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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

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The sum of three consecutive multiples of 4 is 444. Find the multiples.<br> PLEASE ANS FAST PLS
SOVA2 [1]

Answer:

144,148,152

Step-by-step explanation:

Here we will have, 4x + 4(x+1) + 4(x+2) = 444

=> x + (x+1) + (x+2) = 111 (dividing both sides by 4)

=>x + x+1 + x+2 =111

=> 3x + 3 = 111

=> 3x = 108

=> x = 36.

So, the three desired numbers 4x, 4(x+1) and 4(x+2) are,

4*36, 4*(36+1) and 4*(36+2)

That means the numbers are, 144, 148 and 152.

8 0
3 years ago
NEED HELP
solmaris [256]

The solutions to the systems of equations are:

1. (2, 3) (see attachment below). [one solution]

2. no solution

3. (3, 13) [one solution]

<h3>Solution to a System of Equations?</h3>

The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.

1. Using graph to solve y = 2x - 1 and y = 4x - 5:

The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]

2. Solving using substitution method:

x = -5y + 4 ---> eqn. 1

3x + 15y = -1 ---> eqn. 2

Substitute x = -5y + 4 into eqn. 2

3(-5y + 4) + 15y = -1

-15y + 12 + 15y = -1

-15y + 15y = -1 - 12

0 = -13 (this shows that there is no solution)

3. Using elimination method:

14x = 2y + 16 ---> eqn. 1

5x = y + 2 ---> eqn. 2

1(14x = 2y + 16)

2(5x = y + 2)

14x = 2y + 16 ----> eqn. 3

10x = 2y + 4 -----> eqn. 4

Subtract

4x = 12

x = 12/4

x = 3

Substitute x = 3 into eqn. 2

5(3) = y + 2

15 = y + 2

15 - 2 = y

13 = y

y = 13

The solution is: (3, 13).

Learn more about the solution of a system of equations on:

brainly.com/question/13729904

#SPJ1

5 0
2 years ago
The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence
Helga [31]
Answer: 17

21-4=17


4+17=21
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3 years ago
Drag the values into the boxes to classify each number as rational or irrational. picture below pls help quick.
larisa [96]

Answer:

Step-by-step explanation:

Rational numbers;

Numbers which can be written in the form of \frac{p}{q} or repeating decimal numbers are the rational numbers.

Examples : 1, 2, \frac{2}{3}

Irrational numbers:

Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.

Example: \sqrt{8},\pi,\sqrt{\frac{8}{21} }

From the given numbers,

Rational numbers:  \frac{11}{3}, 6.25, 0.01045, \sqrt{\frac{16}{81} }, 0.424242....

Irrational numbers:  \sqrt{48}, \sqrt{\frac{3}{16} }

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