The manager of the only bowling alley in town wants to know how often the average person in his town goes bowling. He leaves a questionnaire at the front desk of his bowling alley with a sign that asks for customer input. Will this survey method give a good sample? Explain.

A.
Yes; since it is the only bowling alley in town, all bowlers must go there, and so the sample is random.

B.
Yes; so long as enough people take the time to fill out the survey, the sample will be random.

C.
No; the sample is not random. Not everyone will take the time to fill out the survey.

D.
No; the sample is not random. Only people who bowl will be able to fill out the survey. People who never bowl would not be represented in the sample.

What is the smallest integer n such that n\sqrt{2} is greater than 20

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota