Answer:
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We are told that
x
is the set of numbers such that the distance
Either +(x-4) = 8 -> x=12#
Or -(x-4) = 8 -> x=-4#
Hence,setx = { =4,12 }
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :

Now, it is given that his goal is minimum of 50 countries.
So,

Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Step-by-step explanation:
Data provided
represent the sample mean for the chloride concentration
population mean (variable of interest)
s=0.0012 represent the sample standard deviation
n=15 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
Since we need to find the critical value first we need to begin finding the degreed of freedom
The Confidence is 0.95 or 95%, the significance would be
and
, and the critical value for this case with a t distribution with 14 degrees of freedom is
And the confidence interval is:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Complete Question
Kelvin finished 2/3 of his test in a 1/2 hour. Express this rate in hours per test.
Answer:
3/4 hours per test
Step-by-step explanation:
2/3 of his test = 1/2 hour
This rate in hours per test is calculated as:
x = 1/2 /2/3
x = 1/2 hour ÷ 2/3 test
x = 1/2 × 3/2
x = 3/4 hours per test
This rate in hours per test is given as 3/4 hours per test