Answer:
72.3
Step-by-step explanation:
Given that:
The arithmetic sequence:

The first term of the sequence
= 3 since k = 0
i.e (3 + 0.26(0)) = 3
The last term of the sequence
= 6.64
i.e (3+ 0.26(14)
= (3 + 3.64)
= 6.64
Total no of terms = 15 i.e from 0 to 14
∴
The partial sum of the arithmetic sequence = 

= 72.3
Answer:
0.923
Step-by-step explanation:
There are 13 total marbles. (12 Purple Marbles + One Blue Marble)
The total events are 13 and the number of preferred events is 12.
≈ 0.923
So there should be a 0.923 chance that a purple marble is picked.
The way to do this question is : difference of the two sides < x < sum of the two sides. so for 1) 4 < x< 8
2) 8 < x< 16
3) 9 < x < 13
i’m pretty sure this is right! hope it helps!
Answer:
1/8
Step-by-step explanation:
There are 3 + 3 + 6 = 12 marbles in the bag and 12 * 12 = 144 ways to choose two marbles when replacing. There are 3 * 6 = 18 ways to choose a red marble and then a blue marble so the probability is 18 / 144 = 1 / 8.