Answer:
p=0.25
Step-by-step explanation:
Given that a club can select one member to attend a conference. All of the club officers want to attend. There are a total of four officers, and their designated positions within the club are President (P), Vice dash President (Upper V )comma Secretary (Upper S )comma nbspand Treasurer (Upper T ).
Sample space would be
a){ {P}, {V}, {S} {T}} is the sample space with notations standing for as given in the question
b) Each sample is equally likely. Hence we have equal chances for selecting any one out of the four.
If probability of selecting a particular sample of size I is p, the by total probability axiom we have
\begin{gathered}4p =1\\p =0.25\end{gathered}
4p=1
Answer:
The pressure is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form 
or 
In this problem we have
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For 
,
step 1
Find the value of k
substitute the values of V and P
The equation is equal to 
step 2
Find the pressure when the volume is 125 cubic inches
For 
substitute in the equation and solve for P
Answer:
22
Step-by-step explanation:
198 = 2×3²×11
For 198n to be a perfect square, each prime factor must have an even exponent. So the smallest 198n would be:
198n = 2²×3²×11²
198n = 4356
n = 22
