The gemstone has 22 edges.
We use Euler's formula on this:
F + V - E = 2
Substituting our information, we have:
14 + 10 - E = 2
Combining like terms,
24 - E = 2
Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22
Divide both sides by -1:
-E/-1 = -22/-1
E = 22
Answer:9 nickels and 19 dimes.
Step-by-step explanation:
Let 
be the number of nickels Kay has.
Let 
be the number of dimes Kay has.
Value of 
nickel is $
Value of nickels is $
Value of dime is $
Value of nickels is $
Given that Kay has a total of 
coins.
So,
...(i)
Given that Kay has a total value of $
So,
...(ii)
Using (i) and (ii),
Answer:
a) Cluster sampling
Step-by-step explanation:
<em>Since here the population is divided into many groups (cluster) and one of these groups is taken as a sample. This type of sampling is called Cluster Sampling.</em>
Further,
In Cluster Sampling the population is distributed into a distinct group called cluster and clusters are chosen as a sample then it is Cluster Sampling.
Multistage Sampling is a complex form of Cluster Sampling. In this sampling population is divided into a different group then one or more groups are randomly selected then again that selected group is divided into a different small group and again one or more these small groups are randomly selected as sample. This process is done many times.
If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.
If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.
Answer:
Step-by-step explanation:
(Add 25 to both sides)
( Take square of both sides)
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