Since these are box plots, they're based on a lot of data, and we cannot say for certain whether something will be true, but it can give us a good idea. So this means that options A & B are out, since they say 'will always', but we can never say for sure with box plots.
The boxes of the box plot represent basically the average of the data. The beginning of the box is the first quartile, the end of the box is the third quartile, and the line in the middle is the median, which is the middle of the data. Since the box in the box plot of Design A is greater than the box in the box plot of Design B, we can say it's likely that candle Design A will last longer than candle Design B, or option C.
(199-55)/9= t
Let t equal the number of hours you have to work
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:
1:4 or 1/4
Step-by-step explanation:
9 cm : 36 cm
They both can be divided by 9 so,
9 ÷ 9 : 36 ÷ 9
= 1 : 4
Hope this helps
Answer: x=7
Step-by-step explanation:
3x=21
21 divided by 3 is 7
so x equals 7
