All categories

2 years ago

The two popular measures for quantitatively determining if a process is capable are

Mathematics

1 answer:

dmitriy555 [2]2 years ago

3 0

Answer:

Step-by-step explanation

Process capabilitty ration and process capability index are statistical tools which are often used to produced output within a limit.

You might be interested in

Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2

Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

$\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)$ .

The sine difference identity is:

$\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a)$ .

The cosine addition identity is:

$\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b)$ .

The cosine difference identity is:

$\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b)$ .

We need to find a way to put some or all of these together to get:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$ .

So I do notice on the right hand side the $\sin(a+b)$ and the $\sin(a-b)$ .

Let's start there then.

There is a plus sign in between them so let's add those together:

$\sin(a+b)+\sin(a-b)$

$=[\sin(a+b)]+[\sin(a-b)]$

$=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]$

There are two pairs of like terms. I will gather them together so you can see it more clearly:

$=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]$

$=2\sin(a)\cos(b)+0$

$=2\sin(a)\cos(b)$

So this implies:

$\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)$

Divide both sides by 2:

$\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)$

By the symmetric property we can write:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$

3 0

2 years ago

In the diagram below, point M is the midpoint of line JK. What are the coordinates of point J.

mariarad [96]

The diagram isn’t there not

6 0

3 years ago

Read 2 more answers

asma owns $52000 in student loans for college. if the loan will be repaid in 5.5 years and the interest rate charged is 6.75% th

Ahat [919]

I=$52,000 R=6.75% T=5.5 years P=$19,305

3 0

2 years ago

PLZZ HELP ASAP!!!!!

Lelu [443]

Answer:

The answer is 7(8 + 3)

Step-by-step explanation:

7 x 8 = 56

7 x 3 = 21

pls mark brainlyest:)

4 0

2 years ago

Read 2 more answers

Colin took out a loan with a principal of $32,800. After five years, the interest and the principal totaled $48,872. If Colin ma

yulyashka [42]

C hope that can help you

8 0

2 years ago