Answer:
Step-by-step explanation:
The prices he received quotes for are as follows: $663, $273, $410, $622, $174, $374
To begin, we will find the average.
Average = total of data points/ number of data points.
Total of data points =
663 + 273 + 410 + 622 + 174 + 374
= 2516
Total count = 6
Average = 2516/6 = 419.33
Standard deviation = √summation(x - m)^2/n
summation(x - m)^2/n = (663 - 419.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2
= 179417.9334/6 = 29902.9889
Standard deviation = √29902.9889
= 172.9
Response:
2/9 = 0.22
Clarification:
There are two ways to select the first number that is odd and less than 5: 1 and 3.
For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.
Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:
4/18 = 2/9 = 0.22
Solution:
There are 4 ways.
Detailed explanation:
Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).
- She can distribute 5 tootsie rolls to each brother.
- She can provide 3 twizzlers to each brother.
- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).
- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).
I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.