Answer:
3,847.40376
Step-by-step explanation:
Volume of a sphere=
4/3π(11)³=5,575.27976
Volume of a cylinder=
π(5)²(22)=1,727.876
Total volume=
5,575.27976-1,727.876=3,847.40376
Answer:
A) 5x-6y=3
B) 7y=2x+8
B) -2x + 7y = 8 then multiplying "B" by 2.5
B) -5x +17.5y = 20 then adding this to A
A) 5x -6y = 3
11.5y = 23
y = 2
x = 3
Step-by-step explanation:
Answer:
ratio of GEOM to TEYR is ![\frac{6}{4}:1](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3A1)
Therefore OE is equal to:
![8\cdot\frac{6}{4}](https://tex.z-dn.net/?f=8%5Ccdot%5Cfrac%7B6%7D%7B4%7D)
![=12](https://tex.z-dn.net/?f=%3D12)
12 units is the length of OE, so the final answer is:
12.0 Units.
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
</span>