In five towns in the state of Idaho, a new recycling policy started. A sample of 5,000 homes found that 0.56 put out a recycling bin each week. Using a 95% confidence level, what is the estimate of the population proportion that recycles?
-between 55.65% and 56.69%
-between 54.97% and 57.03%
-between 54.65% and 56.35%
-between 55.31% and 56.35%

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step-by-step explanation:

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.