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Find a unit vector parallel to the resultant vector A1=2i+4j−5k, A2=1+2j+3k
a) 3/7i+6/7j−2/7k
b)1/7i+63/7j−4/7
c)2/7i−3/7j−5/7
d)3/5i+6/5j−2/5
a) 3/7i+6/7j−2/7k
b)1/7i+63/7j−4/7
c)2/7i−3/7j−5/7
d)3/5i+6/5j−2/5
The following forces act on a particle P :F1=2i+3j−5k, F2=−5i+j+3k, F3=i−2j+4k ,F4=4i−3j−2k, Find the magnitude of the resultant
a)2i−j
b)2i−j+k2
c)2i−j−2k
d)i−j−k
a)2i−j
b)2i−j+k2
c)2i−j−2k
d)i−j−k
If a and b are non-collinear vectors and A = (x+y)a+(2x+y+1)b
A=(x+y)a+(2x+y+1)b
a) x=2,y=4
b) x=2,y=1
c)x=4,y2
d)x=1,y=1
A=(x+y)a+(2x+y+1)b
a) x=2,y=4
b) x=2,y=1
c)x=4,y2
d)x=1,y=1
Find the magnitude of vector A = 3i - 2j + 2k
(a)1 (b)5 (c) 3 (d) 2
(a)1 (b)5 (c) 3 (d) 2
Given the scalar defined by ∅(x,y,z) = 3x^2z - xy^2 + 5. find ∅ at the points(-1,-2,-3)
(a)12 (b)19 (c)19 (d)5
(a)12 (b)19 (c)19 (d)5
QUESTION 2
The amount of protein (in grams) for a variety of burgers from selected fast-food restaurants in Klang Valley is reported in Table 2.
Table 2
23 30 20 27 44 26 35 20 29 29
25 15 18 27 19 22 12 26 34 15
27 35 26 43 35 14 24 12 23 31
40 35 38 57 22 42 24 21 27 33
a) Construct a frequency distribution table using eight as the class width and 12 as (4)
the lower limit of the first class.
b) Based on the frequency table in (a), construct a histogram. (4)
c) Comment on the distribution of the protein based on the histogramconstructed (2)
in (b).
The amount of protein (in grams) for a variety of burgers from selected fast-food restaurants in Klang Valley is reported in Table 2.
Table 2
23 30 20 27 44 26 35 20 29 29
25 15 18 27 19 22 12 26 34 15
27 35 26 43 35 14 24 12 23 31
40 35 38 57 22 42 24 21 27 33
a) Construct a frequency distribution table using eight as the class width and 12 as (4)
the lower limit of the first class.
b) Based on the frequency table in (a), construct a histogram. (4)
c) Comment on the distribution of the protein based on the histogramconstructed (2)
in (b).
Suppose that the weight distribution of monitor lizards is normal, with 10% of all
monitor lizards having a weight of more than 10.6340 kg and 5% having a weight
of less than 9.7565 kg. Find the mean and standard deviation of the weight dis-
tribution.
monitor lizards having a weight of more than 10.6340 kg and 5% having a weight
of less than 9.7565 kg. Find the mean and standard deviation of the weight dis-
tribution.
Ten leaves were randomly selected from each of ten similar strawberry trees for a
total of 100 leaves. The number of adult female spider mites on each was counted.
Mites/Leaf Frequency
0 16
1 71
2 10
3 3
Does the assumption of a Poisson distribution seem appropriate as a model for
these data?
total of 100 leaves. The number of adult female spider mites on each was counted.
Mites/Leaf Frequency
0 16
1 71
2 10
3 3
Does the assumption of a Poisson distribution seem appropriate as a model for
these data?
In a study of reaction times of horses to a speci c stimulus, an animal trainer
selected two samples of horses and measured their reaction times to the same
stimulus. The animal trainer obtained the following data, given in seconds.
Younger Horses Older Horses
2.8 2.3 4.5 3.0 2.6 5.3 3.2 5.1 4.7 5.4 5.6 5.4 3.1 5.2
4.0 3.3 4.8 3.1 4.0 2.7 3.2 4.4 4.5 4.4 4.8 6.3 3.3 4.7
4.7 5.8 6.1 2.3 4.5 2.9 4.1 4.8 4.1 5.5 4.9 5.2 5.4 5.4
3.3 3.3 3.8 5.7 4.5 4.5 4.4 4.6 5.1 4.7 5.2 5.1 4.8 3.2
2.4 5.3 3.9 5.4 3.2 3.2 2.5 3.8 6.0 5.3 4.7 4.8 2.6 3.9
3.1 4.0 4.8 3.2 2.4 2.6 3.5 5.9 4.8 4.1 5.3 6.0 4.6 4.6
(a) Construct a grouped frequency distribution for these data using 6 classes
and a class width of 0.7. Use the lowest value as the starting point.
(b) Find the variance for the two groups of horses.
selected two samples of horses and measured their reaction times to the same
stimulus. The animal trainer obtained the following data, given in seconds.
Younger Horses Older Horses
2.8 2.3 4.5 3.0 2.6 5.3 3.2 5.1 4.7 5.4 5.6 5.4 3.1 5.2
4.0 3.3 4.8 3.1 4.0 2.7 3.2 4.4 4.5 4.4 4.8 6.3 3.3 4.7
4.7 5.8 6.1 2.3 4.5 2.9 4.1 4.8 4.1 5.5 4.9 5.2 5.4 5.4
3.3 3.3 3.8 5.7 4.5 4.5 4.4 4.6 5.1 4.7 5.2 5.1 4.8 3.2
2.4 5.3 3.9 5.4 3.2 3.2 2.5 3.8 6.0 5.3 4.7 4.8 2.6 3.9
3.1 4.0 4.8 3.2 2.4 2.6 3.5 5.9 4.8 4.1 5.3 6.0 4.6 4.6
(a) Construct a grouped frequency distribution for these data using 6 classes
and a class width of 0.7. Use the lowest value as the starting point.
(b) Find the variance for the two groups of horses.
1) given that A1=2i-j+k, A2=i+3j-2k, A3=3i+2j+5k, and A4=3i+2j+5k
find scalars a,b,c such that A4=aA1+bA2+cA3.
2) if a and b are non-collinear vectors and A=(x+y)a+(2x+y+1)b
3) given the scalar defined by phy(x,y,z)=3x^2-xy^2+5
find scalars a,b,c such that A4=aA1+bA2+cA3.
2) if a and b are non-collinear vectors and A=(x+y)a+(2x+y+1)b
3) given the scalar defined by phy(x,y,z)=3x^2-xy^2+5
