One number is seven more than three times another number. If the sum of the numbers is 15, find the numbers.
1 answer:
Answer:
2 and 13
Step-by-step explanation:
We can use systems of equations here to find both the numbers. Let's assume one of the numbers is and the other is
.
We know that these numbers add up to 15, so .
We also know that one of these numbers is 7 more than 3 times the other, so .
We can now substitute the equation into
.
Combine like terms:
Subtract 7 from both sides:
Divide both sides by 4:
.
Now that we know the value of , we can substitute it inside an equation to find
. Let's substitute it inside
.
So the two numbers are 2 and 13.
Hope this helped!
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Answer:
The degrees of freedom are given by:
And the p value would be given by:
And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate
Step-by-step explanation:
Data provided
represent the sample mean for the weigths
represent the sample standard deviation
sample size
represent the value that we want to analyze
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value for the test
System of hypothesis
We want to conduct a hypothesis in order to check if the true mean weigth is less than 4 or not, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
And the p value would be given by:
And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate