Answer:
5/18
Step-by-step explanation:
There are 36 possible outcomes
There are 6 with a 2 as the first roll
There are 4 with a sum of 9
P( sum is 9 or that the first number is a 2)
= sum is 9 or that the first number is a 2/total
( 6+4) / 36
=10/36
=5/18
Answer: ![a=10](https://tex.z-dn.net/?f=a%3D10)
Step-by-step explanation:
1. You have the following equation given in the problem above:
![\frac{a}{10}-\frac{1}{2}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B10%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D)
2. You must add 1/2 to both side of the equation, then:
![\frac{a}{10}-\frac{1}{2}+\frac{1}{2}=\frac{1}{2}+\frac{1}{2}\\\frac{a}{10}=1](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B10%7D-%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%5C%5C%5Cfrac%7Ba%7D%7B10%7D%3D1)
3. Now, you must multiply each side of the equation given by 10, therefore, you obtain the following result:
![\frac{a}{10}*10=1*10\\a=10](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B10%7D%2A10%3D1%2A10%5C%5Ca%3D10)
Answer:
120 different ways
Step-by-step explanation:
The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.
1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.
5P5 = 5! / (5 - 5)!
5P5 = 5! / 0!
Zero factorial (0!) is always 1.
So, 5P5 = 5! / 1
5! = 5 × 4 × 3 × 2 × 1
5! = 120
Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.
Answer: that is the answer to both
Step-by-step explanation:
No, it's not.
15/28 equals to (about) 0.54 while 25/45 is (about) 0.56.
They are close, but not equivalent.<span />