Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest si
1 answer:
Step-by-step explanation:
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90.
If one of the angle is 90 degrees, it would mean that he has drawn a right angle triangle.
Hypotenuse is the longest side of the triangle. We can find it using Pythagoras theorem as follows:
The longest side is 13 cm.
If we keep the longest side the same and if two sides i.e. 5 cm and 12 cm are replaced, a new triangle can form.
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we have
Step
<u>Clear the variable y</u>
Adds both sides
Step
<u>Convert in function notation</u>
Let
therefore
<u>the answer is</u>
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375