Answer:
47.4 ;
50
Step-by-step explanation:
Given the data :
X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139
The smallest class interval :
Range / number of classes
Number of classes to use = 5
Range = Maximum - Minimum = (322 - 85) =237
Hence, smallest class interval :
237 / 5 = 47.4
A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense
Hence, smallest class interval rounded to the nearest 10 :
47.4 = 50 (nearest 10)
Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
<h3>What is the Length of an Arc?</h3>
The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
Arc length = ∅/360 × 2πr
Since the sector formed is a quarter circle, then ∅ = 90°.
Raidus (r) = 70 ft
Distance from the starting point to the return point = arc length.
Arc length = ∅/360 × 2πr = 90/360 × 2π(70)
Arc length = 109.9 feet
Therefore, based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
Learn more about the arc length on:
brainly.com/question/2005046
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Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.
<span>1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
One die can show the values 1-6, while the other die can only show 0 or 6. So the possible totals are 1 through 6 plus 0 and 1 through 6 plus 6. Written out, one-by-one, this gives:
1+0 = 1
2+0 = 2
3+0 = 3
4+0 = 4
5+0 = 5
6+0 = 6
1+6 = 7
2+6 = 8
3+6 = 9
4+6 = 10
5+6 = 11
6+6 = 12</span>
C. Both options A and B will allow him to meet his goal.
_____
On his original plan, he is $30 short. (A) By delaying his class 1 week, he can add one more payment, so will have $95 more than he needs. (B) By increasing his payment $15 each week for the remaining 2 weeks, he will have exactly the amount he needs to take the class at the time he originally wanted.
