Divide the compound object.
We have minor object and major object
Volume of object 1 = LWH
= 5 x 5 x 3
= 75 in ^3
Volume of object 2 = LWH
= 12 x 8 x 3
= 288 in^3
Add the volumes of both object
288 + 75 = 363 in^3
Therefore the answer is option D
Answer:
a) 45 possible outcomes
b) 55 possible outcomes
Step-by-step explanation:
Given:
- Total cavities = 12
- Selection = 3 parts
- Non-conforming cavities = 2
Find:
a) How many samples contain exactly 1 nonconforming part?
b) How many samples contain at least 1 nonconforming part?
Solution:
- The question asks for the use of combinations to express the outcomes for each scenario.
- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.
( Exactly 1 ) 10C2 = 45 possible outcomes
- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:
( Exactly 2 ) 10C1 = 10 possible outcomes
- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:
(At-least 1 ) = ( Exactly 1 ) + ( Exactly 2 )
(At-least 1 ) = 45 + 10 = 55 possible outcomes
Answer:
<h2>5 1/4</h2>
Step-by-step explanation:
3 1/2 = 6/2 + 1/2 = 7/2
He drinks 3 1/2 liters every 2/3 hour means
He drinks (7/2)×(3/2) = 21/4 = 5 1/4 liters in one hour.
:)
Answer:
The answer is the third bullet. (number 3)