Answer:
Step-by-step explanation:
(b)
(i)
(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point.
<u>The number of candidates passed the test:</u>
(iii) P(pass) = 323/500 = 0.626 or 62.6%
11a^3 + 6 - (-7a^3 + 7)....distribute the - through the parenthesis
11a^3 + 6 + 7a^3 - 7....combine like terms
18a^3 - 1 <===
9514 1404 393
Answer:
414.5 cm³
Step-by-step explanation:
The lateral area of a cylinder is given by the formula ...
LA = 2πrh
Then the radius is ...
r = LA/(2πh)
The volume of the cylinder is given by ...
V = πr²h
Using the above expression for r, this becomes ...
V = π(LA/(2πh))²h = LA²/(4πh)
V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³
The volume of the cylinder is about 414.5 cm³.