What is the value of x in the equation (x + 12) = (x + 14) – 3?
2 answers:
Answer: There is no value of x in the given equation.
Step-by-step explanation: We are given to find the value of x in the equation below:
Finding the value of x in the equation means solving the equation for x.
We have
which can NEVER be true.
So, there is no solution of the given equation.
Thus, there is no value of x in the equation.
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By identifying the radius and the center, we concluded that the equation is something like:
For a circle centered on the point (a, b) with a radius R, the equation is:
So first we need to identify the center, we can see that it is: (2, 1.5)
And the radius is the distance between the center and the edge.
R = 1.8 (measured with a ruler, respecting the notation of the graph).
Then the equation of the circle is something like:
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As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
The <em><u>correct answer</u></em> is:
0.0764
Explanation:
We will use a z-score to answer this. The formula for a z-score is
, where μ is the mean and σ is the standard deviation. Using our information in this problem, we have
Using a z-table, we look up the z-score 1.43. The area under the curve to the left of, or less than, this value is 0.9236. This means the probability that the time is greater than this is 1-0.9236 = 0.0764.