Can you put these number from least to greatest?
1 answer:
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The total cost of rice and beans bought by Gabriel is 6b + 4r. The return cost of rice and beans is 2b + 1r. So the final cost of the rice and beans is (6b + 4r) -(2b + 1r).
The simplified expression of the final cost is 4b + 1r.
<h3>What is simplification? </h3>Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that 6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice. This can be written as,
Then, the total number of bags of rice and beans is given as,
When we simplify the above equation, we get,
Hence we can conclude that the expression for rice and beans after the return is (4b+1r).
To know more about simplification, follow the link given below.
Answer:
So the answer for this case would be n=238 rounded up to the nearest integer
Null hypothesis:
Alternative hypothesis:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.
Step-by-step explanation:
For this case we have the following data given:
represent the sample mean
represent the population deviation
represent the sample size selected
represent the value that we want to test.
The standard error for this case is given by:
For the 90% confidence the value of the significance is given by and
so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:
And the margin of error would be:
The confidence interval for this case would be given by:
The margin of error is given by this formula:
(a)
And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Replacing into formula (b) we got:
So the answer for this case would be n=238 rounded up to the nearest integer
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, 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 left tailed 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 FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.