Answer:
Let x = number of gate tickets, ($1.50)
:
Since there were 600 tickets sold, let (600-x) = the $1 tickets
:
1.50 tickets + $1 tickets = $700
:
1.5x + 1(600 - x) = 700
1.5x - x = 700 - 600
.5x = 100
x = 100/.5
x = 200 ea 1.50 tickets sold at the gate
;
;
Check: there were 600 - 200 = 400 ea $1 tickets sold
1.50(200) + 1(400) = $700
Green or purple = 10
prob(green or purple) = 10/30 = 1/3
answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
Answer:
16%
Step-by-step explanation:
Blue = 6
Green = 7
Purple = 5
Red = 4
Orange = 3
25 Students in total
Probability of Red = 4/25
Or 16/100
16%
Answer:
There are 5,586,853,480 different ways to select the jury.
Step-by-step explanation:
The order is not important.
For example, if we had sets of 2 elements
Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
Here we have 
.
So
There are 5,586,853,480 different ways to select the jury.
