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maksim [4K]
3 years ago
15

How are integers and rational numbers different

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer:

An integer is a whole number, positive or negative. A rational number is a number which can be expressed as a fraction between 2 whole numbers. An integer is a rational number, because every integer can be expressed as a fraction between itself and 1, both whole numbers.

Step-by-step explanation:

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The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Rudiy27

Answer: The standard error of the mean = 0.5

Step-by-step explanation:

Given : Sample size : n =  144

Standard deviation : \sigma=6\text{ hours}

The formula to find the standard error of the mean is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}

i.e. S.E.=\dfrac{6}{\sqrt{144}}=0.5

Hence, the standard error of the mean =0.5

3 0
3 years ago
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

<h3>How to determine the range of a function?</h3>

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

To learn more about Range, Domain and functions refer to:

brainly.com/question/1942755

#SPJ4

7 0
2 years ago
Use the diagram at the right to answer questions 22–27.
kvv77 [185]

22. 30 degrees because line DB bisects(meaning cuts in half) angle ABC so DBC should be 30 degrees because 30+30 is 60 which is what angle ABC is.

23. 60 degrees because if we assume that it is a parallelogramand that the opposite angle are congruent.

24. 120 degrees because a quadrilatteral has sides that will equal to 360 degrees, and I said that a parallelogram will have its opposite angles congruent we take away 120 from 360 (from the previous angles ABC and BCD) we end up with 240, we divide 240 by 2 and end up with 120 degrees

25. 60 degrees. I found that angle DCB is 120 degrees so angles DCB and DCE are supplementary(add up to 180 degrees) and we subtract 120 from 180 which is 60 degrees.

26. 60 degrees vertical to angle DCE.

27. 120 degrees supplementary to DCE

8 0
3 years ago
Which expression is equivalent to the given expression? (-4ab)3
taurus [48]

Answer:

option d

Step-by-step explanation:

(-4ab)^3 = (-4ab)(-4ab)(-4ab) = -64a^3b^3 (option d)

I hope this helped, please give brainliest if this is correct! Thank you!

6 0
3 years ago
A one-way train ticket from New York to Los Angeles costs $197 for a reclining seat, and $490 for a twin-sharing room. How much
Alex777 [14]

The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars

<em><u>Solution:</u></em>

Given that,

Cost for reclining seat = $ 197

Cost for twin sharing room = $ 490

We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms

<em><u>Cost for reclining room when "x" passengers booked is:</u></em>

Cost for reclining room = $ 197x

<em><u>Cost when One fifths y passengers booked twin-sharing rooms</u></em>

Cost for twin sharing room = \frac{1}{5} \times y \times 490

Cost for twin sharing room = 98y

<em><u>Total cost is given as:</u></em>

Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers

Total\ cost = 197x + 98y

Thus total cost is (197x + 98y) dollars

4 0
3 years ago
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