Simplify 3 radical 27
2 answers:
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Answer:
(a) The probability distribution is valid.
(b) The probability that x = 30 is 0.30.
Step-by-step explanation:
The probability distribution of the random variable <em>X</em> is:
<em> x</em>: 20 | 25 | 30 | 35
f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35
(a)
The properties of a probability distribution are:
- 0 ≤ P (X) ≤ 1
- ∑ P (X) = 1
All the probability value are more than 0 and less than 1.
Compute the sum of all the probabilities as follows:
The sum of all probabilities is 1.
Thus, the probability distribution is valid.
(b)
Consider the probability distribution table.
The probability of <em>X</em> = 30 is,
P (X = 30) = 0.30.
Thus, the probability that x = 30 is 0.30.
Answer:
The area of trapezoid is 72 cm²
Step-by-step explanation:
Given : A trapezoid with given dimensions.
We have to find the area of trapezoid ABCD.
Consider the given trapezoid ABCD ,
AB = EF = 8 cm
and CE = FD = 4 cm
Then CD = CE + EF + FD = 4 + 8 + 4 = 16 cm
Thus, Area of trapezoid =
here, height = 6 cm
and sum of parallel sides = AB + CD = 16 + 8 = 24 cm
Thus, Area of trapezoid =
Simplify, we have,
Area of trapezoid = 72 cm²
Thus, The area of trapezoid is 72 cm²
