The answer is that it's a right triangle. One angle is 90°
Answer:
Probability distribution
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Step-by-step explanation:
When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are
Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}
The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:
X Outcomes P(X)
0 HHH 1/8
1 HHT,THH,HTH 3/8
2 TTH,HTT,THT 3/8
3 TTT 1/8
The probability distribution of X is as under:
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Answer:
The answer would be A, 
Step-by-step explanation:
Remember,
≠
,
=
.
a =
= 
a = 
a = 
is negative
=
, so
is negative
Answer:
(Since polinomial functions are continuous)
(As this quadratic function has an absolute minimum, represented by its vertex)
Step-by-step explanation:
Graphically speaking, quadratic functions are represented by parabolas. In this case, we have a parabola in factorized form. From Theory of Functions, we get that domains of function represents the set of values of
so that exist an image, whose set is known as range is represented by values of
.
is represented by horizontal axis in the figure, whereas
is represented by the vertical axis. By using this approach we get that domain and range of the function are, respectively:
(Since polinomial functions are continuous)
(As this quadratic function has an absolute minimum, represented by its vertex)