Answer:
Step-by-step explanation:
Given
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
So, in a single roll; The probability of getting audited is:
The probability of not getting audited in a single roll is:
--- Complement rule
Take LCM
The probability of not getting audited in 5 rolls is:
Answer:
x = 10
Step-by-step explanation:
The opposite angles in a parallelogram are congruent, then
5x - 9 = 3x + 11 ( subtract 3x from both sides )
2x - 9 = 11 ( add 9 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
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:
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
7th graders that can play guitars are:
So, the probability is:
<span>(y^5)^2 = y^10
This is power of a power property</span>
