Using and Managing Data and Information

This document provides information on using and managing data and information. It includes solved assignments and essays related to this topic. The document covers various tasks and topics such as calculations, probability, equations, and variables. It is suitable for students studying subjects related to data and information management.

Using and Managing Data
and Information

Table of Contents
TASK 1............................................................................................................................................3
TASK 2............................................................................................................................................3
TASK 3............................................................................................................................................3
TASK 4............................................................................................................................................3
TASK 5............................................................................................................................................3
TASK 6............................................................................................................................................3
TASK 7............................................................................................................................................3
TASK 8............................................................................................................................................3
TASK 9............................................................................................................................................4
TASK 10..........................................................................................................................................4
TASK 11..........................................................................................................................................4
TASK 12..........................................................................................................................................4

TASK 1
(a) 1.88
In the calculator first we enter 1.8 and then will use power button by entering power 8 of
1.8. After that we click on equal button to measure the value.
110.19
(b) 5√243
(c) 1 / (1+0.07) 3
Under this first we will add 1 and 0.07 that will be of 1.07. After this we will measure
power 3 of 1.07 by entering power button in calculator and value will be of 1.22. Further,
we will divide 1 from 1.22 to get the answer.
= 1/1.22
= 0.82
(d) 2500 x 5-3
Under this, first we will compute value of 5-3 by entering number 5 in calculator and
measuring power -3. By which we will get 0.008 and this value will be multiplied to
reach the answer.
=2500*0.008
=20
(e) 34.18 + √79/ 0.4375−2.28
First of all we will find under root value of 79 by entering root button in calculator. The
value will be 8.89 and it will add in 34.18, it will be of 43.07. After this we will subtract
0.4375 from 2.28 and value will be -1.84. In the end we will enter, 43.07 and divide it by
-1.84 to get the answer.
34.18+8.89/-1.84
= -23.40
TASK 2
a) How much would an 11-minute call to New York cost?

Rate per minute: 5/2.90
= £1.72
Cost for 11 minute: £1.72*11
=£ 18.96
b) Bill’s call costs £9.86. How long (in minutes) was his call?
= 9.86/1.72
= 5.73 Minutes
TASK 3
(a) One person’s efficiency to paint: 3/5
= 180 Minutes/5
= 36 Minutes
Time taken by 6 people: 6*36 Minutes
= 216 Minutes or 3.6 Hours or 3 hours and 36 Minutes
(b) Deluxe Paint
(i) Red: 144*7/9
= 112 Liter
Blue: 144/2/9
= 32 Liter
(ii) Red color: c
TASK 4
(a) FV: PV x (1 + R)N
= 11500*(1+2.35)7
= 11500*3.357
= 11500*4734.93
=£54,451,695
(b) VAT:
(i) Calculate the amount of VAT charged
= 95*20%
=£ 19

(ii) total cost of the service
= 19+95
= £114
(c) number of units
Total bill: 66.84
Less: quarterly charge: 11.40
= £55.44
Per unit cost: 7.25 Pence or 0.0725 Pounds
Units: 55.44/0.0725
= 764.68 Units
TASK 5
From the 30 number the chances of choosing 5 the probability of winning can be shown as
follows: There is a 1 in 50 chance of reaching the very first number produced. There were just
49 balls leftover as the drawing gets to the second element, so the spheres are pulled without
substitution. So there is already a 1 in 50 probability of such a number being expected.
50/ (50-5) = 50* 49*48*47*46
Value of factorial 45 or chances of winning lottery is = 119622220865
480194561963
161495657715
064383733760
TASK 6
(a) ∑ x: 1.79+1.57+1.70+1.85+1.69+1.75+1.72+1.61+1.65+1.77
= 17.1
(b) ∑ y: 87+68+76+92+71+83+77+71+76+82
= 783

(c) ∑xy: 1344.42
Working
x y xy
1.79 87 155.73
1.57 68 106.76
1.7 76 129.2
1.85 92 170.2
1.69 71 119.99
1.75 83 145.25
1.72 77 132.44
1.61 71 114.31
1.65 76 125.4
1.77 82 145.14
1344.4
2
(d) ∑x2= 29.31
Working
x X2
1.79 3.2041
1.57 2.4649
1.7 2.89
1.85 3.4225
1.69 2.8561
1.75 3.0625
1.72 2.9584
1.61 2.5921
1.65 2.7225
1.77 3.1329
29.31
(e) Average height: Total sum/number of item
= 17.1/10
= 1.71

(f) average weight: Total sum/number of item
= 783/10
= 78.3
(g) n x ( ∑𝑥𝑦) - (∑ 𝑥) x (∑ 𝑦)
= 10*1344.42-(17.1)*(783)
= 13,444.2- 13,389.3
= 54.9
TASK 7
A) The value of 32.3 in the equation is c which means that the value in which the lines
intersects the y axis. The (6.4) represent the m which means that it is the gradient of the
equation.
B) Gradient = -2
Equation = y= -2x+3
Value of y= m(-4.2)+3 = 2.3
TASK 8
A) Equation for cotton = 1560 /2.5 = 498
Equation for silk = 1560/3.5
B) The company sell total of 498 mtr of cloths during the last year.
TASK 9
(a) 6 + 𝑎/ 6 = 12
= a/6: 12-6
= a: 6*6
= a: 36
(b) 2 (5a – 7) = -3.5
= 10a-14= -3.5
= 10a= -3.5+14
= 10a= 10.5
= a= 10.5/10
a=1.05

(c) 4(x + 2) + 5(3x - 1) = 6x + 35
= 4x+8+15x-5= 6x+35
= 19x+3= 6x+35
=19x-3x= 35-3
=16x= 32
=x: 32/16
X= 2
(d) 𝑎 /3 + 5(𝑎 - 5) = 5 - 2(𝑎 + 7)
= a/3+ 5a-25= 3a+21
= a/3+5a-3a= 21+25
= 7a/3= 46
= 7a= 46*3
= 7a= 138
a=138/7
a= 19
TASK 10
(a) Equation:
4x+32y= 42.40
4x+28y= 38.80
(b) Find the cost of a kg of apples and cost of a kg of orange.
4x+32y= 4240
4x+28y= 3880
4y= 360
y=90 Pence
Putting value of y in equation one:
4x+32(90) = 4240
4 x +2880= 4240
4x= 1360

X= 340 Pence
So value of per KG of apple is 90 pence and orange is 340 Pence per KG
TASK 11
A) The relation between P and Q for the supply and demand is that when the price is 2 than
the quantity demanded by the customers is 3 units in the respective time period.
B) The main point at which the demand and supply intersects is known as economic or
equilibrium point where the demand of customer in the market against the goods are
actually met at the desired price of respective good.
TASK 12
Variables
From the above all information there can be only two variable such as
Base unit = 40 min for production department and 30 min for assembly department
Cabinet unit = 15 min for production department and 25 min for assemble department.
Constraints
Base unit
X1+X2=40
X3+X4= 30
Cabinet unit
X1+X2= 15
X3+X4= 25
Assumption
The underlying contain these:
 Any volume that they wish to Kitchen from a grower
 Some losing weight during plant processing
 No delivery loss of weight
 Can offer all they make
 The precision of all statistics / figures
[X1+ X2<= 70]/10= [X3+X4=40]/10