Answer:
If a and b are two events such that:
b⊂a
Then it is obvious that p(b)≤p(a)
where p denotes the probability of an event.
<em>" Because as one event is contained in the other that means it has possibility to contain more favourable outcomes than the other while the probability of both the events is calculated by taking the total number of outcomes to be equal "</em>
Let us consider an <u>example</u> as:
We roll a die;
so the total outcomes are: {1,2,3,4,5,6}.
Now let b denotes the event that the number is an even number less than 5.
Number of favourable outcomes( {2,4} )=2
p(b)= 2/6
let a denotes that the number is less than 5.
Then Number of favourable outcomes( {1,2,3,4} )=4
p(a)=4/6
clearly b⊂a
also we could see that p(b)<p(a)
Answer:
95%
Step-by-step explanation:
%Change from 800 to 40 = %Decrease
%Decrease = Old Value - New Value/Old Value × 100%
%Decrease = 800-40/800 × 100%
%Decrease = 760/800 × 100%
% Decrease = 95%(Answer)
Answer:
11
Step-by-step explanation:
Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.
Using a point on the line, (4, 44),
Constant of proportionality, k =
.
Constant of proportionality of the graph is 11.
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
Any time you multiply/divide both sides with a negative the inequality will be reversed!
Answer:
The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the equation of a line
y = 2x + 4
comparing with the slope-intercept form of the line equation
The slope of the line AB is m = 2
We know that the parallel lines have the same slope.
Thus, the slope of the new line is also 2.
now we have,
- The slope of new line m = 2
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (x₁, y₁) = (3, -2)

y - (-2) = 2(x - 3)
y + 2 = 2x - 6
subtracting 2 from both sides
y + 2 - 2 = 2x - 6 - 2
y = 2x- 8
Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is: