e table below shows the amounts and corresponding proportions of salary a manager spends on rious items. Item of expenditure Insurance Income tax Mortgage payment Savings Money budgeted Proportion of salary $450 1/ 12 $1,125 5/24 $1,350 a b 1/3 C d Food and Expense (i) Calculate the values of a, b, c, and d. (!!) € (iii) Calculate the angle sector for each expenditure. Calculate the difference between the proportion of salary for insurance and the proportion of salary for income tax. 5. In a survey, all the boys in a Book Club were asked how many books they each read during the Easter holiday. The results are shown in the bar graph below. No. of Boys 20 10- No. of Books (a) Draw a frequency table to represent the data shown in the bar graph. (3 marks) (b) How many boys are there in the Book Club? (2 marks) (c) What is the modal number of books read? ( 1 mark) (d) How many books did the boys read during the Easter holiday? ( 2 marks) (e) Calculate the mean number of books read. ( 2 marks) (f) What is the probability that a boy chosen at random read THREE OR MORE books? ( 2 marks)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer the following
e table below shows the amounts and corresponding proportions of salary a manager spends on
rious items.
Item of expenditure
Insurance
Income tax
Mortgage payment
Savings
Money budgeted
Proportion of salary
$450
1/ 12
$1,125
5/24
$1,350
a
b
1/3
C
d
Food and Expense
(i) Calculate the values of a, b, c, and d.
(!!)
€
(iii)
Calculate the angle sector for each expenditure.
Calculate the difference between the proportion of salary for insurance and the proportion of
salary for income tax.
5.
In a survey, all the boys in a Book Club were asked how many books they each read during the
Easter holiday. The results are shown in the bar graph below.
No. of Boys
20
10-
No. of Books
(a)
Draw a frequency table to represent the data shown in the bar graph.
(3 marks)
(b)
How many boys are there in the Book Club?
(2 marks)
(c)
What is the modal number of books read?
( 1 mark)
(d)
How many books did the boys read during the Easter holiday?
( 2 marks)
(e)
Calculate the mean number of books read.
( 2 marks)
(f)
What is the probability that a boy chosen at random read THREE OR MORE books?
( 2 marks)
Transcribed Image Text:e table below shows the amounts and corresponding proportions of salary a manager spends on rious items. Item of expenditure Insurance Income tax Mortgage payment Savings Money budgeted Proportion of salary $450 1/ 12 $1,125 5/24 $1,350 a b 1/3 C d Food and Expense (i) Calculate the values of a, b, c, and d. (!!) € (iii) Calculate the angle sector for each expenditure. Calculate the difference between the proportion of salary for insurance and the proportion of salary for income tax. 5. In a survey, all the boys in a Book Club were asked how many books they each read during the Easter holiday. The results are shown in the bar graph below. No. of Boys 20 10- No. of Books (a) Draw a frequency table to represent the data shown in the bar graph. (3 marks) (b) How many boys are there in the Book Club? (2 marks) (c) What is the modal number of books read? ( 1 mark) (d) How many books did the boys read during the Easter holiday? ( 2 marks) (e) Calculate the mean number of books read. ( 2 marks) (f) What is the probability that a boy chosen at random read THREE OR MORE books? ( 2 marks)
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