First we will find the 11th term
an = a1 + (n-1) * d
a11 = 12 + (11 - 1) * 5
a11 = 12 + 10 * 5
a11 = 12 + 50
a11 = 62
now we use the sum formula...
Sn = (n (a1 + an)) / 2
S11 = (11 (12 + 62)) / 2
S11 = (11 (74)) / 2
S11 = 814/2
S11 = 407
The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, 


The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.


Expand 


Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
brainly.com/question/24756209
#SPJ4
Answer:
Hello there the Correct answer The only answer choice that produces -2x²+2 is D.
Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2
answer: D
Hope It Helps!
-2a
Step-by-step explanation:
steps:1. first write the question again : 8ab/-4b
2.first 8 divide by -4=-2
3.write ' a' with -2because u don't have another 'a' down belowso that u can pair it up and cancel
so: -2a.
4. cancel 'b' on top and 'b' at the bottom.
Answer:
(n/2)+5
Step-by-step explanation:
With n representing the unknown number, to get half of that number, divide the number by 2. n/2. Then, increase that quotient by 5.
(n/2)+5