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Bogdan [553]
3 years ago
11

Which of the following is a rational number?

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Answer:

The answer is B

storchak [24]3 years ago
4 0

Answer: B

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

All you need to do is find which of following is a whole number or integer.

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NEED HELP IN FINDING AREA
Aliun [14]

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) <em>{17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}</em>

425 + (24 * 13) + (6 * 12) <em>{24 by 13 is 312.}</em>

425 + 312 + (6 * 12) <em>{6 by 12 is 72.}</em>

425 + 312 + 72 <em>{From left to right, add 425, 312, and 72 to get 809}</em>

737 + 72

809 km²

The area of this figure is 809 km².

5 0
3 years ago
What is the perimeter of this shape... Captionless Image
vampirchik [111]

Answer:

The shape is not there so i can not solve it

Step-by-step explanation:

6 0
3 years ago
Please help out I can’t really love this
77julia77 [94]
<h3>Answer:   Choice B)  45/56</h3>

========================================================

Explanation:

When we divide two fractions like this, we flip the second fraction and multiply like so...

\frac{5}{7} \div \frac{8}{9}\\\\\frac{5}{7} \times \frac{9}{8}\\\\\frac{5 \times 9}{7 \times 8}\\\\\frac{45}{56}\\\\

which points us to choice B as the answer.

The fraction 45/56 cannot be reduced further because 45 and 56 do not have any factors in common other than 1.

6 0
2 years ago
Read 2 more answers
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
3 years ago
Evaluate 6 x (15 - 7) - 4 <br> A: 10<br> B: 24<br> C: 44<br> D: 79
Svet_ta [14]
First Of All Please Follow This
PEMDAS

P: ()
E:^
M:x
D:/
A:+
S:-

6 x (15 - 7) - 4
6 x (8) - 4
48 - 4
44

Answer: C
6 0
2 years ago
Read 2 more answers
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