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:
When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:
Mood killer
Answer:
Therefore the inequality that represents her practice in four weeks is:
Step-by-step explanation:
Mary practiced the piano for two or more each week, in other words the number of hours practiced in a week must be equal or greater than 2. A math expression that can represent this situation can be seen below:
The problem wants us to write an inequality to state how many hours she practiced in four weeks. In order to do this, we need to multiply the number of hours she practiced in a week, given by the last expression, by four. We have:
Therefore the inequality that represents her practice in four weeks is:
Answer:
Step-by-step explanation:
1) Multiply both sides by 3.
2) Use this rule: a/b × c = ac/b.
3) Simplify 4 × 3 to 12.
4) Simplify 12/9 to 4/3.
Therefor, the answer is, t = 4/3.
and in decimal form it would be, 1.333333.