Procedure:
1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)
Solution
1) the number of teams of four members that can be formed are:
10*9*8*7 / (4*3*2*1) = 210
2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls
Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6
Number of different teams with 2 boys and 2 girls = 15 * 6 = 90
3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:
90/210 = 3/7
Approximately $307.73 is the total amount of interest earned for 5 years at an annual interest rate of 4.5%, with an initial investment of $1,250.
Step-by-step explanation:
Simplify the left side:
5x - 20 = 3x + 4
Move all terms containing x to the left side of the equation:
2x - 20 = 4
Move all terms not containing x to the right side of the equation:
2x = 24
Divide each term by 2 and simplify:
x = 12
The wood is 10 inches and you're cutting it into 1/2 pieces, so divide 10 by 1/2, which is 20, The carpenter can cut 20 dowels.
Answer:
A) X + Y = 12
B) 10Y + x = 10x + Y -18
B) 9Y = 9x -18 multiplying A) by -9
A) -9Y = 9x - 72 adding A and B we get
0 = 18x -90
x = 5
The number is 75
Double-Check
7 + 5 = 12
75 -57 = 18
Step-by-step explanation:
