Ireland owes her dad $100. She plans on paying him $20 per week until it is paid off.
1 answer:
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Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
Difference:
Confidence interval:
In which z is the zscore that has a pvalue of , with
being 1 subtracted by the confidence level.
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:
Upper bound of the interval:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Answer:
x=2
Step-by-step explanation:
The axis of symmetry can be calculated using the following formula:
In order to use this formula, we need to have the function written in it's polynomial formula:
In order to do so, we have to isolate Y from the excercise's formula.
Then we resolve the square of the binomial knowing that (a+b)^2=a^2+2.a.b+b^2
Now we have that:
As we have now the polynomyal formula, we know that a=-2, b=8 and c=-13. We supplant on the formula and get: