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).
Answer:
V₂ = 252 cm³
Step-by-step explanation:
Charles's law = If the pressure is held constant, the volume of a gas varies directly with the temperature measured on the Kelvin scale.
Mathematically, 

We have, V₁ = 192 cm³, T₁ = 112 K, T₂ = 147 cm³, V₂ = ?
Using the above relation of Charles's law :

So, the new temperature is 252 cm³.
Answer:
5
Step-by-step explanation:
Use the exponent rule
Simplifying the top of the fraction
5^2*5*5^3=5^2+1+3=5^6
Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5
Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.
Therefore, the answer is 5.
There were 16 states added.
Tennessee, Ohio, Louisiana, Indiana, Mississippi, Illinois, Alabama, Maine,
Missouri, Arkansas, Michigan, Florida, Texas, Wisconsin, and California