 3x + 7 = X + 3
    14·1 answer
  • A rocket carrying fireworks is launched from a hill 60 feet above a lake. The rocket will fall into the lake after exploding at
    6·1 answer
  • Plz answer I will give brainlest tag
    10·1 answer
  • Is this c? Someone help pls
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!