2x + 5y = 19 y = 3x - 3 Solve for x and y
1 answer:
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Answer:
H 0 : μ = 3.1 H 1 : μ > 3.1
And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.
The p value is:
The significance level is: 0.1 or 10%
And since the p value is very low compared to the significance level we have enough evidence to:
Reject the null hypothesis
Step-by-step explanation:
For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:
H 0 : μ = 3.1 H 1 : μ > 3.1
And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.
We have the following info given:
The statistic to check the hypothesis is given by:
Replacing the info given we got:
The degrees of freedom are given by:
The p value since is a right tailed ted is given by:
The significance level is 0.1 or 10%
And since the p value is very low compared to the significance level we have enough evidence to:
Reject the null hypothesis
Answer:
4.1 N
Step-by-step explanation:
We can solve this problem by using considerations about energy.
At the moment the stone is dropped, it has only gravitational potential energy:
where
is the weight of the stone
h = 10 m is the initial height of the stone
As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:
where:
is the mass
v = 13 m/s is the final speed of the stone
is the thermal energy
The thermal energy is actually equal to the work done by the air friction on the stone:
where
F is the average force of friction
h = 10 m
Since the total energy must be conserved, we can combine the three equations, so we find:
And solving for F, we find the average force of air friction: