Step-by-step answer:
Use conditional probability.
P(A|B) = P(A intersect B) / P(B)
= probability of A given B is true (or has happened)
Here,
A = athelete, P(A) = 10/40
B = honours student, P(B) = 11/40,
P(~B) = 1-11/40 = 29/40
Of the 10 atheletes, 3 are also honours students.
Therefore there are 7 atheletes who are NOT honours students.
P(A and ~B) = 7/40
Therefore
P(A|B) = P(A and ~B) / P(~B)
= (7/40) / (29/40)
= 7/29
Answer:
y= x + 13
Step-by-step explanation:
Since the line is perpendicular, it means that our line would have the reciprocal of the slope given. In this case, slope of 1.(and 1/1 doesn't make any difference)
Hence, let's lay out the equation of a line:
y=mx+b where m is the slope, b is the y-intercept and x and y coordinates.
Let's plug everything we have in the equation and find b.
7= 1(-6) + b
7= -6 + b
7+6 = b (adding 6 both sides)
13= b
Hence, the equation is y= x + 13
Hope this helps!
There’s no picture so no one will be able to help you sorry :(
Answer:
The "x" value is 7
Step-by-step explanation:
If the shape in the image is a rhombus then we know that GI is consisted of two KI's. So now we can write the following equation....
GI = (2)(KI)
23x - 33 = (2)(6x + 22)
23x - 33 = 12x + 44
23x = 12x + 77
11x = 77
x = 7
Assuming you meant the slope-intercept form of course,