Answer:

Step-by-step explanation:
P(tail) = 
P(2) = 
P(tail and 2 ) =
×
= 
Answer: y=(-3x+7)/2
Isolate y.
2y= -3x+7
y= (-3+7)/2
Answer: x=(-2y+7)/3
Isolate x
3x=-2y+7
x=(-2y+7)/3
Answer: 6x+4y=14
Idk if that counts but multiply the whole equation by 2.
Answer:
x = -1 or 2
Step-by-step explanation:
Taking the antilog, you have the quadratic ...
x^2 -x -1 = 1
x^2 -x -2 = 0 . . . . subtract 1
(x -2)(x +1) = 0 . . . factor
The values of x that make these factors zero are the solutions to the equation.
x = 2 or x = -1
Answer:
150 different committees can be formed
Step-by-step explanation:
We have 6 boys and 5 girls and we want to select 5 members
Out of these 5 members, two boys are selected
Since two boys are selected, we are left with three girls
So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls
Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;
nCr = n!/(n-r)!r!
With this, we have;
6C2 * 5C3
= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed