Answer:
see below
Step-by-step explanation:
80 - 71 = 9
That means 9 studied neither language
25+14 = 39 studied only 1 language
71 - 39 =32
32 studied both
Can someone help me on this problem please? I'm not sure how to figure it out. Thank you! :P
2 answers:
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The artistic crop isn't helpful; it cuts off some vertex names.
The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so
EH² = HL² + EL²
EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339
Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.
Answer: 4.25
Answer:
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Step-by-step explanation:
Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Lots of 50 means that
5 are defective, which means that
4 are selected, which means that
Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
This is . So
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.