What is the area of the trapiziod
2 answers:
You might be interested in
Answer:
a) S = {1, 2, 3}
b) P(odd number) =
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) =
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = Prob(1) + Prob(3)
= =
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line =
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = ,
x, y = ,
= -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m =
So,
1 = x (-2) + c
c = 1 + =
Now, the equation of the line is;
y = -2x +
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25