Answer:![\frac{17}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B35%7D)
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is ![^6C_1\times^5C_1+^9C_1\times^8C_1](https://tex.z-dn.net/?f=%5E6C_1%5Ctimes%5E5C_1%2B%5E9C_1%5Ctimes%5E8C_1)
The total no of ways of selecting two sweets out of 15 is ![^{15}C_1\times^{14}C_1](https://tex.z-dn.net/?f=%5E%7B15%7DC_1%5Ctimes%5E%7B14%7DC_1)
The probability that both sweets are the same flavor
![P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B%5E6C_1%5Ctimes%5E5C_1%2B%5E9C_1%5Ctimes%5E8C_1%7D%7B%5E%7B15%7DC_1%5Ctimes%5E%7B14%7DC_1%7D%3D%5Cfrac%7B102%7D%7B210%7D%3D%5Cfrac%7B51%7D%7B105%7D%3D%5Cfrac%7B17%7D%7B35%7D)
Answer: 7
Step-by-step explanation: im pretty sure its seven
Answer: 113.1
Step-by-step explanation:
Diameter = 12
We must find the radius. To do so, we divide the diameter by 2.
Radius = 6
Formula for finding the area of a circle: πr²
π = 3.14159265359
3.14159265359 × 6²
6 × 6 = 36
3.14159265359 × 36 = 113.097335529
Rounded to the nearest tenth = 113.1
Answer: D. ![\dfrac5{12}](https://tex.z-dn.net/?f=%5Cdfrac5%7B12%7D)
Step-by-step explanation:
Fraction of granola bar Owen ate = ![\dfrac13](https://tex.z-dn.net/?f=%5Cdfrac13)
Fraction of bar Bella ate = ![\dfrac14](https://tex.z-dn.net/?f=%5Cdfrac14)
Whole bar is considered as 1.
Part of bar left uneaten = ![1-\dfrac13-\dfrac14=\dfrac{12-4-3}{12}](https://tex.z-dn.net/?f=1-%5Cdfrac13-%5Cdfrac14%3D%5Cdfrac%7B12-4-3%7D%7B12%7D)
![=\dfrac{5}{12}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B5%7D%7B12%7D)
Owen and Bella left
of the bar uneaten.
Hence, the correct option is D. ![\dfrac5{12}](https://tex.z-dn.net/?f=%5Cdfrac5%7B12%7D)