Answer: The required probability is 
Step-by-step explanation: Given that an urn contains 6 red marbles and 4 black marbles. Two marbles are randomly drawn one by one from the urn without replacement.
We are to find the probability that both drawn marbles are black.
Let E and F denote the events of two marbles one by one without replacement and let S and S' denote the corresponding sample spaces.
Then, we have
Therefore, the probability that both marbles are red is given by
Thus, the required probability is
Answer:
The y-intercept is 15, which means the ordered pair is (0, 15), and the x-intercept is -10, which means the ordered pair is (-10, 0)
Step-by-step explanation:
To find the y-intercept it is quite easy. Since this is written in slope-intercept form, we can see the y intercept as the constant at the end of the equation.
The x-intercept can be found by inputting 0 for y and then solving for x.
y = 3/2x + 15
0 = 3/2x + 15
-15 = 3/2x
-10 = x
<h3>
Answer: 64 cm^2</h3>
Reason:
The parallelogram has area of A = base*height = 10*7 = 70 cm^2
The white rectangle has area of B = base*height = 3*2 = 6 cm^2
The shaded region has area of A - B = 70 - 6 = 64 cm^2
If you are curious why the rectangle and parallelogram use the same formula to get the area, notice how you can move that triangle on the left toward the right side so that a rectangle can be formed.
Answer:
1 and 2
Step-by-step explanation:
#3 is correct at 120.4
#4 is 15/8...because 3/4+3/4=6/4 (for 20 doors) plus 3/8 (which is half of 3/4 for 5 more doors) equals 15/8 gallons or 1.875 gallons
#5 is $812.50 because if 50 shares cost $125, 325 shares (125×6.5) equals 812.50
