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Sliva [168]
2 years ago
9

{5} + \frac{1}{3} " alt="\frac{3}{5} + \frac{1}{3} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Reptile [31]2 years ago
8 0

Answer:

\frac{14}{15}

Step-by-step explanation:

You first make a common denominator:

You find the lowest common factor between 5 and 3 which is 15.

\frac{9}{15} + \frac{5}{15}

Then solve:

You add the numerators but the denominator stays the same.

\frac{9}{15}

Scrat [10]2 years ago
4 0
The answer would be 14/15

Find a common denominator that both of the fractions can use. An easy way to do this is simply multiply the denominators together. So for 3/5 you would multiply by 3 to get the fraction 9/15 and then multiply 1/3 by 5 to get 5/15. Add both 9/15 and 5/15 to then get 14/15.
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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
2 years ago
Add (3a+1)+(5x+8)=??
IrinaVladis [17]
Your answer should be 3a^2 + 5x + 9
5 0
2 years ago
Rewrite the expression that is equivalent to x^2/3.<br> -pasagot po please-.-
EastWind [94]

Answer:

\sqrt[3]{x^{2}}

Step-by-step explanation:

x^{2/3} = \sqrt[3]{x^{2}}

5 0
2 years ago
Could x = -5 be a solution to the inequality -6 &lt; 3x + 9 &lt; 21?
musickatia [10]

Answer:

<h2><u><em>x=−5<x<4</em></u></h2>

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
7.2x10⁷ = (2x10⁴) (3.6x10^n) what is the value of N​
mash [69]

Answer:

The N value represents a standard value of energy required to penetrate 30 cm into soil by percussion drilling. It is standardized as the energy of a falling hammer from a height of 0,76 m.

Step-by-step explanation:

3 0
2 years ago
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