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

Answers

Answer 1

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


Related Questions

if m this is so confusing

Answers

55 + 180 = 235

BDC = 235

In a recent survey of 1,700 Game Stop customers 884 of them responed that they play video games on their
personal computer. What percent of the customers surveyed responded that they play video games on their
personal computer?

Answers

Answer:

52% play video games on their personal computer.

Step-by-step explanation:

884/1700 = 52%

Can someone help with this ?

Answers

Answer: b=-12

Step-by-step explanation:

120/-10  = -12

-10b/-10 = b

b=-12

Answer:

b= -12

Step-by-step explanation:

you would divide -10 on both sides of the equation and get -12= b or b= -12.

Which equation represents a line which is perpendicular to the line 4x
y = -2?

Answers

Answer:

y=4x +7 (top-left)

Step-by-step explanation:

They have the same exact slope meaning they can not cross.

The only time they would cross is if they had the same y-intercept. Which they  don't

Determine if the two triangles are congruent. If they are, state how you know.
A. SAS
B. not enough information
C. SSS
D. AAS

Answers

Answer:

A. SAS

Step-by-step explanation:

Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).

A. SAS is the answer




what is the answer to the question 1 plus the number 1

Answers

Answer:

2

Step-by-step explanation:

1 +1 = 2

Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10

Answers

9514 1404 393

Answer:

  2x +y = -4

Step-by-step explanation:

The equation of the given line can be simplified by dividing all of the numbers by 2:

  2x +y = -5

The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...

  2x +y = constant

  2(-3) +(2) = constant = -6 +2 = -4

The parallel line is ...

  2x +y = -4

Help please

Use the following figure to find the answer

Answers

the answer is a c....

What is -2 2/3 divide by -1/2

Answers

Answer:

16/3

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−8/3 ÷ −1/2

Applying the fractions formula for division,

=−8×2/3×−1

=−16/−3

Simplifying -16/-3, the answer is

=5 1/3

There are 32 carpenters in a work crew. On a certain day, 24 were present. What
percent showed up for work?

Answers

Answer:

75%

Step-by-step explanation:

24/32 = .75 move decimal twice to the right to change to %

= 75%

Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.

Question 8 options:

A)

image

B)

image

C)

image

D)

image

Answers

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.

Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.



What is the total estimated Adélie penguin population in Antarctica?

Answers

Answer:

Adélie penguins= 826,680

Step-by-step explanation:

Giving the following information:

Total penguin population= 1,503,054

Adélie penguins= 55%

To calculate the number of Adélie penguins, we need to use the following formula:

Adélie penguins= total penguin polulation*proportion of Adélie penguins

Adélie penguins= 1,503,054*0.55

Adélie penguins= 826,680

Simplify the expression shown below:
log(10^6 X^2), where x > 0

Answers

Answer:

2^6 Times 5^6x^6

Step-by-step explanation:

PLiss i really need help pliss, plisss

Answers

Step-by-step explanation:

I tried. if I got this wrong I might need to go back to kindergarten

pls help me and really fast​

Answers

B -1 1/4 because -6/4 is -1 2/4 and when u go to the right ur getting closer to positive so ya

What is 9 to the power of 4 + 6(7 x 3) - 3?

Answers

Answer: 127^9 so 8594754748609400000

Step-by-step explanation: i’m not sure but 4+6 (7x3)-3 = 127 127^9

pls help with this math question
-1 1/2 (-2/5x + 1 1/3) -2 1/2 (3/5x + 1/3)

Answers

Answer: -3.73

Step-by-step explanation:

Hope it's correct.

Glad I could help!

Solve for x. I’ll give BRAINLIEST!!

Answers

Answer:

x = -7

Step-by-step explanation:

Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.

Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.

Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.

Therefore, use the equation below to solve for x:

180 = 54 + 85 + (48 + x)

x = 180 - 54 - 85 -48 = -7

The coordinates of the turning point of the parabola whose
equation is y = x² - 6x + 8

Answers

Answer:

y=×2-6×+7 is the answer

Below is the total benefit Michelle estimates she would get for eating handfuls of dried cranberries in one sitting. Number of Handfuls Total Benefit (dollars) 1 $2.00 2 $3.50 3 $4.50 4 $5.00 5 $5.25 6 $5.00 7 $4.00 If a handful of dried cranberries costs $0.50, what is the optimal number of handfuls for Michelle to eat? 2 3 4 5 6
Help please don't have to just say how your day is

Answers

Answer:

5

Step-by-step explanation:

only odd numbers are prime numbers true or false?

Answers

Answer:

False.

:D

幸運を!

find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)

Answers

Answer:

[tex] (x, y) = (2, 1) [/tex]

Step-by-step explanation:

Given vertices of a triangle:

[tex] (x_1, y_1) = (-4, -2) [/tex]

[tex] (x_2, y_2) = (1, 0) [/tex]

[tex] (x_3, y_3) = (9, 5) [/tex]

Using the centroid formula:

[tex] (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) [/tex]

Plug in the values into the formula

[tex] (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) [/tex]

[tex] (x, y) = (\frac{6}{3}, \frac{3}{3}) [/tex]

[tex] (x, y) = (2, 1) [/tex]

HELP NOW

The energy created by the WHAT
gradient is used by ATP synthase to chemically
bond a phosphate group to ADP, synthesizing ATP
in the light reactions of photosynthesis,

Answers

Answer:

ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.

Step-by-step explanation:

the number has three digits that add up to 10 when it is multiply by 0.5 the product is 6.35. whats the number?​

Answers

Answer:

i know

Step-by-step explanation:

bro

3.3^(2x+1)-103^x+1=0 need solution of this question

Answers

Answer:

Concepts of mathematics Answer: x= -1.53

The solution of 5(x+2) – 3x = 2(x – 5)

Answers

Answer:

Step-by-step explanation:

5x + 10 - 3x = 2x - 10

2x + 10 = 2x - 10

0x = -20

no solution

(2x+1)^2 - (x+3)^2 simplify

Answers

Answer:

Step-by-step explanation:

steps are below

step 1

(2x+1)^2 - (x+3)^2  equation

step 2

4x^2+4x+1+(-x^2)+(-6x)+(-9)  distribute

step 3

4x^2+4x+1+(-x^2)+(-6x)+(-9)

(4x^2+-x^2)+(4x+(-6x)+(1+(-9)  combine the like terms

3x^2-2x-8

Can a wheel make 72 revolutions per minute

Answers

Answer:

no,i don't think about it

If cos a= 0.93,Sin 0 =0.26, and tan ß = 0.84, find a + B + 0.

Answers

Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

[tex]\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07[/tex]

So,

[tex]\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665[/tex]

Hence, the final answer is 76.665.

NEED HELP ASAP PLEASE AND THANK YOU IN ADVANCE ​

Answers

Answer:

C

Step-by-step explanation:

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