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lord [1]
3 years ago
9

Is 1/5 a rational number?? I need help ASAP

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
\frac{1}{5} is a rational number because it can be put as a fraction. An Irrational numbers cannot be a fraction since they are continuous (unless you estimate/round them up)  
Mashcka [7]3 years ago
6 0
1/5 is a rational number because when you convert it into decimal form, it is a terminal decimal; 0.2. 
Hope that answered your question.
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When consumers apply for credit, their credit is rated using FICO (Fair, Isaac, and Company) scores. Credit ratings are given be
Flura [38]

Answer:

a) The 99% confidence interval would be given by (589.588;731.038)

b) If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.  

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".

The data is:

661 595 548 730 791 678 672 491 492 583 762 624 769 729 734 706

Part a

Compute the sample mean and sample standard deviation.  

In order to calculate the mean and the sample deviation we need to have on mind the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n}  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}  

=AVERAGE(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

On this case the average is \bar X= 660.313

=STDEV.S(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

The sample standard deviation obtained was s=95.898

Find the critical value t* Use the formula for a CI to find upper and lower endpoints

In order to find the critical value we need to take in count that our sample size n =16<30 and on this case we don't know about the population standard deviation, so on this case we need to use the t 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. The degrees of freedom are given by:

df=n-1=16-1=15

We can find the critical values in excel using the following formulas:

"=T.INV(0.005,15)" for t_{\alpha/2}=-2.95

"=T.INV(1-0.005,15)" for t_{1-\alpha/2}=2.95

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}  

And if we find the limits we got:

660.313- 2.95\frac{95.898}{\sqrt{16}}=589.588  

[tex]660.313+ 2.95\frac{95.898}{\sqrt{16}}=731.038/tex]  

So the 99% confidence interval would be given by (589.588;731.038)

Part b

If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.  

4 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br> |x = °|
Serga [27]
X+30+70=180
x+100=180. -100 both sides
x=80

|x=80° |
8 0
3 years ago
Line___is a transversal.
iVinArrow [24]

Answer:

C

Step-by-step explanation:

Line A is Parallel to Line B

Line C intersects Line A and B

4 0
3 years ago
Read 2 more answers
Rafael bought a bag of candy that contains 50 pieces. 30 of those pieces4
ludmilkaskok [199]

tell rafel to be careful , he might get diabetes

Step-by-step explanation:

8 0
3 years ago
17. Solve the equation using square roots. x^2 + 5 = 41 a.+-36 b.no real number solutions c.6 d.+-6
Kipish [7]
Solve your equation step-by-step.

x^2+5=41

Subtract 5 from both sides.

x^2+5−5=41−5

x^2=36

Take square root.

x=±√36

x=6

or

x=−6

So your answer suppose to be C and D.
But if you were to put only one answer in the answering box, then just say C)


5 0
3 years ago
Read 2 more answers
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