Answer:16.50
Step-by-step explanation: hope it helps
Answer:
- 1/24
Step-by-step explanation:
Keep multiplying by -1/2 to find the 'next' term
1/12 * - 1/2 = - 1/24
Answer:
It is +2 or since (+2)*(+2 ) gives. If you think that it would be (-2) also then you are wrong because root of a positive rational number is always positive number.
Step-by-step explanation:
Let the square root of four be ‘k’.
Then we have
(4)^1/2=k
(Squaring both sides)
4=(k)^2
=>(k)^2–4=0
=>(k)^2-(2)^2=0
=>[k+2][k-2]=0 {since (a)^2-(b)^2=(a+b)(a-b)}
if product of two numbers is 0 then either of one must be zero.
If k+2=0 then k=-2
If k-2=0 then k=2
From here we got two answers but -2 should be omitted because when we square an equation we add “root extra”which means that when we square an equation one root is added.
Don't study your heart out, but study here and there and don't stress.
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
