What is the area of the trapezoid?
2 answers:
Answer: The correct option is (B) 24 square units.
Step-by-step explanation: We are given to find the area of the trapezium in the figure.
The AREA of a TRAPEZIUM with lengths of parallel sides as 'a' and 'b' units and height 'h' units is given by the formula:
In the given trapezium, we have
lengths of the parallel sides are
a = 4 units and b = 8 units,
and height, h = 4 units.
Therefore, the area of the given trapezium is
Thus, the area of the trapezium is 24 square units.
Option (B) is correct.
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Answer:
a) 10.75% probability that exactly 30 of them will pass the quality control checks.
b) Expected value is 32
Variance is 6.4
Step-by-step explanation:
For each monitor, there are only two possible outcomes. Either they will pass the quality checks, or they will not pass these checks. The probability of a monitor passing these checks is independent of other monitors. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The expected value of the binomial distribution is:
The variance of the binomial distribution is:
80% of the monitors made by your company will pass your stringent quality control checks.
This means that
40 monitors have just come off the assembly line.
This means that
a) What is the probability that exactly 30 of them will pass the quality control checks?
This is P(X = 30). So
10.75% probability that exactly 30 of them will pass the quality control checks.
b) What are the expected value and variance of the number of these monitors that will pass the quality control checks?
Expected value is 32
Variance is 6.4