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lianna [129]
2 years ago
7

Make x the subject of m= n + x/p

Mathematics
1 answer:
Studentka2010 [4]2 years ago
4 0

Answer:

x = m × p - n

Step-by-step explanation:

m = n +  \frac{x}{p}

We can first multiply both sides by <em>p</em><em>.</em>

<em>m \times p = n + x</em>

And now we only have <em>n</em> left with <em>x</em>, so we subtract <em>n</em><em> </em>on both sides.

m \times p  - n = x \\or \\  x = m \times p - n

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How do you graph -4x + y = -3
Natasha2012 [34]

<em>I hope this helps you!</em>

5 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
3 years ago
I need help with number 4 I can’t get an answer
Alecsey [184]

Answer:

14.93

Step-by-step explanation:

For this problem you need to know distance formula, which is

d=√(x2-x1)²+(y2-y1)². You'll want to plug in (0,3) and (-2, 9) and go on to plug in all of them at some point. You'll get 6.32 as the distance between (0,3) and (-2, 9), 3.61 as the distance between (-2, 9) and (-4, 6), and 5 as the distance between (-4, 6) and (0, 3). You add them up and get your answer.

7 0
3 years ago
The radius of a wheel on a toy truck is 4 inches. To the nearest foot, how far does the wheel
lbvjy [14]
2 feet I think, I could be wrong
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2 years ago
For a scale of 1cm: 12km what is the actual length represented by 1.7 cm
madreJ [45]
It would be 20.4 km because if 1cm is 12km then you just have to multiply 1.7 x 12 = 20.4. 
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3 years ago
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