FE-MATHS-QUIZ

-8x2-6xy+0.5y2-x-5y-12 = 0 represents :
hyperbola
parabola
circle
ellipse
Give this triangle :
Screenshot 2021-07-24 185823
Screenshot 2021-07-24 185823
the perimeter of the triangle is most nearly :
100
124
150
168
two vectors are given :
A = 3i + 4j + 5k
B = i + 8j + 2k
 
The cross product AxB is :
32i + j + 20k
-32i -j +20k
32i + j - 20k
0 (vector)
the value of the derivative of the function x2e-3x , at x =2 is most nearly :
0.01
1
-0.02
-0.3
A straight line perpendicular to y = 2x + 5 is :
y = -2x + 5
2x + 1/5
-0.5x + 5
-x + 5
The area over the interval 1<=x<=5 between the curves y = x + 5 and y = x2 + 5 is most nearly :
 
40
0
29
20
5 students are eligible for a scholarship, but only 3 spots are available. The number of possible combinations of students is :
60
10
20
15
10 fair coins are tossed at one time. What is most nearly the probability that exactly four heads are tossed ?
0.21
0.30
0.42
0.06
For confidence interval for the mean of a normal distribution, or the difference between two means, we use the student's-t distribution if :
the standard deviation(s) is(are) known
the standard deviation(s) is(are) not known
We don't use it
No one of the above choices
A sample consist of 10 measurements, the confidence interval of the mean has to be calculated with a 95 % confidence level. If the standard deviation is not known, what are the parameters α/2 (alpha/2) and ν of the student's-t distribution :
0.025 ; 10
0.025 ; 9
0.05 ; 10
0.05 ; 9
0
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