1) Convert the mixed number 8 and 2/13 into a fraction:
8 and 2/13 = 8 + 2/13 = (8*13 + 2) / 13 = 106 / 13
2) Calculate 4/5 of 106 / 13
(4 / 5) * ( 106 / 13) = (4*106) / (5*13) = 424 / 65
That is (390 + 34) / 65 = 390/65 + 34/65 = 6 + 34/65 is painted white
3) Calculate the rest
(1/5) * (106 / 13) = 106 / 65 = 1 + 41/65 is painted blue
The proportion of buses traveling more than 900 miles would be 0.0485; multiply this by the total number of buses and you will have your answer.
We find the z-score associated with 900 miles:
z = (X - μ)/σ = (900-830.11)/42.19 = 1.66
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this, less than this, is 0.9515. This means that the area under the curve to the right of this, greater than this, would be 1-0.9515 = 0.0485.
Answer:
10 inches
Step-by-step explanation:
They're 36 degrees, so corresponding angles are the same, so the middle line is parallel to the bottom line of the triangle.
But the middle line bisects one of the waist lines of the triangle, so this is the middle line, which is equal to half the length of the bottom line
Hi there!
To solve this problem, you need to use the distributive property. You distribute the 4 inside the parenthesis as well as the 5.
Hope this helps!
