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Murljashka [212]
3 years ago
10

Combine like terms -qp - 4p=

Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

below

Step-by-step explanation:

[ -qp - 4p ] cannot be simplifed any further than it is. There are no like terms withing the equation making it unable to simplify.

Best of Luck!

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Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv
Natasha2012 [34]

Answer:

652.6-2.01\frac{311.7}{\sqrt{50}}=563.997    

652.6+2.01\frac{311.7}{\sqrt{50}}=741.203    

So on this case the 95% confidence interval would be given by (563.997;741.203)    

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=652.6 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size  

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

df=n-1=50-1=49

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that t_{\alpha/2}=2.01

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

652.6-2.01\frac{311.7}{\sqrt{50}}=563.997    

652.6+2.01\frac{311.7}{\sqrt{50}}=741.203    

So on this case the 95% confidence interval would be given by (563.997;741.203)    

6 0
3 years ago
Use the graph to find the unit rate
Diano4ka-milaya [45]
<h3>Answer:</h3>

2.4 potatoes/pound

<h3>Explanation:</h3>

The unit rate is the slope of the line. The slope of the line is ...

... (change in y-value)/(change in x-value)

... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)

... = (24 potatoes)/(10 pounds)

... = 2.4 potatoes/pound

_____

The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:

... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound

4 0
3 years ago
Read 2 more answers
Sarah drove 40 miles per hour. in 3 hours, sarah drove 120 miles. what is a valid proportion to represent the problem?
Stella [2.4K]
The proportion looks like this
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Read 2 more answers
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