Answer:

Step-by-step explanation:
-Probability is the likelihood of an event occurring.
-The total number of events is:

-The total number of blue events is:

#Probability of a blue is thus calculated as:

Hence, the probability of choosing a blue marble at random is 37.5%
Answer:

Step-by-step explanation:
The coordinates are (-6,0) and (-8,6)
<u><em>Finding slope of the line</em></u>
Slope = 
Slope = 
Slope =
Slope = -3
Parallel lines have equal slopes.
So, the line which is parallel to this line is y = negative 3 x + 3
Answer:
The two roots of the quadratic equation are

Step-by-step explanation:
Original quadratic equation is 
Divide both sides by 9:

Add
to both sides to get rid of the constant on the LHS
==> 
Add
to both sides

This simplifies to

Noting that (a + b)² = a² + 2ab + b²
If we set a = x and b =
we can see that
= 
So

Taking square roots on both sides

So the two roots or solutions of the equation are
and 

So the two roots are

and

I believe the answer is C
We could do it with algebra. But we can also do it the long way, which is
shorter than the algebraic way.
The digit in the tens place is 3 times the digit in the units place.
So the number MUST be
31, or
62, or
93 .
It can't be anything else.
Now here they are again, with the reverse of each one:
31 . . . 13 The new number is 18 less.
62 . . . 26 The new number is 36 less.
93 . . . 39 The new number is 54 less.
Obviously, the original number is 62.