Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
1 answer:
ANSWER
EXPLANATION
The given function is
According to the remainder theorem,
where R is the remainder when
is divided by
We therefore substitute the value of x and evaluate to obtain,
This will evaluate to,
Hence the value of the function when
is
According to the remainder theorem,
is the remainder when
is divided by
EXPLANATION
The given function is
According to the remainder theorem,
where R is the remainder when
is divided by
We therefore substitute the value of x and evaluate to obtain,
This will evaluate to,
Hence the value of the function when
is
According to the remainder theorem,
is the remainder when
is divided by
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Answer:
A
Step-by-step explanation:
We know that the growth of a linear function will always be constant. So, that eliminates B and C.
A quadratic function can be a function such as , or
, etc.
An exponential function wouldn't be , it would be
! Or
, or
, etc. Therefore, D is eliminated.
So, the answer is and we're done!
Answer:
If we compare the p value with a significance level for example we see that
so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.
Step-by-step explanation:
Data given and notation
represent the mean for the account balances of a credit company
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.
t 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 determine if the mean for the person consume is more than 28.5 gallons, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case we can use the t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-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:
Calculate the P-value
First we need to calculate the degrees of freedom given by:
Since is a one-side lower test the p value would be:
In Excel we can use the following formula to find the p value "=T.DIST(-1.707,99)"
Conclusion
If we compare the p value with a significance level for example we see that
so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.