Answer:
2.9
Step-by-step explanation:
Answer:
Null hypothesis:
Alternative hypothesis:
The sample size on this case is n=8, then the degrees of freedom are given by:
The statistic is given by:
For this case the value of the statistic is given
Since we are using a bilateral test the p value would be given by:
And we can use the following excel code to find it:
"=2*(1-T.DIST(2.315;7;TRUE))"
Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:
0.05<P-value <0.10, fail to reject the null hypothesis
Step-by-step explanation:
Assuming this complete question :"Given a test statistic of t=2.315 of a left-tailed test with n=8, use a 0.05 significance level to test a claim that the mean of a given population is equal to 110.
Find the range of values for the P-value and state the initial conclusion 1 point) 0.05<P-value <0.10; reject the null hypothesis
0.05<P-value <0.10, fail to reject the null hypothesis
0.025 < P-value <0.05; reject the null hypothesis
0.025< P-value<0.05; fail to reject the null hypothesis"
For this case they want to test if the population mean is 110 or no, the systemof hypothesis are:
Null hypothesis:
Alternative hypothesis:
The sample size on this case is n=8, then the degrees of freedom are given by:
The statistic is given by:
For this case the value of the statistic is given
Since we are using a bilateral test the p value would be given by:
And we can use the following excel code to find it:
"=2*(1-T.DIST(2.315;7;TRUE))"
Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:
0.05<P-value <0.10, fail to reject the null hypothesis
1.6 ft
9.8 ft
19.6 ft
Approximately, how long does it take until the soccer ball hits the ground again?
0.6 sec
0.8 sec
1.6 secs
2.8 secs
Answer:
Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs
Step-by-step explanation:
Since, the ball kicked will take the motion of projectile, therefore using the equation: h(t)= , where h(t) is the height of the soccer ball, a is the acceleration whose value is -16 ft/sec^2 and v= 35 feet and d is the starting height which is equal to zero.
Therefore, h(t)= (1)
Differentiating this equation with respect to t,
=
=
=
Substituting the value of t in equation (1),
=
=
≈9.8ft
Hence, option C is correct.
Now, In order to determine the time taken until the soccer ball hits the ground, we take the equation:
Since, when the ball hits the ground, the height will become equal to zero, therefore we have, h(t)=0
Now,
Then, one solution is t=0 and the other is:
≈
Hence, option B is correct.
Answer:
9.8 ft for the maximum height
1.6 sec for the time it’ll take for the ball to hit the ground again
I just took a test and it shows me what I got wrong alongside the correct answers. And this was a question it asked.
The slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 is
Solution:
Given that we have to find the slope of the line that is perpendicular to a line whose equation is −2y = 3x + 7
The slope intercept form is given as:
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Given equation is:
On comparing the above equation with slope intercept form,
We know that product of slope of a line and slope of line perpendicular to it is -1
Therefore,
Thus slope of line that is perpendicular to given line is