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2 years ago

I giving 10 pts . Pls help me . I may mark you as a brainliest.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

6 0

Answer:

C. $108

Step-by-step explanation:

Let;

Total amount = x

Brenda = (4/14)x = y

equation 1

4x = 14y

x = 14y/4

equation 2

Tina and Rita = (3/14)x + (7/14)x = y + 162

10x/14 = y + 162

10x = 14(y+162)

10x = 14y+2268

10*(14y/4) = 14y+2268

140y/4 = 14y+2268

140y = 4(14y+2268)

140y = 56y+9072

140y-56y = 9072

84y = 9072

y = 9072/84

y = 108

But;

x = 14y/4

x = (14*108)/4

x = 378

Brenda = 4/14 * 378 = 108

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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

Drag the numbers to order them from least to greatest. 2/3 -4 1/2 1/4 -1/2 2 1/3

kotegsom [21]

The larger the negative number the smaller the value:

The order would be:

-4, -1/2, 1/4, 1/3, 1/2, 2/3, 2

5 0

2 years ago

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This diagram shows triangles ABC and PQR.

Stels [109]

Answer:

<h3>A reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.</h3><h3>Step-by-step explanation:</h3>

We know that the first transfomration is a rotation 90° clockwise.

Notice that vertex R is at the same horizontal coordinate than vertex C, which means the second transformation must include a reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.

6 0

2 years ago

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5

stich3 [128]

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

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2 years ago

What is the purpose of a FICA tax? 1. It provides health insurance for people who are retired or disabled. 2. It helps the state

ValentinkaMS [17]

Well...it goes towards the funding of social security and medicare...so I am thinking it is the first answer choice

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2 years ago

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