<em>Answer:</em>
<em>t = 15</em>
<em>Step-by-step explanation:</em>
<em>t - 12 = 3</em>
<em>t = 3 + 12</em>
<em>t = 15</em>
Answer:
C) Uniform distribution
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.
We can calculate the probability.
Uniform probability distribution
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

For this problem, we have that:
Uniformily distributed over a 90 minute interval, that is, between 0 and 90, so
and
.
We want to find 
Answer:
24 dollars per liter
Step-by-step explanation:
Take the number of dollars and divide by the number of liters
60 dollars / 2.5 liters
24 dollars per liter
Answer:
24
Step-by-step explanation:
20 percent of 30 is 6
30-6=24
therefore david has 24 sweets left
A second degree polynomial function has the general form:

, where

.
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where

.
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)

.
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is

Remark: It is also possible to solve the problem by considering the form

directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is