The length of two parallel sides of a trapezium are 5cm and 7cm and the area is 120cm.sq find the distance between the parallel
1 answer:
The height or the distance between the two parallel sides of the given trapezium is 20 cm.
A trapezium or trapezoid is a two-dimensional geometric shape that has 4 sides, with one pair of parallel sides.
The parallel sides of a trapezium are called bases while the distance between them is the altitude or height.
The formula for the area of a trapezoid is given by
A = (a + b)/2 x h
where a and b are the parallel bases and h is the height.
Using this formula, the height or the distance between the two parallel sides can be computed.
A = (a + b)/2 x h
120 cm^2 = (5 cm + 7 cm) / 2 x h
120 = (12 / 2) x h
120 = 6h
h = 120 / 6
h = 20 cm
For more examples on solving the area of a trapezium, visit brainly.com/question/16904048.
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Answer:
A) probability of failure in next 100 hours given that it has been tested for 500 hours without failure is 0.181
B) probability that exactly two have the metabolic defect is 0.03
Step-by-step explanation:
Part A)
Let X be a exponentially random variable with mean = μ = 500 hrs
For exponential distribution:
λ = 1/μ
λ = 0.002
We have to find the probability of failure in the next 100 hours given that assembly has been tested for 500 hours without a failure.
Using memory less property of exponential distribution:
using
Chances of occurrence of metabolic defect = 5%
P(C) = .05
No. of randomly selected infants = n =6
We have to find the probability that exactly two have the metabolic defect
⇒x = 2
Using binomial probability density function:
P =
probability that exactly two have the metabolic defect is 0.03