Answer:
13:12
Step-by-step explanation:
52% 2400 = 1248
48% 2400 = 1152
Reduce to 13/12 = 13:12
Partial products are different in regrouping in terms of how numbers are clustered from a set equation as a whole delivering it individual but naturally to all the numbers involved in the set.
Regrouping is just like the commutative or associative property of numbers.
<span>Associative property of addition is used when you want to group addends. This is mainly used to cluster set of numbers or in this case, addends. How do you use the associative property when you break apart addends? Simple you group them using the open and closed parentheses or brackets. Take for an example 1 + 1 + 2 = 4. Using the associative property you can have either (1 + 1) + 2 = 4 or 1 + (1 + 2) = 4 clustered into place. </span>
Answers:
- a) The 40 students selected to participate in the survey (8*5 = 40).
- b) The population is the set of all students in his five classes combined.
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Explanation:
The teacher wants to know something about his students, so he's only focused on them and no one else. The teacher has 5 classes. Let's say each class has 40 students. That would mean 40*5 = 200 students total are taught by this bio teacher, and these 200 students make up the population. We're not considering any other student in this school since they are not in this teacher's class.
Once the population is well formed and well defined, the sample is drawn from the population. Specifically, the teacher is randomly selecting 8 people from each class. The teacher is using the stratified sample technique. Each class is a stratum, ie, a separate group. The plural of stratum is strata. Because there are 5 classes, and 8 people selected per class, this leads to an overall sample of 8*5 = 40 students. Those 40 students chosen randomly fairly represent the 200 students in the population. Therefore, this process is fairly unbiased.
Be sure not to mix stratified sampling with cluster sampling. Cluster sampling is not performed here because that would mean the teacher randomly selects say 2 classrooms (ie clusters) and samples <em>everyone </em>in each cluster selected. Instead, the teacher is only picking representatives from each class, as if those people were elected to office. As you can probably guess, cluster sampling can be expensive in terms of time and money, so if you need to apply a cluster sample, then it's best to make the clusters as small as possible but also make sure each cluster is reflective of the population.
Answer:
10,072
Step-by-step explanation:
just subtract them From each other
Answer:
$3489.39
Step-by-step explanation:
This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.
The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.
Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.
1) Divide 8 by 100.
2) Add 1 to 0.08.
3) Multiply 1100 by 1.08 to the power of 15.
