Math Homework Assignment: Numeracy, Algebra, Probability, Statistics

This document presents a complete solution to a math homework assignment, addressing a range of topics including numeracy, algebra, probability, and financial mathematics. The solution includes detailed calculations for problems involving exponents, roots, linear equations, slope, and parallel lines. It also covers probability calculations and the determination of Net Present Value (NPV) for a financial project. Additionally, the document offers a self-assessment of the student's understanding of the concepts, highlighting areas of strength and areas where further improvement is needed. The student also correctly identifies that two linear equations with the same slope are parallel and do not intersect. This assignment offers a comprehensive overview of key mathematical concepts and their application.

MATHS NUMERACY

Question 1
Number a 25
Number b 8
Number c 4
Number d 10
a) 25 × 25/13 = 625
b)3√25 × 3√8 = 2.92 × 2 = 5.84
c) (8) × 8 = 8
Question 2
6ˉ = 1/36 = 0.02777
5.6 × 10¯ = 5.6/100 = 0.056
hence, it can be said that 0.056 is greater than 0.02777
Question 3
a) 8(2t-4) = 3t-6
= 16t-32 = 3t-6
= 13t = 26
= t = 2
b) -4 < x < 1
Integral values are -4, -3, -2, -1, 0, 1.
c) For line parallel, slope should be same.
In equation y = mx + c, m is slope.
Hence, according to question in equation -6x = -y-2
It can be written as y = 6x-2, by comparing with y = mx+c, its slope is 6.
Hence, according to question in equation 2y = 6x + 2
It can be written as y+ 3x+1, by comparing with y = mx+c, its slope is 3.
Hence, it can be said that slopes are not same. Therefore, lines are not parallel to each other.
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Question 4
According to graph,
at x=0, y=2
at x=1, y=-2
at x=-1, y=6
From above points it can be answered that y = -4x + 2 will satisfy.
Question 5
a) y = 250x + 1000
Its slope is 250.
b) 4500= 1000+ 250x
= 3500 = 250x
= x = 14
Hence, it will take 14 days to fulfill order.
Question 6
Question 7
a) y2-y1/x2-x1 = m, ( m is slope)
slope = 1117-799.5/2-4.5
slope = -127
b) y = mx + c
by taking a point (2, 1117)
1117 = -127*2 + c
c = 1371
c) y = -127x + 1371
d) y = -127*5.5 + 1371
= y = 672.5
e) they have liner correlation.
Question 8
Year Cash flow Discounting factor present value
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@5%
0 -8000
1 2200 0.952 2095.24
2 1900 0.907 1723.36
3 3900 0.864 3368.97
4 1700 0.823 1398.59
Total present value 8586.155
Less: Initial
investment 8000
NPV 586.155
b) yes bakery can proceed with the project, because NPV is positive.
Question 9
a) previous probability = 60/320 = 0.26
to made it 0.5, it will need 55 winning tickets more.
b) 4/52 = 0.076
c) 6/45 + 1/3 = 0.46
Task 1
 I feel confident about power and roots problems.
 I need to improve for problems like probability and NPV, I face some difficulty
there.
 I have contributed by independent study and results in positive output.
Task 2
Y = 3x – 6 and y = 3x + 2 have same slope then, they will be parallel lines not intersecting lines.
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