Answer:
This person have a 29 % probability to receive a speeding ticket
Step-by-step explanation:
The probability of receive a speeding ticket in one of the traps is equal to the probability of going through that trap during the operation time of the trap.
Like we have four traps, and the probabilities are independent, then the probability of receive a speed ticket in one of them, is the sum of the probability for each trap.
P=P1+P2+P3+P4
The probability of going through a trap during the operation time is obtained by multiplying the probability of passing through the trap by the frequency of operation
Frequency of operation:
TL1 ⇒ 40 % = 0.4
TL2 ⇒ 30 % = 0.3
TL3 ⇒ 20 % = 0.2
TL4 ⇒ 30 % = 0.3
Probability of passing through these locations
PL1 ⇒ 0.3
PL2 ⇒ 0.2
PL3 ⇒ 0.4
PL4 ⇒ 0.1
then,
P1= TL1*PL1
P2= TL2*PL2
P3= TL3*PL3
P4= TL4*PL4
and
P = TL1*PL1 + TL2*PL2 + TL3*PL3 + TL4*PL4 = 0.12 + 0.06 + 0.08 + 0.03 = 0.29 = 29 %
This person have a 29 % probability to receive a speeding ticket
I think either might be a or b
<span>For the question "Which input value produces the same output value for the two functions on the graph?"
The solution of a system of equations is the point at which both the input value and the output value of the equations have the same value.
Graphically, it is the point of intersection of the graphs representing the equations.
Here the point of intersection of the line representing the graph is point (-2, 1) with an x-value of -2 and a y-value of 1.
The input value of a function is the x-value of the function.
Therefore, the input value that produces the same output value for the two functions on the graph is -2.</span>
Answer:
10 is your answer
Step-by-step explanation:
Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.
This means that the <em>1</em> side on the 30-60-90 triangle has a measurement of 5.
Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.
the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1
5 * 2 = 10
10 is your answer
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Answer:
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Step-by-step explanation:
Given that:
Alexis charges $25 for each news story and $5 per picture.
Let,
n represent the number of news stories and p represent the number of pictures.
Alexis' total charges = 
Paige charges $15 for each news story and $10 per picture.
The variables will be same.
Paige's total charges = 
Alexis and Paige's charges will be added if newspaper hire them together.
Total charges paid by newspaper = 
Hence,
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
