Which expression is equivalent to 1/4-3/4x? 1/4(1+3x) 1/4(1-3x) 1/4(-1+3x) 4(1+3x)

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

dalvyx [7]

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

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

8 0

3 years ago

Solve for X

tigry1 [53]

Answer:

$x = \pm e^{-1}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving quadratics
Multiple roots

Algebra II

Logarithms
Euler's number e

Step-by-step explanation:

Step 1: Define

$\displaystyle ln(x^2) = -2$

Step 2: Solve for x

Raise both sides by e: $e^{\displaystyle ln(x^2)} = e^{-2}$
Simplify equation: $x^2 = e^{-2}$
Square root both sides: $x = \pm e^{-1}$

7 0

2 years ago

Read 2 more answers

Which of the following inequalities are correct?

Natali5045456 [20]

Answer:

A and B

Step-by-step explanation:

- 3/5 is less than -1/5 because it is farther away from 0 on a number line (also, when it comes to figure out which inequality is true with negative number, the smaller one is going to be greater because it is closer to 0 on a number line)

3/5 is greater than 1/5 because they are both positive and 3/5 is the bigger number

-1/5 is not less than -3/5 because if A is true, than this cannot be true because it is saying the exact opposite.

6 0

2 years ago

The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.

Zanzabum

Answer:

I dont know sorry

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The city has a section of land that is 3,694.7 feet long. The city wants to partition this lengths to form 10 equal-sized garden

Soloha48 [4]

Answer:

369.47 ft

Step-by-step explanation:

Each plot is 1/10 of the total length, so has length ...

(3694.7 ft)/10 = 369.47 ft

5 0

3 years ago