The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
<h3>How to calculate the probability that reaction time is at most 2.5 seconds?</h3>
P(X ≤ 2.5) = Fx(2.5)
Fx(2.5) = 3/2 - 3/2(2.5)
Fx(2.5) = 3/2 - 3/5
Fx(2.5) = 0.9.
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Complete Question:
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:
f(x) = 
What is the probability that reaction time is at most 2.5 seconds?
Label the width: 4ft
Label the length: 12ft (4ft for each segment).
Perimeter=12+12+4+4=32ft
Question:
2x + y = 3, x - 2y = –1.
If equation one is multiplied by 2 and then the equations are added, the result is _____.
(A) 3x = 2
(B) 3x = 5
(C) 5x = 5
Answer:
Option C:
5x = 5
Solution:
Given equations are
2x + y = 3 – – – – (1)
x – 2y = –1 – – – – (2)
Let us first multiply equation (1) by 2, we get
(1) × 2 ⇒ 4x + 2y = 6 – – – – (3)
Now, add equation (3) to equation (2).
⇒ x – 2y + 4x + 2y = –1 + 6
Combine like terms together.
⇒ x + 4x – 2y + 2y = –1 + 6
⇒ 5x = 5
So, if equation one is multiplied by 2 and then the equations are added, the result is 5x = 5.
Answer: rational
Step-by-step explanation:
14. The answer is A; 8 is the opposite reciprocal of -1/8, which is what you need for perpendicular slope.
15. The answer is C; you can guess and check by plugging points into the equation.
