Algebra
Solve for
12x+19=79
12x+19=79
12x=60
x=5
What does Sample Space mean?
A list of all outcomes
What is the definition of mean
The average
What is the area of a rectangle if the short side is 7.6cm and the long side is 15.6cm?
7.6*15.6=118.56cm2
Convert this improper fraction to a percentage
3 and 2/5
3 and 2/5 = 340%
What is the formula to find the smallest side of a right angle triangle. If a = Smallest side and c = longest side, and b=medium length side
a2 = c2-b2
What does Sample Size mean?
Number surveyed
Find the range
3,7,9,13,84,106
R=106-3=103
Find the volume of a cube if one side length = 13cm
A=2197cm3
What is 7/8 of 64
64/8=8
8*7=56
Therefore 7/8 * 64=56
18x-94=5x+49
13x=143
x=11
If I roll two die, and find the sum of the die and record it, what is the theoretical probability of rolling a 7
P=6/36 = 1/6
Find the IQR
0.2,0.9,1,1.1,1.2,1.2,1.3,1.9,2.1,2.2,2.9
IQR=2.1-1 = 1.1
Find the area of a trapezium if the height = 7cm, the top side = 15cm, and the bottom side =6cm
A=7/2*(15+6)
A=3.5*21=73.5cm2
If John buys a microwave from a wholesaler for $56, and then sells it up by 10%, how much profit has he made?
110% of 56 = $61.6
$61.60-$56=$5.60
No points if answered $5.6
Solve if x=12 and y=8
(-9x+8)(15y-10) = ?
(-9x+8)(15y-10)
=-135xy+90x+120y-80
=-12960+1080+960-80
=-11000
14 students in total have blue eyes and 5 of those have both blue eyes and blond hair. 17 only have blond hair, and 3 have neither
How many have blonde hair or blue eyes but not both
14+17 = 31 people
Find Q2
0.2,0.9,1,1.1,1.2,1.2,1.3,1.9,2.1,2.2,2.9
Q2 = Median = 1.2
Find the Volume of a cylinder in cm2 if Height = 87cm, Diameter = 34cm
To 2dp
Volume = 87*(π *{34*34})
V = 87*(π *1156)
V= 315956.26cm2
If a toaster normally costs $80, and all prices are reduced by 35%, what is the new cost of the toaster?
100%-35%=65%
65% of 80=$52
Find the Gradient if the following are points on a graph
y - [168, 196]
x - [12, 17]
(196-168)/(17-12) = 28/5 = 5 and 3/5
If 15 people travel by bus, 39 travel by train, and 7 drive, what percentage of people travel by train. To 3dp
63.934%
Stem | Leaf - What is the range?
7 | 3 4 5 7 7
8 | 1 2 2 3 8 9
9 | 0 4 4 4 4 6 7 9
99-73=26
Find the volume of a cone if the radius = 14 and the height = 23
2dp in cm3
V= π*(14*14)*(23/3)
V= π*196* 7 and 2/3
V= π *1502 and 2/3
V= 4720.77cm
If the TV cost $1348 without GST, find the cost after GST
IF GST=additional 10%
$1,482.80