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Verizon [17]
2 years ago
12

Use distributive property to simplify (m-5)4

Mathematics
2 answers:
Blababa [14]2 years ago
8 0

Answer:

4m-20

Step-by-step explanation:

(m - 5)4 \\  = m \times 4 +  - 5 \times 4 \\  = 4m - 20

Romashka-Z-Leto [24]2 years ago
7 0
Hey can you help me with 6 problems ?
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The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly
Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between \\ (\mu - 6\sigma) and \\ (\mu + 6\sigma). It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027

For those with defects <em>operating at a 6 sigma level, </em>the probability is:

\\ 1 - p = 1 - 0.999999998027 = 0.000000001973

Similarly, for finding <em>no defects</em> in a 5 sigma level, we have:

\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697.

The probability of defects is:

\\ 1 - p = 1 - 0.999999426697 = 0.000000573303

Well, the defects present in a six sigma level and a five sigma level are, respectively:

\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}

\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}  

Then, comparing both fractions, we can confirm that a <em>6 sigma level is markedly different when it comes to the number of defects present:</em>

\\ {6\sigma} \approx \frac{2}{10^9} [1]

\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9} [2]

Comparing [1] and [2], a six sigma process has <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.

8 0
2 years ago
Need help asap please! If f(x)=7x and g(x)=3x+1 find (f o g)(x) A.10x+1 B.21x+1 C.21x^2+7x D.21x+7
Elanso [62]

Replace the x in 7x by (3x + 1):-

(f o g)(x) = 7 * (3x + 1)

= 21x + 7   which is choice D.

3 0
3 years ago
Read 2 more answers
On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).
Kazeer [188]

Answer:

A C D

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Someone needs to hear this. So here it is. God will pull you through. You just need to have faith. You just have to keep going.
vagabundo [1.1K]

Answer: thank you

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
10. 2x + 7y = 1<br> 2x - 4y = 12<br> Solve for y
adoni [48]

Answer:

The solution for y = -1.

Step-by-step explanation:

Given:

2x\ +\ 7y\ =\ 1    ....(1)

2x\ -\ 4y\ =\ 12  ....(2)

So, to solve for y, first we solve for x in equation (2):

2x-4y=12

⇒2x=12+4y

Dividing both sides by 2,

⇒x=6+2y            

Now, substituting the value of x  in equation (1):

2x+7y=1

⇒2(6+2y)+7y=1

⇒12+4y+7y=1

⇒12+11y=1

⇒11y=1-12

⇒11y=-11

Dividing both sides by 11,

⇒y=-1

Therefore, the solution for y = -1.

7 0
2 years ago
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