A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.
Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one. By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.
b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1. There are 5 possibilities out of a total of 36, or 5/36.
c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1. There are 6 out of 36, or 6/36=1/6. Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.
d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6
There are 6 ways out of 36, or 6/36 = 1/6. Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
Step-by-step explanation:
A is the correct answer of this question
We first must calculate how many ways 2 oblects can be chosen from 5.
combinations = 5! / 2! * (5-2)!
combinations = 5*4 / 2
combinations = 10
There are 10 ways to choose the 2 buttons and 5 ways to choose the final butto so there are 10 * 5 = 50 different ways.
Source
1728.com/combinat.htm
Answer:
273.38
Step-by-step explanation:
815.70 * 6.2% = 50.57
815.70 * 1.45% = 11.83
815.70 * 19% = 154.95
Add those 3 totals to the additional $56 in federal tax
56+50.57+11.83+154.95 = 273.35
Answer:
Option (3) is correct.
side length of square is (3x + 13 ) units.
Step-by-step explanation:
For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side
Given square has perimeter = 12x + 52
Comparing both sides,
4 × side = 12 x + 52
⇒ Side = 
⇒ Side = 
⇒ Side = 3x + 13
Thus, side length of square is (3x + 13 ) units.
Thus, option (3) is correct.