Learn more about our help with Assignments: Math
Search & Filtering
define Q(q): for all value of p in N, where p<q such that NOT(there exist k in N, where (q=k*p)^(k<q))
Using laws of logic,find for which numbers q in N, when Q(q) is true?
Using laws of logic,find for which numbers q in N, when Q(q) is true?
what is an expression equivalent to 6+(9+7)
a) The following data relates to daily bill (in Kshs) on consumption of a certain commodity for 60 households
Daily bills (Kshs) No. of households
10 - 20 6
20 - 30 7
30 - 40 11
40 - 50 10
50 - 60 6
60 - 70 5
70 - 80 9
80 - 90 3
90 - 100 3
i) Calculate the mean
ii) Calculate the median
iii) Calculate the mode
iv) Calculate the standard deviation
v) Calculate the coefficient of skewness
vi) Comment on the skewness of this distribution
Calculate the coefficient of variation
Daily bills (Kshs) No. of households
10 - 20 6
20 - 30 7
30 - 40 11
40 - 50 10
50 - 60 6
60 - 70 5
70 - 80 9
80 - 90 3
90 - 100 3
i) Calculate the mean
ii) Calculate the median
iii) Calculate the mode
iv) Calculate the standard deviation
v) Calculate the coefficient of skewness
vi) Comment on the skewness of this distribution
Calculate the coefficient of variation
Let X be a metric space, let K be a closed subset of X, and let x be in X-K. Prove that there exist disjoint open sets U and V such that U contains x and V contains K.
The following data shows the different sizes of nails contained in a box bought by a
customer.
length(mm) Number of nails
10 to 14 10
15 to 19 12
20 to 24 18
25 to 29 16
30 to 34 4
(a) Find the followings:
i. Mean
ii. Median
iii. Standard deviation
(b) Calculate the Pearson’s coefficient of skewness and explain the distribution.
(c) Construct a cumulative frequency curve. From the cumulative frequency curve,
determine:
i. The first quartile
ii. The third quartile
iii. The percentage of nails with length exceeding 22mm.
customer.
length(mm) Number of nails
10 to 14 10
15 to 19 12
20 to 24 18
25 to 29 16
30 to 34 4
(a) Find the followings:
i. Mean
ii. Median
iii. Standard deviation
(b) Calculate the Pearson’s coefficient of skewness and explain the distribution.
(c) Construct a cumulative frequency curve. From the cumulative frequency curve,
determine:
i. The first quartile
ii. The third quartile
iii. The percentage of nails with length exceeding 22mm.
A long straight road in a small town of New York is being used to monitor driving speeds.
The first 50 cars gave the results shown in Table 1 below. The figures are in km/h to
the nearest whole number.
45 60 71 57 67 78 90 81 78 91
65 88 67 66 50 68 67 73 63 94
48 90 79 95 65 70 75 61 54 67
57 59 85 84 70 81 40 59 76 59
77 78 97 75 72 77 54 68 67 74
Table 1
Answer the following questions:
(a) Find the range.
(b) Construct a frequency distribution for these data.
(c) Represent the data by a histogram and draw a frequency polygon on the
same graph. Hence, estimate the mode.
The first 50 cars gave the results shown in Table 1 below. The figures are in km/h to
the nearest whole number.
45 60 71 57 67 78 90 81 78 91
65 88 67 66 50 68 67 73 63 94
48 90 79 95 65 70 75 61 54 67
57 59 85 84 70 81 40 59 76 59
77 78 97 75 72 77 54 68 67 74
Table 1
Answer the following questions:
(a) Find the range.
(b) Construct a frequency distribution for these data.
(c) Represent the data by a histogram and draw a frequency polygon on the
same graph. Hence, estimate the mode.
a) Briefly describe the two types of statistics with an example for each.
b) List 4 criteria of good questionnaires.
c) Explain the meaning of qualitative and quantitative variable.
d) Briefly explain the difference between a census and a sample survey. Why is
conducting a sample survey preferable compare conducting a census?
e) List ALL types of measurement levels and give 3 examples each
b) List 4 criteria of good questionnaires.
c) Explain the meaning of qualitative and quantitative variable.
d) Briefly explain the difference between a census and a sample survey. Why is
conducting a sample survey preferable compare conducting a census?
e) List ALL types of measurement levels and give 3 examples each
a chess player played 20 games total . if he won 2 of the games what is the ratio of games he lost to games he won
define Q(q): for all value of p in N, where p<q such that NOT(there exist k in N, where (q=k*p)^(k<q))
Using logic, construct truth table, find for which numbers q in N, when Q(q) is true?
Using logic, construct truth table, find for which numbers q in N, when Q(q) is true?
Suppose that you need to deliver the message “161803398” which is the pass key for a weapon
activation to country X. Encrypt the message using Caesar cipher with the encryption key,
(n + 2^2 )mod10 where n =0, 1, 2,...,9 , without being intercepted and decrypted by other countries. Using number theory method:
(a) State the decrypted message.
(b) Determine the decryption key.
(c) Suggest an improvement to the encryption key to increase the encryption strength
activation to country X. Encrypt the message using Caesar cipher with the encryption key,
(n + 2^2 )mod10 where n =0, 1, 2,...,9 , without being intercepted and decrypted by other countries. Using number theory method:
(a) State the decrypted message.
(b) Determine the decryption key.
(c) Suggest an improvement to the encryption key to increase the encryption strength
