Answer:
Step-by-step explanation:
Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.
The probability to select red marble is 
Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.
The probability to select red marble is 
Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.
The probability to select red marble is 
The probability to choose each urn is the same and is equal to 
Thus, the probability that the marble is red is
Answer:
(k+10f) (k-5f)
Step-by-step explanation:
k^2+5kf-50f^2
What 2 numbers multiply to -50 and add to +5
10 *-5 = -50
10+-5 = 5
(k+10f) (k-5f)
The surface area of a sphere of radius r is A = 4π*r^3.
Since the radius in this case is 7 cm (half the 14 cm diameter), the area of this sphere is
A = 4π(7 cm)^2, or 196π cm^2.
The easiest way to do this is to break it down and translate it before solving. Start with twice a number, if you use n to represent eh number, you will have 2n. Then, add the 'less than' part. 'Five less than' means that five is being subtracted from the next part, which is 2n. Now you have 2n - 5. The last translation is simple, 'equal to 57' will complete the equation as 2n - 5 = 57.
If you want to solve the equation, use the Order of Operations.
2n - 5 = 57 Add 5 to both sides
2n = 62 Divide both sides by 2
n = 31
