Answer:
The required probability is 4/7.
Step-by-step explanation:
The sample space for the experiment is: { BB, BR, RB, RR }
The outcome of the event we require is: { BR, RB }
The probabilities for each outcome is given as:
BB: 3/7 x 2/6 = 1/7
BR: 3/7 x 4/6 = 2/7
RB: 4/7 x 3/6 = 2/7
RR: 4/7 x 3/6 = 2/7
Adding the probabilities we have:
{ BR, RB} = 2/7 + 2/7 = 4/7
That's it!
Answer:
y=3
Step-by-step explanation:
Let's solve your equation step-by-step.
5y−3y+1=7
Step 1: Simplify both sides of the equation.
5y−3y+1=7
5y+−3y+1=7
(5y+−3y)+(1)=7(Combine Like Terms)
2y+1=7
2y+1=7
Step 2: Subtract 1 from both sides.
2y+1−1=7−1
2y=6
Step 3: Divide both sides by 2.
2y
/2
=
6
/2
y=3
First, let's find the slope of the line using the slope formula, which is:

((
,
) and (
,
) are points on the line)
In context of this problem, we can use the formula to find the slope of the line between the two points:

Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is
where (
,
) is a point on the line)
In the context of the problem, we could use the formula to find the equation of the line:



The equation of the line is y = -x + 5.
Answer:
The answer is B.
Step-by-step explanation:
When you reflect (2,5) over the x axis, you get (2,-5).
Answer:
(x +5)
Step-by-step explanation:
The problem statement is telling you that one factor of (x⁴ +5x³ -3x -15) is (x³ -3). It is asking for the other factor. Clearly, you can find the other factor by dividing the polynomial by the given factor.
That is ...
(x⁴ +5x³ -3x -15) / (x³ -3) = (x +5)
so ...
(x⁴ +5x³ -3x -15) / (x +5) = (x³ -3)
The divisor of interest is (x +5).