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?
What composite shape? Where is the shape?
Answer:
13 cm × 12 cm
Step-by-step explanation:
The diagonal of the top or bottom faces of the box is the hypotenuse of a triangle with legs 12 cm and 5 cm. The Pythagorean theorem tells you that diagonal length is ...
d = √(12² +5²) = √(144 +25) = √169 = 13 . . . cm
The width of the divider is 13 cm.
The height of the divider is shown as 12 cm.
The dimensions of the dividing rectangle are 13 cm by 12 cm.
Answer: x = 25
Step-by-step explanation:
If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:
(x+15) = (3x-35)
To find 'x', we just need to solve the above equation.
(x+15) = (3x-35)
x+15 = 3x-35
x-3x = -35-15
-2x = -50
x = 25.
Therefore, 'x' is 25 degrees.
