3. a newspaper in a large city asked 500 women the following: "do you use organic food products (such as milk, meats, vegetables, "
280 women answered "yes." compute the margin of error. interpret the resulting interval in context.

Margin of error = 0.0444

The resulting interval =  0.5156 to 0.6044

Step-by-step explanation:

Data provided in the question:

Sample size, n = 500

Number of women answer yes = 280

Probability of women answering yes, p = 280 ÷ 500

= 0.56

Now,

Margin of error is given as:

E =

on substituting the respective values, we get

E =

or

E = 2 × 0.0222

or

E = 0.0444

And,

The resulting interval

= p ± E

= 0.56 ±  0.0444

= 0.5156 to 0.6044

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