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
Using proportions, it is found that Diego traveled 15 miles in the cross-town cab ride.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, for the miles traveled, Diego paid 18.50 - 2.25 = $16.25. Considering the fee of $1.25 per mile, the distance he traveled is given by:
d = 16.25/1.25 = 15.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
(x + 8) (x - 8)
Step-by-step explanation:
To factorise the expression follow the steps:
Think the factorising means you want like:-
( x + _ ) ( x + _ )
Now, add the numbers to get 0 & multiple together to get -64
-64 = 8 x -8
8 + -8 = 0
Now fill the numbers in the factorising mean which will give you,
( x + _ ) ( x + _ ) --> ( x + <u>8</u> ) ( x - <u>8</u> )
Therefore, the answer will be: ( x + <u>8</u> ) ( x - <u>8</u> )
I hope this will help you :)
<span>Find the square root of 2 between 1.3 and 1.4
=> Square root of 2 is 1.4
Square root is a number that is multiplied twice like x2, y2
=> 1.4 is the square root of 2
Now, let’s check if we got the correct answer:
=> 1.4 * 1.4
=> 1.96 or rounded to 2
Notice that the square root of 2 is a decimal number, this is called not perfect squares.
Perfect square root are those with whole numbers answers.
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