<u>Problem</u>
A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?
<u>Work </u>
Probability = no. of favorable outcomes /total no. of outcomes
Probability of getting a blue marble=5/5+6+9=5/20
Probability of getting a red marble=6/20−1=6/19
5/20×6/19
<u>Answer</u>
3/20
So it is C.
Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒
⇒
⇒
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are
and
.
Then, the factorized form of the polynomial is:
.
The, the solution to the system of equations is:
and
.
Answer:
286.97
Step-by-step explanation:
find the area of the rectangle first
14*15=210
Next
Find the area of a circle
πr^2=a
the radius of the circle is half the height of the rectangle
π*(7*7)=a
a=153.94
Now
Divide the area by two
153.94/2=76.97
Now add the two areas
76.97+210
Not enough Information. I could say 50 and it would work. I could say 68 and it would work. Any even number thats under 80 but higher than what you think her eldest son is.
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band

[recall



or 20(x+5) if you wish.