Answer:
Step-by-step explanation:
<u>Answer:
</u>
Required expression for one-eight of the sum of a number and three is 
<u>Solution:
</u>
Given that unknown value is represented by variable x.
Need to create algebraic expression for One-eight of the sum of a number and three.
Let’s first find one eight of the number that is 1/8th of x = 
Now on adding three we get

Hence required expression for one-eight of the sum of a number and three is 
Answer:
The description again for the problem is listed throughout the section below on explanations.
Step-by-step explanation:
A 2012 survey conducted a week since Voting day because the local paper in Columbus asked voters whatever individual they might vote for the state attorney. 37% of respondents said that they'd vote for both the dem candidate. In reality, 41 percent voted for both the Democratic nominee on Elections Day.
The 37% is supported by a survey as well as being a factual estimate. The sample proportion is denoted by "P". Therefore,
⇒ P = 0.37
The specific proportion becomes supplied as a factor of 41% = 0.41. Since the importance of proportion is real. The proportion of community is represented as p or π
Hence p = 0.41.
Answer:
The width is 
Step-by-step explanation:
From the question we are told that
The population standard deviation is 
The sample size is 
The sample mean is 
Given that the confidence level is 99% then the level of significance is mathematically represented as

=> 
=> 
Next we obtain the critical value of
from the normal distribution table, the value is

Generally margin of error is mathematically represented as

substituting values



The width of the 99% confidence interval is mathematically evaluated as

substituting values


So x and y
sum means add
difference means subtract
so we have
x+y=55 times (x-y)
use distributiver property which is
a(b-c)=ab-ac so
distribute 55(x-y)
55(x-y)=55x-55y
so we have
x+y=55x-55y
add 55y to boh sides
x+56y=55x
subtract x from both sides
56y=54x
divide both sides by 2
28y=27x
to find the ratio, switch the numbers around
ratio of y:x=27:28
therefor x is the greater number
ratio of larger to smaler is
28:27