Answer:
The sum of the first six terms is
Step-by-step explanation:
Given series is 32-8+2-0.5+...
We may write
Let
Common ratio
Therefore the common ratio is
Therefore given sequence is of the form of Geometric sequence
The nth term of the geometric sequence is
First to find the 5th and 6th term
That is substitute n=5 and n=6 ,a=32 and in above equation we get
Therefore
Therefore
Therefore the sum of the first six terms is
Therefore the sum of the first six terms is
Answer:
<em>Bert is 11 years old and Max is 17 years old.</em>
Step-by-step explanation:
<u>System of Equations</u>
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
Answer:
midpoint is (-1,4.5)
Step-by-step explanation:
Use the midpoint formula:
x coordinate of midpoint equals [(-4) + (2)]/2 = -1
y coordinate of midpoint equals [(4) + (5)]/2 = 4.5
164.38 = (1 x 100) + (6 x 10) + (4 x 1) + (3/10) + (8/100)
The margin of sampling error is obtained by multiplying the standard error with the critical value.
<h3>What is the margin of sampling error?</h3>
The margin of sampling error is a statistic that tells a researcher by how many percentage points the result gotten from the sample value would differ from that of the population. This value is obtained by multiplying the standard error with the critical value.
To learn more about margin of sampling error, please check: brainly.com/question/20733951
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