The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number
Here you are given a=10 and r=1/5 so your equation is:
s(n)=10(1-(1/5)^n)/(1-1/5) let's simplify this a bit:
s(n)=10(1-(1/5)^n)/(4/5)
s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:
s(5)=12.5(1-(1/5)^5)
s(5)=12.496
as an improper fraction:
(125/10)(3124/3125)
390500/31240
1775/142
6:$9
Multiply both by 2 (because 12/6=2)
And get 12:$18
3:7
Multiply both by 2 (because 14/7=2)
And get 6:14
6:3
Multiply both by 8 (48/6=8)
And get 48:24
Always label your units. Sorry I’m lazy
Answer:
n = 1
n = - 1
n = - 1/5
n = - 25
Step-by-step explanation:
We are to obtain the value if n in the given equations :
1.)
n - 13 = - 12
To find, n ;
Add 13 to both sides
n - 13 + 13 = - 12 + 13
n = 1
2.)
n/5 = - 1/5
Multiply both sides by 5
n/5 * 5 = - 1/5 * 5
n = - 1
3.)
-5n = 1
Divide both sides by - 5
-5n/-5 = 1/-5
n = - 1/5
4.)
n + 15 = - 10
Subtract 15 from both sides :
n + 15 - 15 = - 10 - 15
n = - 25
Building a probability distribution, it is found that the expected value for both players is of 0.25 points.
- The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, the four possible outcomes, considering Player A - Player B, are:
H - H
T - H
H - T
T - T
That is, considering a success as the number of heads, the distribution is:
For Player A, the earnings of each outcome are: -1, 0 and 2
Hence, the expected value is:
For Player B, the earning of each outcome are: 2, 0 and -1.
Hence:
The expected value for both players is of 0.25 points.
You can learn about expected value at brainly.com/question/24855677
Answer:
There are ways for Sally to select her 12 pieces of taffy.
Step-by-step explanation:
The order that the candies are selected is not important. This means that the number of ways is a combination of 12 pieces from 75 varieties.
Combination Formula:
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
In this problem, we have that:
There are ways for Sally to select her 12 pieces of taffy.