Sas, sss, aas, or not enough information
2 answers:
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Answer:
77.4% probability that a data value is between 36 and 41
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the probability that a data value is between 36 and 41?
This is the pvalue of Z when X = 41 subtracted by the pvalue of Z when X = 36.
X = 41
has a pvalue of 0.933
X = 36
has a pvalue of 0.159
0.933 - 0.159 = 0.774
77.4% probability that a data value is between 36 and 41
Answer: THE GRAPH IS ATTACHED.
Step-by-step explanation:
The Slope-Intercept form of the equation of a line is:
Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you have the first equation:
You can identify that:
If you convert the Mixed number to a Decimal number, you get:
Then, knowing the slope and the y-intercept, you can graph the line.
The second equation is:
Solve for "y":
Knowing that:
You can graph the line.
The point of intersection between both lines, is the solution of the system. This is:
Observe the graph attached.
