Answer:
The correct option is (D).
Step-by-step explanation:
To construct the (1 - <em>α</em>)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.
A Normal approximation to binomial can be applied to approximate the distribution of proportion <em>p</em>, if the following conditions are satisfied:
In this case <em>p</em> is defined as the proportions of students who ride a bike to campus.
A sample of <em>n</em> = 125 students are selected. Of these 125 students <em>X</em> = 6 ride a bike to campus.
Compute the sample proportion as follows:

Check whether the conditions of Normal approximation are satisfied:

Since
, the Normal approximation to Binomial cannot be applied.
Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.
Thus, the correct option is (D).
Step-by-step explanation:
![f(x) = \sqrt[3]{x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D)
The domain of a function are the values of
that you can plug into the function
.
Values inside of a root must be non-negative, which means that
must be greater than or equal to zero. We can set up an equation to find the domain:


With this, we know the domain of the function is
.
The range of a function are the values that
can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is
.
Answer:
arc ? = 255°
Step-by-step explanation:
arc DB = 180° - 75° = 105°
arc ? = 360° - 105° = 255°