Simplify the expression to a polynomial in standard form: (3x-1)(3x^2+3x+8)
2 answers:
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Answer:
surface area of cube time
Step-by-step explanation:
given data
new volume = 10 time original volume
to find out
what factor surface area change
solution
we consider here side of cube is a
and volume is V
we consider here a is 2
then volume will be v1 = a³ = 2³ = 8
and surface area = 6a² = 6(2)² = 24 ..........1
so if volume increase 10 time
than
V = 10 × v1
a³ = 10 × 8
a³= 80
a = 2 × ∛10
and
surface area increase here
surface area = 6a²
surface area = 6( 2 × ∛10 )²
surface area = 24 × ............2
so from equation 1 and 2
surface area / surface area = 24 × / 24
surface area =
so here surface area of cube will be time
Answer:
If we compare the p value and the significance level assumed we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
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 check if the mean is at least 26 mpg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a 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:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one sided test the p value would be:
Conclusion
If we compare the p value and the significance level assumed we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.