Answer:
The confidence interval for the mean is given by the following formula:
Step-by-step explanation:
1) Notation and definitions
number of people or things with a specific characteristic.
random sample taken
estimated proportion of people or things with a specific characteristic.
true population proportion of people or things with a specific characteristic.
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".
Solution to the problem
The population proportion have the following distribution
If we have all the conditions required in order to construct the confidence interval:
1) Random sample selected
2) np >10
3) n(1-p)>10
Then the confidence interval for the mean is given by the following formula:
Answer:
it is 900
Step-by-step explanation:
you multiply 1200 by 0.75
Answer:
If y varies inversely as x, then we write it as:
y = k/x
where k is some constant.
If we multiply both sides of this equation by x we get an equation for k:
k = x*y
We are given that y=4 when x=7, therefore:
k = 7*4 = 28
Put this back into our original equation to get:
y = 28/x
Answer:
complex number
Step-by-step explanation:
77i is an imaginary number but once you put that 3 in the equation it turns into a complex number bc its more than just the imaginary now
Power and chain rule (where the power rule kicks in because ):
Simplify the leading term as
Quotient rule:
Chain rule:
Put everything together and simplify: