In physics, it is important to use mathematical approximations. for instance, in a small angle approximation, tanα ∼ sin α . find the largest angle α for which the difference between the sine and the tangent of an angle is less than 10.4% of the sinα value. answer in units of rad.

As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. if the true percentage of voters who vote for the proposition is 63%, what is the probability that, in your sample, exactly 5 do not voted for the proposition before 2 voted for the proposition? the probability is