Which sampling method is most appropriate in estimating the average number of votes for each candidate in an election across a county of three towns if town a has one million retirees, town b has two million business owners, and town c has three million office workers?

a. simple random sampling, because the people in the sample are accessible and available.

b. stratified sampling, because there are specific subgroups to investigate.

c. systematic sampling, because it is difficult to identify items using a simple random sampling method.

d. cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

e. all the above sampling methods

B. Stratified sampling, because there are specific subgroups to investigate.

Step-by-step explanation:

Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups proportional to their size and then these samples combined together to create sample of the study.

Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.

b) well because you get well

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.