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Semenov [28]
3 years ago
12

Explain the difference between rational numbers and integers.

Mathematics
1 answer:
Brut [27]3 years ago
5 0
Rational numbers are positive and negative numbers that can be said or seen fully (ex. 5 or 2.391); unlike irrational numbers that go on forever like pi.

Integers are negative and positive whole numbers, that do not include fractions or decimals. (ex. -1, 0, 50, -230)
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An arithmetic sequence with a third term of 8 and a constant difference of 5.
larisa [96]
An arithmetic sequence (a_n) is as follows:

a_1\\a_2=a_1+d\\a_3= a_1+2d\\a_4=a_1+3d,... where a_1 is the first term and d is the constant difference, 

thus, we see that the n'th term of an arithmetic sequence is a_n=a_1+(n-1)d


in our particular case d=5, the third term is 8, so we have:

a_3=8=a_1+2\cdot5\\\\8=a_1+10\\\\a_1=-2


and the general term is a_n=-2+5(n-1),


Answer: first term is -2, n'th term is -2+5(n-1)


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Which of the following statements correctly describes the items shown below?<br> Y=-6x+7
viva [34]

Answer:

where is the option??

Step-by-step explanation:

I dont see any options but I can say that -6x is the slope and +7 is the y-intercept

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Two sides of a triangle measure 10 inches and 13 inches. The included angle between these sides is 55°. What is the approximate
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A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
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The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

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S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

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Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
4 years ago
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