I believe it's always a parallelogram??
Answer:
-5
Step-by-step explanation:
dₙ = -5 (1/2)n-1
the 3rd term in the sequence means n = 3
d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5
Answer: 30.8%
Step-by-step explanation:
Given
Total students receiving financial aid are 6101
Students who are graduate and receiving financial aid are 1879
Probability is the ratio of the favorable and total outcomes
So, the probability is given by
The answer is B. 120
nCr = n! / ((r! * (n - r)!)
n = 10
r = 3
10C3 = 10! / ((3! * (10 - 3)!)
= 10! / ((3! * 7!)
= (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
= 3628800 / 30240
= 120
Answer:
The first piece is 12 feet long, the second is 9 feet long, and the third is 4 feet long.
Step-by-step explanation:
The original rope is 25 feet in length. Two pieces are dependant on the value of , so we must first find that. The equation for the length of rope is:
The terms with can be combined:
Now, take 4 from both sides:
And divide by 7:
Now we just use the value found for to find the lengths of the rope:
To check the answer, we can make sure the three lengths sum to 25 feet:
Which it does. So the three lengths are 12 feet, 9 feet and 4 feet.