Answer:
C.
Step-by-step explanation:
The formula for a cylinder is V = (pi) (r^2) (h) so 12*12 is 144. 144*pi*17 is 2448 pi units cubed.
Cavalieri's Rule tells us that it doesn't matter if the shape is oblique or not, the volume is still found using the regular volume formula. For a pyramid, this formula is V = 1/3 Bh, with B being the area of the base which is a rectangle. The area is 10*12 which is 120, and the height is given as 8. So the volume is V = 1/3 * 120 * 8, which is 320 units cubed.
Answer:
Probability distribution
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Step-by-step explanation:
When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are
Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}
The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:
X Outcomes P(X)
0 HHH 1/8
1 HHT,THH,HTH 3/8
2 TTH,HTT,THT 3/8
3 TTT 1/8
The probability distribution of X is as under:
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
