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dsp73
3 years ago
5

What's the answer for this equation? -2(5x+1)=58+10x

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

-2(5x+1)=58+10x

=>-10x + -2 = 58 + 10x

=> -10x -10x = 58 + 2

=> -20x = 60

=> x = 60/-20

=> x = -3

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Step-by-step explanation:

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Suppose that a system of linear equations has 3×5 augmented matrix whose 5th column is a pivot column. Is the system consistent?
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No, the system is inconsistent.

Step-by-step explanation:

If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.

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4 years ago
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3 years ago
A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars
motikmotik

Answer:

t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value for this case is given by:

p_v =P(t_{(7)}  

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Step-by-step explanation:

Information given

\bar X=25.5 represent the sample mean

s=1 represent the sample standard deviation

n=8 sample size  

\mu_o =26 represent the value to verify

\alpha=0.06 represent the significance level  

t would represent the statistic (variable of interest)  

p_v represent the p value

Hypothesis to est

We want to test if the true mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25.5  

Alternative hypothesis:\mu < 25.5  

The statistic for this case is given by;

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414    

The degrees of freedom are given by:

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The p value for this case is given by:

p_v =P(t_{(7)}  

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

3 0
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