To find the median, we will list our numbers from least to greatest, and then cross out the smallest number and the biggest number. 0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50. 0,1,3,3,4,5,5,7,7,7,7,7,10,18. 1,3,3,4,5,5,7,7,7,7,7,10. 3,3,4,5,5,7,7,7,7,7. 3,4,5,5,7,7,7,7. 4,5,5,7,7,7. 5,5,7,7. 5,7. Since we cannot find a middle number, add the last two numbers up and divide by 2. 5+7 = 12. 12/2=6. Our median is 6. The mean is the sum of all numbers divided by how many numbers we have. 0+0+1+3+3+4+5+5+7+7+7+7+7+10+18+50= 132. We have 16 numbers total. 132/16 = 8.25. Our mean is 8.25. The mode is the number that appears the most within the given list. 7 appears the most. Your mode is 7. The range is the difference between the largest number and the smallest number. Our largest number is 50 and our smallest number is 0. The difference of two numbers means to subtract. Subtract 0 from 50. 50-0 = 50. Your range is 50. I hope this helps!
3.4 hours. The efficiency of a worker is the amount of work divided by time needed. The efficiency of Sanjay alone is 500/6, and the efficiency of Felipe alone is 500/8. When they work together, their combined efficiency is 500/6+500/8=3500/24. Therefore, they need 500/(3500/24)=24/7=3.4 hours.
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle: