How would I solve this?

(3x-4) - (4x-1)

-x - 3

Step-by-step explanation:

(3x - 4) - (4x - 1) =

The first set of parentheses is unnecessary, so you can just remove it.

= 3x - 4 - (4x - 1)

To remove the second set of parentheses, you must distribute the negative sign to its left by the terms inside the parentheses. To do this, change every sign inside the parentheses.

= 3x - 4 - 4x + 1

Now combine like terms. Terms with x are like terms and are combined together. Therms without x are like terms and are combined together.

= 3x - 4x - 4 + 1

= -x - 3

If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 880 tons/day at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

represent the sample mean    

represent the population standard deviation for the sample  

sample size  

represent the value that we want to test  

represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean differs from 880, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

(1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

P-value  

Since is a two-sided test the p value would be:  

Conclusion  

If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 880 tons/day at 5% of signficance.