In an experiment using 30 mice, the sample proportion of the mice that gained weight after a drug injection is 0.65. what is the 99.7% confidence interval for the actual proportion in the population?
a: between 0.602 and 0.697
b: between 0.563 and 0.737
c: between 0.476 and 0.824
d: between 0.389 and 0.911

The correct option is d.

Step-by-step explanation:

The formula for confidence interval for the actual proportion in the population is

Where, p is population proportion, n is sample size and z* is the tabulated value of z at given confidence interval.

The value of z* is 3 for 99.7% confidence interval.

Therefore the 99.7% confidence interval for the actual proportion in the population is between 0.389 and 0.911. Option d is correct.

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

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