3x - 1/5= x+1/3 Could you please solve this as soon as possible
1 answer:
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Answer:
2.16
Step-by-step explanation:
The question is on mean absolute deviation
The general formula ,
Mean deviation = sum║x-μ║/N where x is the each individual value, μ is the mean and N is number of values
<u>Team 1</u>
Finding the mean ;
Points Absolute Deviation from mean
51 2
47 2
35 14
48 1
64 15
<u>Sum </u> 34
Absolute mean deviation = 34/5= 6.8
<u>Team 2</u>
Finding the mean
Points Absolute deviation from the mean
27 15.8
55 12.2
53 10.2
38 4.8
41 1.8
<u>Sum 44.8 </u>
Absolute deviation from the mean = 44.8/5 =8.96
Solution
Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16
Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
- L is its length
- W is its width
- H is its height
The volume of the cone is V = π r² h, where
- r is the radius of its base
- h is its height
∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = diameter =
(4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones