400 Imperial pints are less than 100 Imperial gallons,
400 pints = 50 gallons.
228.5 I believe. 14/49 is 3.5. 18+7 is 25x9 is 225. 225+3.5 would be 228.5
Theoretical probability is what, theoretically, the probability <em>should </em>be, regardless of data. Because there are only two options, the probability for getting heads on each toss should be 50%. For the total thirty tosses, theoretically, the coin <em>should</em> land on heads fifteen times, or five per trial, which is determined solely on the number of options.
Experimental probability is what the probability was based on the given data. In the first trial, head was scored 5 times, or 5/10, or 50%. This was repeated in the second and third trials. So, based purely <em>on the data,</em> the probability of the coin landing on heads was also 50%.
I hope this helps!
~Chrys
Answer:
One possible equation is 
, which is equivalent to 
.
Step-by-step explanation:
The factor theorem states that if 
(where 
is a constant) is a root of a function, 
would be a factor of that function.
The question states that 
and 
are 
-intercepts of this function. In other words, 
and 
would both set the value of this quadratic function to 
. Thus, 
and 
would be two roots of this function.
By the factor theorem, 
and 
would be two factors of this function.
Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant 
(
):
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with 
:
, or equivalently,
.
