Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
A. one bc the answer a is only one letter
There is not relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
Answer: Option A.
<u>Explanation:</u>
A scatterplot is a type of data display that shows the relationship between two variables. It makes use of the Cartesian coordinates to plot the values of the two variables for a set of data. This is used to show how much is one variable is affected by the other variable.
Since in the scatterplot which is being talked about in this question, it is scattered and is not clustered, this shows that there is no relationship between the size of the school and the number of the students who play instruments in the school.
Answer:
1.5 hours
I traveled farther
2 miles
Step-by-step explanation:
My speed
Speed of my friend
Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let be the time taken to meet
So, we meet each other after 1.5 hours.
Distance traveled by me
Distance traveled by my friend
