In the given question,the given explicit formula is

Which is of the form

So the constant difference is 7 here.
Now for the recursive formula
To find the next term, we need to add 7 to the current term, that is

So the correct option is B
The cross products of the proportion are equal.
According to the question, Sonny's equation can be written as follows.
16/x = 48/15
Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.
16/5 = 48/15
When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.
16*15= 48*5
The values of both the products are equal which is 240.
Therefore, because the cross products of the proportion are equal.
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The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
According to the question,
We have the following information:
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.
Now, let's take the percent to be x.
We have the following expression:
2400*x/100 = 125
24x = 125
x = 125/24
x = 5.21%
Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
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Answer:
The correct option is d) convenience sample
Step-by-step explanation:
In statistics, we use different sampling techniques to gather a chunk of sample data from a very large population.
There are many sampling techniques and out of them one is convenience sampling.
Convenience Sampling:
The convenience sampling is defined as the sample data which is readily and conveniently available.
Examples:
1. Asking people questions at a place that is convenient for you.
2. Asking your friends or family members
3. A college student asking for student's opinion at the college who is surveying for his thesis.
In the given scenario, Kristen Ashford has list of 5,000 subscribers for Wind Surfing magazine. She chooses the first 100 of the 5,000 names, this is clearly a convenient sample since the sample is easily, readily and conveniently available.
If she had selected 100 names randomly then it would have been called random sampling but in this case, she simply selected the first 100 names for the sake of convenience therefore, it is a convenience sample.