The total number of students in 8th grade will be the sum of number of all students shown in the Venn Diagram, as the students in 8th class are the Universal set in this case.
So, total number of students in grade 8 = 34 + 14 + 44 + 15 = 107
Number of students who are taking either of these subjects as elective are shown in the colored regions and are equal to = 34 + 14 + 44 = 92
Probability of a student chosen at random taking either of these subjects as an elective = Student taking these courses as elective / Total number of students
So,
Probability of a student chosen at random taking either of these subjects as an elective = 92/107
Thus option B gives the correct answer.
Area= Length x Width
7: 48m 2
8: 78.37375 ft 2
Answer:
Assessing the association between supplemental vitamin A exposure and mortality and morbidity for measles:
Regarding the relative risk, the correct statement is:
a. Exposure to vitamin A appears to protect against morbidity and mortality for measles.
Step-by-step explanation:
Relative risk for incidence of measles = 0.75
Relative risk for measles mortality = 0.5
Relative risk for mortality and morbidity for measles = 0.375 (0.75 * 0.5)
The combined relative risk is less than 50%
The association is weak because RR is less than 1.
Therefore, there is no association between supplemental vitamin A exposure and mortality and morbidity for measles.
Answer:
No. We can conclude that (x-4) is <u>not</u> a factor of the polynomial.
Step-by-step explanation:
The <em>polynomial remainder theorem</em> tells you (x-4) will be a factor of the polynomial f(x) if and only if f(4) = 0. When we evaluate ...
f(x) = 4x³ -20x² +18x -12
at x=4, we find that f(4) = -4. This is not zero, so (x-4) is not a factor of f(x).
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The evaluation is perhaps easiest done by hand when the function is written in Horner form:
f(x) = ((4x -20)x +18)x -12
f(4) = ((4·4 -10)4 +18)4 -12 = ((-4)4 +18)4 -12 = 2·4 -12
f(4) = -4
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The one real factor of this polynomial is irrational, and the remaining factors are complex and irrational.