Answer:
a. 720
b. 0.3
Step-by-step explanation:
a.
Three balls are selected at random without replacement.
First ball can be selected in 10 ways
Second ball can be selected in 9 ways
Third ball can be selected in 8 ways
Thus, there are 10×9×8 =720 different ways of selecting three balls.
b.
There are three cases that satisfy this condition
- first ball picked is 5, the others are not
- first ball is not 5, second is 5, third is not
- first and second ball is not five, third ball is 5
Each probabilities are:
![\frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2A%20%5Cfrac%7B9%7D%7B9%7D%20%2A%5Cfrac%7B8%7D%7B8%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
![\frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20%2A%5Cfrac%7B1%7D%7B9%7D%20%2A%5Cfrac%7B8%7D%7B8%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
![\frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20%2A%5Cfrac%7B8%7D%7B9%7D%20%2A%5Cfrac%7B1%7D%7B8%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
Thus, one of the balls selected is the number 5 is then ![\frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
Answer:
The sum of a number, which I have named 'n', and 7 can be written as the expression:
n+7
remember the word 'is' in a written problem indicates where you'll most likely use an =,≥,≤ sign. Since they say that it is 'no more than' we know that n+7 is less than or equal to the given number, so we use '≤'.
n+7≤ 1
Step-by-step explanation:
Answer:
The square root of 196 is 14
Step-by-step explanation:
Prime factorization of 196:
Prime factors of 196 in pairs:
Now square root of 196:
- √196 = √(2 × 2) × (7 × 7)
- √196 = √(2 × 7)²
- √196 = (2 × 7)
- = 14
Thus, The square root of 196 is 14
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
Parallelogram
Step-by-step explanation:
Hope this helps! Please leave any questions or concerns in the comments, byeee <3
Answer:not sure but i think 10 *25)/20 * 16 - 10
Step-by-step explanation: i think u use ax+by =f(x^2)