What is x + 9≤10 as an inequalite ?
2 answers:
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The area of the square of the leg 6 is 36 square units.
The area of the square of the leg 8 is 64 square units.
The area of the square of the hypotenuse square is 100 square units.
The length of the hypotenuse is 10 units.
Formula Used
Area of square, A =
Here, is the length of the side of the square.
Pythagoras Theorem is given as,
Here, are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.
Area of the Square of the Leg 6
Length of the edge of the square = 6 units
Area of square = 6*6
= 36 square units
Area of the Square of the Leg 8
Length of the edge of the square = 8 units
Area of square = 8*8
= 64 square units
Area of the Hypotenuse Square and the Length of the Hypotenuse
Applying Pythagoras theorem,
Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.
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Answer:
a) height of this uniform distribution = 1/8 = 0.125.
b) P( 4 < x < 5) = (5 - 4)*0.125 = 0.125
c) P( 3 < x < 8) = (8 - 3)*0.125 = 0.625
d) P(x = 0) = 0*0.125 = 0
Step-by-step explanation:
Height of this uniform distribution is same as finding the probability for each waiting minutes.
Height of uniform distribution = 1/n. Where n is the number of occurence, in this n = 8.
a) height of this uniform distribution = 1/8 = 0.125.
Let random variable x = waiting time.
b) probability of waiting between four and five minutes
P( 4 < x < 5) = (5 - 4)*0.125 = 0.125
c) probability of waiting between three and eight minutes
P( 3 < x < 8) = (8 - 3)*0.125 = 0.625
d) probability of waiting five minutes exactly.
Since this would be just one line, and the width of the line is 0, then the
P(x = 0) = 0*0.125 = 0
