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Ganezh [65]
2 years ago
6

A complex fraction is a fraction of a fraction. True False

Mathematics
2 answers:
Elis [28]2 years ago
5 0
True because <span>a complex fraction is a fraction where either the numerator, denominator, or both have a fraction in them.</span>
dsp732 years ago
3 0

Answer:

The answer is TRUE

Step-by-step explanation:

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Of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.<br>an<br>ple 4:​
Rasek [7]

<u><em>Question</em></u>

<em>If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.</em>

<em></em>

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain%  =   \frac{s.p - c.p}{c.p}  ×    100%

But from the question;

"CP of 15 articles equals to the SP of 12 articles", this implies that

15 c.p  =  12 s.p

s.p = 15c.p  /   12

s.p  = \frac{15 c.p}{12}       =   \frac{5c.p}{4}

s.p  =  \frac{5c.p}{4}

substitute  s.p  =  \frac{5c.p}{4}   into the formula

gain%  =   \frac{s.p - c.p}{c.p}  ×    100%

      =\frac{\frac{5c.p}{4} -  c.p }{c.p}     ×    100%

       =  \frac{\frac{5c.p - 4c.p}{4} }{c.p}      ×    100%

  =   \frac{c.p}{4}   ÷   c.p      ×    100%

= \frac{c.p}{4}     ×   \frac{1}{c.p}    ×    100%

=   \frac{1}{4}  ×    100%

=  25 %

3 0
3 years ago
Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student
AysviL [449]

Answer:

The mean calculated for this case is \bar X=584

And the 95% confidence interval is given by:

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=584

The sample deviation calculated s=86.776

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=5-1=4

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that t_{\alpha/2}=2.776

Now we have everything in order to replace into formula (1):

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

3 0
2 years ago
What is the value of x when h(x)=-3? -7
Pachacha [2.7K]

Answer:

○ -1

Step-by-step explanation:

Looking closely at this piecewise function, when the line on the left-hand side intersects at <em>-</em><em>3</em><em> </em><em>=</em><em> </em><em>y</em><em>,</em><em> </em><em>x</em><em> </em>is -1.

I hope this helps, and as always, I am joyous to assist anyone at any time.

7 0
2 years ago
Find three consecutive odd integers so that the sum of twice the first, the second
netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

So

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

7 0
3 years ago
What is the equation for the line that goes through points (3,6) and (-3,-2)?​
Basile [38]
Unless unusually unusual unification under
5 0
2 years ago
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