The total number of students who studied only two subjects is 13.
The given parameters:
- <em>Total number of students, n = 55 </em>
- <em>Number of physics students = 21</em>
- <em>Number of geography students = 24</em>
- <em>Number of economics students = 23</em>
- <em>Number of students for the 3 subjects, = x</em>
- <em>Number of students who studied non = 2x</em>
The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: brainly.com/question/2041029
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The left column of the table is domain + add the element 5
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Answer:
The z-score for this kernel is -2.3
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The popping-times of the kernels in a certain brand of microwave
popcorn are normally distributed
- The mean is 150 seconds
- The standard deviation is 10 seconds
- The first kernel pops is 127 seconds
- We want to find the z-score for this kernel
∵ z-score = (x - μ)/σ
∵ x = 127
∵ μ = 150
∵ σ = 10
∴ z-score = (127 - 150)/10 = -23/10 = -2.3
* The z-score for this kernel is -2.3