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?
Answer: 1 : 1.48
Step-by-step explanation:
Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.
The exchange rate can be gotten using direct proportion:
400 : 592
1 : x
Cross multiply:
400x = 592
x = 592/400
x = 1.48
Exchange rate is:
= 1 : 1.48
Exact form 1053/16
Decimal form 65.8125
mixed Number form 65 13/16
Answer:
120 cm^3
Step-by-step explanation:
the edges are 4 cm 5 cm 6 cm
volume of cuboid=l×b×h
=4cm×5cm×6cm
=120cm^3
Answer:
x = 
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = 
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = | 
| =
right side = 
- 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = | 
| =
right side = 
- 5 = -
right side ≠ left sides, hence not a solution
