Answer:
b) 7 : 3
That is the odds of the event happening is 70 percent and not happening is 30 percent.
Step-by-step explanation:
<u>Probability</u>:-
In a random experiment, let there be n mutually exclusive and equally likely elementary events. Let E be an event of the experiment. If m is the favorable events ( that is happening event) and n be the exhaustive events (total no of cases) then the probability is defined as
P(E) =
non - happening is q
the total probability is equal to one that is
(p +q =1)
given data the event happening is 70 percentage and non - happening is remaining 30 percentage.
p = 70 and q =30
the odds of the event happening in ratio is 70:30
that is 7:3
Given:
The graph of line.
To find:
The gradient of the line using rise/run method.
Solution:
We know that the gradient of a line is also known as slope.
Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.
Now,
The gradient of the line is .
Therefore, the correct option is C.
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer