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gulaghasi [49]
3 years ago
11

How would I find x to 4x+10=6x-2

Mathematics
2 answers:
Elena L [17]3 years ago
8 0
4x+10=6x-2
Combine the like terms “4x” and “6x”
So, it’s “4x-6x=-2-10”
-2x=-12
Make it positive (when two negatives, it’s the same as positive in an equation)
x=6
mixer [17]3 years ago
7 0

Answer:

6

Step-by-step explanation:

yoy would subtract the 6x by the 4x getting -2x+10= -2. then you would subtract the 10 from the -2 and get -2x=-12. last divide the -2 by -12 giving you positive 6

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An automobile club reported that the average price of regular gasoline in a certain state was ​$2.61 per gallon. The following d
laila [671]

Answer:

2.618-2.98\frac{0.078}{\sqrt{15}}=2.56    

2.618+2.98\frac{0.078}{\sqrt{15}}=2.68    

So on this case the 99% confidence interval would be given by (2.56;2.68)

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=2.618

The sample deviation calculated s=0.078

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

df=n-1=15-1=14

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that t_{\alpha/2}=2.98

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

2.618-2.98\frac{0.078}{\sqrt{15}}=2.56    

2.618+2.98\frac{0.078}{\sqrt{15}}=2.68    

So on this case the 99% confidence interval would be given by (2.56;2.68)    

5 0
3 years ago
Round 425.919 to the nearest whole number
Alika [10]
Rounded to the nearest whole number would be 426 
8 0
3 years ago
Read 2 more answers
What’s the correct answer for this?
Serga [27]

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

5 0
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Arnie's car used 100 cups of gasoline during a drive. He paid $3.12per gallon for gas how much did the gas cost
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Okay so in a gallon there are 16 cups, in this case 100 cups is equivalent to 6.25 gallons. 6.25 times 3.12= 19.5 

Therefore $19.5 is how much the gas cost!
4 0
3 years ago
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Which of the following best describes how to find the circumcenter of a triangle?
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Answer: B

Step-by-step explanation: :)

3 0
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