Answer:
64 and 34
Step-by-step explanation:
Given
a + b = 8 ( square both sides )
(a + b)² = 8² = 64
------------------------------------------------
(a + b)² = 64 ← expand left side
a² + b² + 2ab = 64 ← substitute ab = 15
a² + b² + 2(15) = 64
a² + b² + 30 = 64 ( subtract 30 from both sides )
a² + b² = 34
Answer:
273 = 3 x 7 x 13.
273 is 100010001 in base 2 (binary), 333 in base 9, and 111 in base 16.
The 273rd prime minus the sum of gaps between the first 273 consecutive primes minus 1 equals 273.
273 is the sum of each of two consecutive sums of consecutive numbers: 273 = 36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 + 48.
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Answer: self-selection bias
Step-by-step explanation:
In statistics, self-selection bias occurs in a situation where individuals select themselves into a group, leading to a biased sample with nonprobability sampling.
It is the problem that very always results when survey respondents are allowed to decide entirely for themselves whether or not they are interested in a survey. To the extent that respondents' propensity for participating in the study is correlated with the substantive topic the researchers are trying to study, there will be self-selection bias in the resulting data.
In most cases, self-selection will lead to biased data, as the respondents who choose to participate will not well represent the entire target population.