Answer:
Explained below.
Step-by-step explanation:
Denote the events as follows:
<em>C</em> = chess
<em>V</em> = volleyball
<em>B</em> = basketball
The data provided is as follows:
n (C) = 30
n (V) = 19
n (B) = 25
n (C ∩ V) = 14
n (B ∩ V) = 8
n (B ∩ C) = 15
n (C ∩ V ∩ B) = 5
Consider the Venn diagram below.
The number of students who played only chess is marked in pink:
n (Only C) = 6
The number of students who played only volleyball is marked in blue:
n (Only V) = 2
The number of students who played only basketball is marked in orange:
n (Only B) = 7
The number of students who played all three is marked in grey:
n (C ∩ V ∩ B) = 5
Fill in the blank with equation.
An equation is nearly the same thing as an expression. However, the dofference is that equations have an = sign while expression do not.
Convert to slope intercept form to find the slope of the given line:-
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2 The slope = 2/3
Now we find the required equation using the point-slope form
y - y1 = m(x - x1)
m = slope = 2/3 and (x1. y1) = (9, -3):-
y - (-3) = 2/3 (x - 9)
y = 2/3x - 6 - 3
y = 2/3x - 9
In standard form this is
2x - 3y = 27 answer
Hope this helps.
The range would be [8, 3]
In order to find the range, simply plug each end of the domain into the equation.
f(x) = -x + 5
f(-3) = -(-3) + 5
f(-3) = 3 + 5
f(-3) = 8
Then the other side
f(x) = -x + 5
f(2) = -2 + 5
f(2) = 3
Answer:
9
Step-by-step explanation:
Question:
Minimum number of balls to ensure there is at least one ball of each colour marked with each number.
The quantity of <u>distinct</u> numbers are:
red: 4
Yellow 3
Blue 2
So the minimum number of balls to satisfy the given requirements is
4+3+2= 9
