Answer:
Step-by-step explanation:
Given
Straight Line, PS
Such that
Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that
Substitute and
Collect like terms
Hence, the length of PS is
Answer:
The answer is explained below
Step-by-step explanation:
STEP 1
Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.
STEP 2
Manager can define the performance of a product using defects per million units DPMO metric
DPMO can be find by using
DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000
= 1500 - 1477/ 1 x 1500* 1,000,000
= 23/1500
= 15,333,33
The defect rate of the process can be find by
Defect rate = No. of defects/ No. of units * 100
= 1500 - 1477/1500 * 100
= 23/1500 * 100
= 1.53%
Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
Answer: The absolute advantage in laundry is held by Steve while the comparative advantage in meal preparation is held by Mike.
Step-by-step explanation:
Absolute advantage is when an individual, firm or country can produce a good or service at a lower cost when compared to the other economic agent. When someone has absolute advantage, it means that the person uses fewer resources and spends less time in producing the good. Based on the explanation, Steve has absolute advantage in laundry since he spends two hours compared to Mike who uses 3hours.
Comparative advantage is when an individual, firm or government can produce a good or service with a lower opportunity cost when compared to the other person. Mike has a comparative advantage in the preparation of meal. It'll be better for Steve to focus his attention on laundry while Mike does the meal.
Let number of yellow marbles = x
Let number of red marbles = y
Let number of blue marbles = z
Given that Finley has 152 yellow, red, and blue marbles in a bag.
So we get equation:
x+y+z=152...(i)
"He has seven more red marbles than yellow marbles" means:
y=x+7...(ii)
"three times as many blue marbles as yellow marbles." means:
z=3x...(iii)
Now we just need to solve those equations to find the answer.
Plug (ii) and (iii) into (i)
x+(x+7)+(3x)=152
x+x+7+3x=152
Which looks similar to choice (B)
5x+7=152
5x=145
x=29
Hence final answer is choice B.
Required equation is
x+x+7+3x=152
Number of yellow marbles = 29
