(a) Ayisha scored 18 marks more than what he did in the previous examination in which he scored 30. Amina
scored 30 marks more than she did the previous examination in which she scored 60. Which of the two
girls showed less improvement?
(b) The Venn diagram illustrate the performance of pupils in a test conducted in English and Mathematics
E= {number of pupil who passed English}
M= {number of pupil who passed Mathematics}
U= {Universal set}.
Details of diagram is as followed:
E=38
M ?
Region 1(A only region) ?
Region 2(both A and B ) = 9
Region 3( B only region)?
Region 4 (neither A nor B) =7
i. How many pupil passed mathematics?
ii. How many pupil passed only one subject?
Please explain how to calculate step by step it will help alot . Thanks
Sorry I =70 I forgot to add it.
(b) The Venn diagram illustrate the performance of pupils in a test conducted in English and Mathematics
E= {number of pupil who passed English}
M= {number of pupil who passed Mathematics}
U= {Universal set}.
Details of diagram is as followed:
E=38
M ?
Region 1(A only region) ?
Region 2(both A and B ) = 9
Region 3( B only region)?
Region 4 (neither A nor B) =7
U=70
i. How many pupil passed mathematics?
ii. How many pupil passed only one subject?
Please explain how to calculate step by step it will help alot . Thanks
(a) less improvement as just a number of points, or as a percentage?
points: 30 > 18
percent: 18/30 > 1/2
30.60 = 1/2
(b) E+M-(E&M) = U-7
38+M-9 = 63
Now you can answer the questions.
I have no idea.
(a) To determine which of the two girls showed less improvement, we need to find the difference in the improvement they made from the previous examination to the current one.
Ayisha scored 18 marks more than what she scored in the previous examination, where she scored 30 marks. To find her current score, we can add the improvement to her previous score: 30 + 18 = 48.
Amina scored 30 marks more than what she scored in the previous examination, where she scored 60 marks. To find her current score, we can add the improvement to her previous score: 60 + 30 = 90.
To compare their improvement, we can calculate the difference between their current scores and their previous scores:
Ayisha: 48 - 30 = 18
Amina: 90 - 60 = 30
Comparing the differences, we can see that Ayisha showed less improvement, with an increase of 18 marks compared to Amina's increase of 30 marks.
(b) To calculate the values asked in the Venn diagram scenario:
i. To find the number of pupils who passed mathematics (M), we need to determine the number of pupils in the region that represents Mathematics only.
Given the information available, we can use the following formula to find M:
M = (Region 3) + (Region 2)
However, the value of Region 3 is not provided in the question. To proceed, we need additional information to find the value of Region 3 or any other relevant values.
ii. To find the number of pupils who passed only one subject (English or Mathematics), we need to find the number of pupils in both Region 1 (English only region) and Region 3 (Mathematics only region), as the combination of these two regions represents passing only one subject.
To calculate the number of pupils passing only one subject:
Number of pupils passing only one subject = (Region 1) + (Region 3)
As mentioned earlier, the value of Region 3 is missing, so we can't determine the exact number of pupils passing only one subject without additional information.
To summarize, in order to calculate the missing values in the Venn diagram, we need the value of Region 3 or more information.