Option a: is the solution to the system of equations.
Explanation:
The equations are and
Equating these two equations, we have,
Taking LCM and multiplying both sides by 5, we get,
Simplifying , we get,
Substituting the value of x in , we get,
Thus, the solution is
Changing the solution from fraction to decimal, we get,
Thus, the solution is
Hence, option a is the correct answer.
Answer:
The 85% confidence interval would be given by (0.261;0.319)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Data given
number of people who pass
random sample taken
estimated proportion of people who black put at G forces greater then 6
true population proportion of people who black put at G forces greater then 6
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 85% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 85% confidence interval would be given by (0.261;0.319)