What is the value of x? A. 2 Units B. 3 Units C. 5 Units D. 8 Units
1 answer:
You need the formula for geometric mean for right triangles as it applies to the altitude. For us, that formula will be where BD is your altitude. The formula then, filled in accordingly, would be
. We cross multiply to get that
. Divide both sides by 4 to get
, so x = 5. Choice C is the one you want.
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Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used 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.
5% of calculators coming out of the production lines have a defect.
This means that
Fifty calculators are randomly selected from the production line and tested for defects.
This means that
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So
0.2611 = 26.11% probability that exactly 2 calculators are defective.