Bivariate/Time
Using the r2=0.75, find the coefficient of determination and describe it
r=0.86, strong positive correlation
An arithmetic sequence starts at 15233 and the 27th term is 4937. The common difference is.
d=-396
To calculate the number of degrees of longitude across the Earth's surface for a time zone difference of one hour use
1.) 90/12
2.) 90/24
3.) 360/12
4.) 360/24
360/24
Given An+1=1.02An, A0= 125 000 what is the interest rate per annum
2%
What is a Hamiltonian cycle?
Start and finish at the same vertex passing through every vertex only once
Create a two-way percentage table from the below information.
131 100 87
73 84 45
41.2% 31.4% 27.4%
36.1% 41.6% 22.3%
New car was purchased for $30000. If he depreciate the value using a straight line depreciate method at a rate of 15%. Determine the value after 5yrs
t6=$7500 after 5 yrs
Santiago (UTC -3) needs to speak to someone in Lusaka (UTC +2). It is currently 9pm in Santiago on 22 sept. What is the time in Lusaka?
2am on 23 sept
What is Miss Healy's favourite thing to teach in maths?
Algebra
Draw a directed graph for the following adjacency matrix.
m J c t
m 0 1 1 0
j 0 0 0 0
c 0 1 0 1
t 1 1 0 0
See teacher
1.1 0.6 1.4 1.2 0.3 0.5 0.9 1.3 0.8
7 4 7 8 5 6 8 9 7
H=3.10xh + 3.98
Time 1 2 3 4 5 6
Visit 12 15 14 20 17 22
What is the regression equation for this series?
Visit = 1.77 x days + 10.5
The shortest distance between Durban (30S, 31E) and Cairo (30N, 31E) is
6672km
Select the best investment
a - 4% p.a compounding monthly
b - 4.5% p.a compounding quarterly
c - 3.5% p.a compounding weekly
d - 5% p.a compounding yearly
What are the steps for a Hungarian algorithm?
Row reduction
Column reduction
cover zeros
extra step - circle smallest number and add it to the cross over, subtract from uncovered numbers
Bipartite graph
Find total
What is the difference between a scatterplot and time series graph?
Time series graph is connected to show variation of time
positive cases = 103 - 12 x time
When time=3, the number of positive cases is 39
The residual for this point is?
-28
How many days are in the school year?
200 days
Mary invests in an annuity worth $270 000 at 3.5% p.a. compounding monthly for 20 years. How much will she receive each month?
m= $1565.89
What is a minimum spanning tree
A spanning tree of a weighted connected graph that has the smallest total weight of all possible spanning trees of that graph
J-M A-J J-S O-D
1.2 0.8 1.3
Deseasonalise A-J if 1250 rooms were booked
1785.71
What are the countries Miss Healy has visited?
France and USA
The city closest to San Jose (37N, 122W) is
Mikonos (37N, 25E)
Seville (37N, 6W)
Tunis (27N, 10E)
Incheon (37N, 127E)
Borrow $400000 at 2.4% p.a. compounding monthly. They can repay $2000 per month. Generate a recurrence relation to represent this situation
An+1=1.002An-2000
Where is Miss Healy's favourite place on Earth?
Anywhere by the beach