Answer:
This sampling technique is called cluster
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
The population is divided into groups(by stores), and all elements of the groups(all customers at the stores are sampled), which is the characteristic of a cluster sampling.
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
Answer:
m∠ADC = 132°
Step-by-step explanation:
From the figure attached,
By applying sine rule in ΔABD,


sin(∠ADB) = 
= 0.74231
m∠ADB = 
= 47.92°
≈ 48°
m∠ADC + m∠ADB = 180° [Linear pair of angles]
m∠ADC + 48° = 180°
m∠ADC = 180° - 48°
m∠ADC = 132°
Answer:
4 bags of takis
Step-by-step explanation:
take the $22 and subtract the $3.50 for the oreos, this leaves you with $18.50.
now, take the $18.50 and divide that by $4 (the amount takis cost) and you will find out how many bas he will he able to buy.
18.50/4 = 4.6 he will be able to buy only 4 bags and will have $2.50 left over