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1 answer:
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Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is of:
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
Margin of error:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Answer:
The differential equation will be like the one shown below
Step-by-step explanation:
Data:
Let the equation be given as:
y(4) + 8y' = 6
The equation will be expressed linearly as follows:
y(4) + 8
This is the linear form of the differential equation.
Answer:
It took 1.2 hours to get to the store
Step-by-step explanation:
Let the time taken to reach the store be t₁
Let the time taken to come back be t₂
Let the speed to and from store = s₁ and s₂ respectively
let the distance to the store = d
To the store:
Back from the store:
We are told that total time (t₁ + t₂) = 2 hours
t₁ + t₂ = eqn (1) + eqn (2)
∴ length of trip to the store = t₁
from eqn (1)