Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation of the horizontal hyperbola in standard form is:
The position of its center is:
The values for c and a are respectively:
The remaining variable is computed from the following Pythagorean identity:
Now, the equation of the hyperbola is:
Answer:
The above answer is correct but the 3 should be a 9
Step-by-step explanation:
Plato
One-sample T
Test of mu=210 vs.>210
N Mean St. Dev SE Mean 95% lower bound T p
40 241.40 57.59 9.11 226.06 3.45 0.001
A H0 u>210 sec. H1 u < 210sec
B H0 u=210 sec. H1 u < 210sec
C H0 u<210 sec. H1 u> 210sec
D H0 u=210 sec. H1 u> 210sec
Identify the test statistic:
T =
Identify the P-Value
P-value=
Stat the final conclusion that addresses the original claim. Choose from below:
A. Reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
B. Fail to reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length great thatn 210 sec.
C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
D. Fail to reject H0. There is sufficient evidence to support the claim tha tthe sample is from a population of songs with a mean lenght greater than 210 sec.
What do the results suggest about the advice given in the manual?
A. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
B The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice
C. The results suggest that 241.4 seconds is the best song lenght.
D. The results are inconclusive because the average length of a hit song is constantly changing.
Answer:
D H0 u=210 sec. H1 u> 210sec
C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample 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 check if the mean is greater than 210 seconds, 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 side test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than 210 seconds.
C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
Answer:
x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4
Step-by-step explanation:
1. Need to factor or can use the quadratic formula
2x^2-10x-3=0
a=2, b=-10, c=-3
[-b+-sqrt(b^2-4*a*c)]/(2*a)
[10+-sqrt(100-4*(-200)]/4
[10+- sqrt(300)]/4
x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4
Answer:
do you expect me to flip sideways just to help you cheat on ur homework
Step-by-step explanation: