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
Because in the money market the money can be withdrawn in any moment buy in the certiicates of deposit there is a maturity date, that is when money can be withdrawn.
<span>2x-1/4(12x+4)=3
</span>⇒ 2x -1/4*(12x) -1/4*4= 3 (distributive property)
⇒ 2x -3x -1= 3
⇒ -x= 3+1
⇒ -x= 4
⇒ x= -4
<span>
Final answer: x=-4~
</span>
Answer:
51.08 in.²
Step-by-step explanation:
S.A = (l x b) + (l × h) + (b × h)
= (8.2 in. × 3.4 in.) + (8.2 in. × 2 in.) + (3.4 in. × 2 in.)
= 27.88 in.² + 16.4 in.² + 6.8 in.²
= 51.08 in.²
Answer:
The probability of rolling an even number on a fair, six-sided die is 3/6 = 1/2, which results from three of the six possibilities of {1, 2, 3, 4, 5, 6} being even numbers.
Step-by-step explanation:
