Answer:
B. 1 out of 5,005
Step-by-step explanation:
Given
Number of Friends = 15
Required
Probability of selecting 6 friends
The first step is to calculate the number of ways 6 friends can be selected
The keyword in the above statement is selection;
This implies combination;
The number of ways is calculated as follows;
![\left[\begin{array}{c}n&r&\end{array}\right] = \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dn%26r%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
Where n = 15 and r = 6
becomes
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15!}{(15-6)!6!}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%266%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cfrac%7B15%21%7D%7B%2815-6%29%216%21%7D)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15!}{9!6!}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%266%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cfrac%7B15%21%7D%7B9%216%21%7D)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15 * 14 * 13 * 12 * 11 *10 * 9!}{9! *6 * 5 * 4 * 3 * 2 * 1}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%266%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cfrac%7B15%20%2A%2014%20%2A%2013%20%2A%2012%20%2A%2011%20%2A10%20%2A%209%21%7D%7B9%21%20%2A6%20%2A%205%20%2A%204%20%2A%203%20%2A%202%20%2A%201%7D)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15 * 14 * 13 * 12 * 11 *10}{6 * 5 * 4 * 3 * 2 * 1}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%266%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cfrac%7B15%20%2A%2014%20%2A%2013%20%2A%2012%20%2A%2011%20%2A10%7D%7B6%20%2A%205%20%2A%204%20%2A%203%20%2A%202%20%2A%201%7D)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{3603600}{720}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%266%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cfrac%7B3603600%7D%7B720%7D)
![\left[\begin{array}{c}15&6&\end{array}\right] =5005](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%266%26%5Cend%7Barray%7D%5Cright%5D%20%3D5005)
Hence, there are 5005 ways of selecting 6 from 15 friends
Since, there's only one way of selecting the 6 named friends
Then, the probability is 1 out of 5,005
Answer:
A
Step-by-step explanation:
You need to find the slope in A. y = x + (4x - 1) = 5x -1. The slope is 5.
In B, as x increases 1 unit, y increases 1 unit. Therefore, the rate of change is 1/1 = 1
Conclusion: In A the rate of change is 5 and in B the rate of change is 1.
Therefore, A has a greater rate of change
9514 1404 393
Answer:
10%
Step-by-step explanation:
The percentage is found by multiplying the fraction by 100%.
savings/budget = 250/2500 × 100% = 10%
Evelyn has allocated 10% of her budget to savings.
0.20*20=$4.00
20+4=$24.00
So you earn 24 dollars each hour
Day Up Down Deep at the end of the day
1 5 2 50 - 3 = 47
2 5 2 50 - 6 = 44
3 50 - 9 = 41
4 50 - 12= 38
...
15 50 - 15*3 = 5
16 5 5 - 5 = 0 ´this day it leaves when goes up 5 feet and so does not go down the 2 feet
The snail will leave on the day 16th
