Point M is the midpoint of segment AB. If AM = 2x + 5 and MB = 5x – 22, find the value of x.
2 answers:
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Answer:
n=206
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=206
The graph is continuous.A viable solution is (10, 50) at the function t = c + 40.
The complete question is given below:-
The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Check all that apply.
<h3>What is a graph?</h3>A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph is continuous.
A viable solution is (10, 50).
t = c + 40
The given equation is
t = c + 40
This equation models the relationship between the temperature and the number of cricket chirps.
Where is the temperature in degrees Fahrenheit and is the number of cricket chirps heard in 14 seconds?
According to the problem, the temperature can be found by counting the number of cricket chirps heard in 14 seconds and then adding 40.
Now, the choices to this question are
The graph is continuous.
All values of t must be positive.
A viable solution is (–2, 38).
A viable solution is (0.5, 40.5).
A viable solution is (10, 50).
The graph of the given equation is attached, it shows the linear relationship between both variables.
Notice that the graph is continuous, it doesn't have any restriction, nor "emptiness" at certain values.
Observe that the remaining choices are all solutions to the equation, but not all of them are viable because the number of cricket chirps must be positive and integer because we can't hear the sound of 0.5 cricket.
Therefore, the last choice is viable (10, 50).
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