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son4ous [18]
3 years ago
9

Please Help! Is the data set approximately periodic? If so, what are its period and amplitude?

Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

Option C. Periodic

Step-by-step explanation:

This problem is set with the number of days passing by versus the book borrowed, possibly by a library.

In order to see this, let's recall the concept of period and amplitude. The period in this case would be how much a number or a pattern is repeated over time. The amplitude would be the result of the difference between the maximum value and the minimum value of the table, in this case, the number of books borrowed.

Now, if you watch closely the table, we can watch a pattern. Which pattern? well, let's divide the table in 3 parts.

The first 4 days, we have: 102. 76, 91, 140

The second 4 days: 98, 74, 88, 137

The last 4 days: 100, 75, 92, 139

As you can see, every 4 days we get a pattern of books borrowed and almost the same number. [In day 1, 102 books were borrowed, and in day 5, 98 books were borrowed. The difference between that and the first day is only 4 books.

Day 2, was 76 books and day 6 was 74, again a very small difference. If we do the same for the remaining day we can conclude that every 4 days, the number of books borrowed follows a pattern, so we can conclude that the period would be 4.

Now to get the amplitude, let's see the average of difference between the maximun and minimum value:

A = 140 - 74 / 2 = 33.

As we can see, the value it's not exactly 25, but it's close to 33, and the problem states if the data set is approximately periodic, so, we can go with this option.

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The shirts cost a $150 for a 100 shirts how much per shirt
Rufina [12.5K]

Answer:

$1.5 per shirt if that's what you meant

Step-by-step explanation:

5 0
3 years ago
Marta can vacuum the house in 30 min. It takes her daughter 45 min to vacuum the house. How long would it take them if they
Mamont248 [21]

Answer:

<h2>18mins</h2>

Step-by-step explanation:

This problem is on combined work rate

given that

Marta can vacuum the house in 30 min

then her rate= 1/30

Also, her daughter will take 45 min to vacuum the house

her  daughter's rate will be = 1/45

then the combined work rate is

1/30+1/45=1/T

30+45/30*45=1/T

75/1350= 1/T

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3 years ago
If an elevator travels 5 stories every 6 seconds, how many stories does it travel in 24 seconds?
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3 0
3 years ago
Read 2 more answers
8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be use
geniusboy [140]

Answer:

An = 32 - (4*(n-1))

Step-by-step explanation:

the starting term for this pattern is 32 (which you will need to include in the "rule")

you also know that the next term is the previous term - 4

so!

we can write this pattern as

An = 32 - (4*(n-1))

An = any number of term in the pattern

- ex). A2 = 28, A3 = 24, etc

n = the nth term

- the 3rd term = 24, the fourth term = 20, etc

4 0
3 years ago
Find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units
lina2011 [118]

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = \sqrt{(10-2)^2+(y+3)^2}

   = \sqrt{8^2+(y+3)^2}

Given distance between points is 10, then

\sqrt{64 +(y+3)^2} = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± \sqrt{36} = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

7 0
3 years ago
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