Using and Managing Data and Information

This document provides information and solved assignments on using and managing data and information. It covers various tasks related to calculations, efficiency, equations, and variables. The subject is not mentioned.

Using and Managing Data
and Information

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

Questions
Task 1
(a) 1.88
First we insert 1.8 into the keyboard then then that action button is used by 8 of 1.8. Afterwards
to obtain the amount, we press on same button.
110.19
(b) 5√243
5×√243
=5×√81⋅3
=5×√92⋅3
=5×9×√3
=45×√3
=45√3
(c) 1 / (1+0.07) 3
= 1/1.22
= 0.82
We must attach 1 and 0.07 below that first, which should be 1.07. After that, by entering the
power key in the calculator, we can calculate power 3 from 1.07 and the value would be
1.22. In addition, to obtain the result, we can isolate 1 with 1.22.
(d) 2500 x 5-3
=2500*0.008
=20

First, by inserting amount 5 in the calculation and calculating power -3, we can determine the
magnitude of 5-3. By is something we will obtain 0.008, and to hit the result, this
amount would be compounded.
(e) 34.18 + √79/ 0.4375−2.28
34.18+8.89/-1.84
= -23.40
First among all, by inserting the root key in the calculator, this can find a root value of 79. The
amount would be 8.89 and that will be added to 34.18 and 43.07 respectively. After that,
0.4375 is subtracted from 2.28 and the sum is -1.84. Ultimately, 43.07 would be entered
and separated by -1.84 to really get the result.
Task 2
a) How abundant would an 11-minute appeal to New York price?
Amount per minute: 5/2.90
= £1.72
Price for 11 minute: £1.72*11
=£ 18.96
b) Bill’s call expenses £9.86. How extended (in minutes) was the 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)
(c) Deluxe Paint
(i) Red: 144*7/9
= 112 Liter
Blue: 144/2/9
= 32 Liter

(ii) Red color:
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
The winning likelihood can be seen as followed from the 30 chances of selecting 5: 1 in 50
probabilities are to obtain the first amount that was created. Only 49 balls remained as the
illustration hits the two conditions, hence the masses are removed without replacement. Thus,
one out of 50 is already predicted to have this figure.
50/ (50-5) = 50* 49*48*47*46
Importance of factorial 45 or probabilities 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) A) Throughout the calculation the significance of 32.3 is c that calculates the value at which
outlines are crossed by the y-axis. The m (6,4) is the gradient of the equation.
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= 19.71
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 For production and consumption, the relationship among P and Q is that while the value is 2 or
3 products in each cycle as required by the consumer.

b) the central point of intersections of producers and consumers is recognized as an economical
or balance point, where consumer demand for the commodities is ultimately fulfilled at the
optimal price for the goods in question.
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