A group of 570 students were surveyed about the courses they were taking at their college with the following results:
1 answer:
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
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Answer:
The annual interest rate is 12.05%.
Step-by-step explanation:
The simple interest is given by the formula:
Where I denotes interest.
P denotes the principal amount.
R denotes the rate of interest
and T denotes the time period.
I=$160.67, P=$2000, t=8 months=8/12 years (Since 12 months=1 year so 1 month=1/12 year)
Hence, the annual interest rate is 12.05%.