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Vesna [10]
2 years ago
6

Enter the enter the first four terms of the sequence defined by the given rule assume that the domain of each function is the se

t of whole numbers greater than f(1) =4, f(n)= (-5) •F(n-1)+11 The first 4 terms of the sequences are?
Mathematics
1 answer:
Gelneren [198K]2 years ago
3 0

Answer:

  {1, -9, 56, -269}

Step-by-step explanation:

Evaluate the rule for n=2, 3, and 4 in sequence.

For n=2

  f(2) = (-5)f(1) +11 = (-5)(4) +11 = -9

  f(3) = (-5)f(2) +11 = (-5)(-9) +11 = 56

  f(4) = (-5)f(3) +11 = (-5)(56) +11 = -269

The first four terms of the sequence are {1, -9, 56, -269}.

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A hotel must increase its price by 5% per night, if the new price is $168 per night. What was the original cost?
ValentinkaMS [17]

Hey there! I'm happy to help!

We see that if you add 5% to the original cost, we have $168 as our cost. This means that 105% of the original cost is 168. Let's set up an equation to find the original cost. Let's call our original cost c.

To turn a percent into a decimal, you divide by 100.

1.05c=168

We divide both sides by 1.05.

c=160

Therefore, the original cost was $160.

Have a wonderful day! :D

5 0
2 years ago
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Step-by-step explanation:

8 0
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4 0
3 years ago
It has been decided that 100 people need to be surveyed to decide the publics opinion on a school building project. A student su
Morgarella [4.7K]

Answer:

The proposed way of sampling is a biased way to perform the survey.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling method that comprises of the sample being taken from that portion of the population that is near to hand.  In this type of sampling method, all items doesn’t have an equivalent chance of being selected, which doesn’t comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach.

Convenience sampling consists of selection bias, i.e.e the bias involved in the sample due to inappropriate selection procedures.

For example, randomly selecting 4 people sitting near him to guesstimate the mean age of the class is a convenience sampling example. or gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.

In this case, the sample suggested by the students consists of surveying the first 100 people who enter the school, about the public opinion on a school building project.

This is an example of convenience sample.

So, there is a selection bias present in the sample.

Thus, the proposed way of sampling is a biased way to perform the survey.

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lidiya [134]

Answer:

c

Step-by-step explanation:

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