Data Analysis
Classify the following type of data in the most specific way: Postcode
Nominal Data
2, 4, 8, 16, 32 is a _____________ sequence
Geometric
What is the order of the following matrix?
[ 3 4 5]
1x3
What is the degree of a vertex?
The number of times edges connect to it
Round 81.99915 to:
a) 3 decimal places
b) 3 significant figures
a) 81.999
b) 82.0
What summary statistics does a boxplot show us?
5-number summary
Find t7 in the following sequence: 7, -10.5, 15.75, -23.625...
79.734375
Find element a23 when A =
[ 0 1 6 ]
[ 1 2 5 ]
[ 0 9 3 ]
5
A planar graph has 6 vertices and 11 edges. How many faces does it have?
7.
v - e + f = 2
In a frequency table of 55 data values, one particular variable has a percentage frequency of 31%. What was the frequency number for this variable (to the nearest whole number)?
17
Moderate, negative, linear relationship
Construct a recurrence relation for the following situation:
On day one, I did 20 push-ups. I did two extra push-ups on every following day.
V0 = 20, Vn+1 = Vn + 2
Calculate 3B + C when:
B = [ 3 -1 ] and C = [ -1 -4 ]
[ 2 -5 ] [ 3 7 ]
[ 8 -7 ]
[ 9 -8 ]
At a zoo, there are several enclosures and paths of varying distances in between them. What is the mathematical name given to a route taken whereby each enclosure will be visited once only?
Hamiltonian Path
Two points on a straight line are (0,14) and (3,1). What is the slope of the line? Round your answer to one decimal place.
-4.3
Year: 1, 2, 3, 4, 5, 6
Happiness (% of day): 51.2, 50.4, 50.2, 53.3, 59.3, 62.1
Happiness = 46 + 2 x year
Write a rule to find any value in the following sequence:
There were initially 12 snails in a garden. Each day, there are 2.5% more than the previous day.
Vn = 1.025n * 12
Multiply the following matrices and show the calculations (run & dive) for the resulting elements:
[ 2 6 ] * [ 3 0 ]
[ 1 -1] [ 1 1]
[ 2*3 + 6*1 2*0+ 6*1 ]
[1*3 + -1*1 1*0 + -1*1 ]
= [ 12 6 ]
[ 2 -1 ]
Prim's Algorithm
If y is inversely proportionate to x and y=6 when x=2, then what is the value of y when x=8?
1.5
k = 12.
y = k/x
For temperatures between 7 and 39 degrees, the least squares regression equation is: ice cream sales = 14.7 + 3.55 * temperature.
Predict the temperature (to the nearest degree) when ice cream sales is 200. Comment on the reliability of this prediction.
Temperature = 52.
This is an unreliable prediction, as 52 is outside the range of data we were given for temperatures (extrapolation).
A golf club's social committee has $3400 invested in an account that pays interest at the rate of 2.2% p.a compounding quarterly.
How many years will it take the investment to reach $5884?
100 quarters = 25 years
solve(5884 = 3400*(1.0055)n,n)
Solve the following set of simultaneous equations, showing matrix calculations.
7x + y = 17
5x - y = 7
[ 7 1 ] -1 * [ 17 ]
[ 5 -1] [ 7 ]
x = 2, y = 3
Four friends go to an ice cream shop. Aaron chooses chocolate and strawberrry ice cream. Doris chooses chocolate and vanilla ice cream. Greg chooses vanilla ice cream. Isabel chooses vanilla and lemon ice cream. This information could be presented in a graph.
Which of the following statements are true?
The graph would be connected. The graph would be bipartite. The graph would be planar. The graph would be a tree.
All of them!
Show the correct Finance Solver information for:
We want to find out how many months it takes to pay off a loan of $35000 at an interest rate of 5.9% per annum compounding monthly, with additional payments of $2000 every month.
N:
I: 5.9
PV: 35000
Pmt:-2000
FV: 0
P/CpY: 12