if the tolerance for a process is 10 standard deviations and the standard deviation for the process is 6, what is the sigma level? 5 6 3 1

Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

(a) To find the volume, we use the circular ring method, considering infinitesimally thin rings and integrating the difference of their radii.

(b) To find the volume, we use the cylindrical shell method, considering infinitesimally thin vertical strips and integrating their volumes.

(a) We want to calculate the volume of the solid obtained by revolving the region between the parabolas x = y – y^2 and x = y^2 - 3 about the line x = -4. Using the circular ring method, we consider infinitesimally thin rings with radii determined by the distance between the parabolas and the line of revolution.

By approximating the volume of each ring as π(r₁² - r₂²)Δr, where r₁ and r₂ are the outer and inner radii, respectively, and integrating this expression over the range of radii, we can obtain the total volume of the solid.

(b) To determine the volume of the solid obtained by revolving the region between the parabolas x = y – y^2 and x = y^2 - 3 around the line x = -4, we employ the cylindrical shell method. By considering infinitesimally thin vertical strips with heights determined by the range of y-values and widths defined by the difference in x-coordinates of the parabolas at each y-value,

we approximate the volume of each strip as 2πy(Δx)yΔy. Integrating this expression over the range of y-values will yield the total volume of the solid.


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Answer:  37.5 minutes

Step-by-step explanation:

1. divide 52 by 13

52/13 = 4

2. take divide 150 (minutes in 2.5 hours) by 4

150/4 = 37.5

your answer is 37.5 minutes

ok done...........................

Answer:

Step-by-step explanation:

First, we use alternating angles which makes (8x -34) = (5x + 2)

8x - 34 = 5x + 2

Then we collect similar terms

8x - 5x = 2 + 34

3x = 36

x = 12

Since ∠DEF is 5x + 2 and x is 12

Sub x into the expression

5(12) + 2

60 + 2 = 62

∴ ∠DEF = 62°

There are approximately 2425 of those intervals that will contain the population means.

A confidence interval is a range of values that includes a parameter estimate with a certain degree of certainty. A confidence interval is a measure of uncertainty about an estimation procedure, rather than a statement about a parameter. A confidence interval is a specific value or a range of values in statistics that is used to estimate population characteristics.

This is because a 97% confidence interval means that if we were to repeat the sampling process many times, about 97% of the resulting intervals would contain the population mean. In other words, we would expect 97% of the intervals to be "correct" in the long run, while about 3% of them would not contain the population mean.

Therefore, out of the 2500 intervals we compute, we would expect approximately 0.97 x 2500 = 2425 intervals to contain the population mean, and about 0.03 x 2500 = 75 intervals not to contain the population mean. However, it's important to note that the actual number of intervals that contain the population means may vary from this expected value due to random sampling variability.

Where, \(\[\bar{x}\]\) is the sample mean

\(\[\frac{s}{\sqrt{n}}\]\) is the standard error of the mean

zα/2 is the z-score that covers α/2 in the tails of a normal distribution.

As we draw 2500 samples of size 100 from a population and compute a 97% confidence interval for each sample, the proportion of the sample will contain the population means.

Therefore, the number of intervals that will contain the population mean is approximately 2425.

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The total yield for an acre, T, in pounds as a function of the number of walnut tree per acre, x is given by T = -1.5x² + 95x.

In order to solve this word problem, we would assign variables to the number of walnut tree per acre and total yield for an acre, and then translate the word problem into algebraic equation as follows:

Mathematically, the total yield for an acre can be calculated by using this mathematical expression:

Total yield for an acre (T) = yield of each tree × number of trees per acre

Substituting the given parameters into the mathematical expression, we have the following;

Total yield for an acre (T) = [50 - 1.5(x - 30)] × x

Opening the bracket, we have:

Total yield for an acre (T) = [50 - 1.5x + 45] × x

Total yield for an acre (T) = 50x - 1.5x² + 45x

Next, we would rearrange the function by collecting like terms and simplifying as follows:

Total yield for an acre (T) = -1.5x² + (50x + 45x)

Total yield for an acre (T) = -1.5x² + 95x

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Answer:tbh i think the answer H

Step-by-step explanation:

Jean and Jonathans' age illustrate arithmetic sum, and the sum of their ages in three years time is x + y + 6

Currently, their ages are:

Jean = x

Jonathan = y

In 3 years, their ages would be:

Jean = x + 3

Jonathan = y + 3

So, the sum of their ages is:

Sum = x + 3 + y + 3

Evaluate

Sum = x + y + 6

Hence, the sum of their ages in three years time is x + y + 6

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The complete sequence is:

20, 0.6, 41.6667, 69.4444, 12, 500.

To find the missing numbers in the given sequence, let's analyze the pattern and fill in the gaps.

Looking at the sequence, we can observe that there is an exponential pattern occurring.

Let's break it down step by step:

Starting with the first number, 20, we can see that each subsequent number is decreasing or increasing exponentially.

If we divide the second number by the first number, we get 12/20 = 0.6. Similarly, dividing the third number by the second number gives us 500/12 = 41.6667.

We can see that there is a decreasing exponential pattern from the first to the third number.

Let's continue this pattern:

If we divide the fourth number by the third number, we get an approximate value of 41.6667/0.6 = 69.4444.

So, we can deduce that the missing numbers in the sequence are approximately 0.6, 41.6667, and 69.4444.

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Answer:

the answer is r (‑1)/​(6*​x)-​2.1

Step-by-step explanation:

The total value of the furniture she sold is $4400.

Let the remaining sales be represented by x.

She receives 10% of her first $900 in sales and 15% of the balance of her sale.

This will be:

(10% × $900) + (15% × x) = 750

90 + 0.15x = 750

Collect like terms

0.15x = 750 - 90

0.15x = 660

Divide

x = 660/0.15

x = 4400

Therefore, the total value is $4400.

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Answer:

6(x - 3 ) = 6x - 18

2(3x - 3) = 6x - 6

Step-by-step explanation:

Answer:

45 yards and 176 yards

Step-by-step explanation:

Perimeter of a rectangular playing field = 2(Length + width)

P = 2(L+W)..................... Equation 1

From the question,

Let the width of the rectangular playing field = x yards,

The the Length = 4x-4 yards.

Given: P = 442 yards.

Substitute these values into equation 1

442 = 2(4x-4+x)

442/2 = 5x-4

221 = 5x-4

5x = 221+4

5x = 225

x = 225/5

x = 45 yards.

Width = 45 yards.

Length = (45×4)-4 yards = 176 yards

Hence the dimensions of the playing field are, 45 yards and 176 yards

Answer:

Step-by-step explanation:

=22.068

Answer:

5

Step-by-step explanation:

actual answer 4.69766713281

The width of the river is approximately 57.0 meters. To find the width of the river, we can use the concept of trigonometry and apply the tangent function.

Let's denote the width of the river as "w". The farmer walks along the river bank, which we'll call the adjacent side (A) with a length of 100 meters. The angle between the tree (opposite side, O) and the river bank is given as 35.0 degrees.

Using the tangent function, we have the equation:

tan(angle) = opposite side / adjacent side

tan(35.0°) = O / 100

To find the width of the river, we need to solve for O. Rearranging the equation, we have:

O = tan(35.0°) * 100

Using a calculator, we can find the value of tan(35.0°) to be approximately 0.7002. Substituting this value into the equation, we get:

O ≈ 0.7002 * 100

O ≈ 70.02 meters

Therefore, the width of the river is approximately 70.02 meters.

Please note that the precision of the result is based on the given angle measurement and the accuracy of the tangent function calculation.

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The complement of an angle is 50 more than the measure of the angle are 20 and 70 degrees.
Two angles are said to be complimentary if their sum is 90 degrees.

We have two angles, x and x+50 more than its complement, so we can write:

Let the first angle be x.

Let the second angle be x+50.

x+ x + 50 = 90
2x +50 = 90

2x = 90-50

2x = 40

x = 20

The first angle is 20 degrees.
the second answer is x+50= 20+50= 70 degrees.

Both angle measures are 20 and 70.
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Step 1

Write the slope, y-intercept form of the equation of a line.

Answer:

Okay, here are the steps to find the total balance in Mia's account in January 2019:

Mia deposited $1,200 in January 2007. This is the initial principal balance.

The interest rate is 3% per year, compounded annually.

In January 2008, the balance will be $1,200 * 1.03 = $1,236. (Interest is 3% of $1,200)

In January 2009, the balance will be $1,236 * 1.03 = $1,273.96

In January 2010, the balance will be $1,273.96 * 1.03 = $1,316.59

In January 2011, the balance will be $1,316.59 * 1.03 = $1,362.81

In January 2012, the balance will be $1,362.81 * 1.03 = $1,411.59

In January 2013, the balance will be $1,411.59 * 1.03 = $1,463.72

In January 2014, the balance will be $1,463.72 * 1.03 = $1,518.23

In January 2015, the balance will be $1,518.23 * 1.03 = $1,574.97

In January 2016, the balance will be $1,574.97 * 1.03 = $1,634.92

In January 2017, the balance will be $1,634.92 * 1.03 = $1,697.05

In January 2018, the balance will be $1,697.05 * 1.03 = $1,761.44

In January 2019, the balance will be $1,761.44 * 1.03 = $1,828.78

Therefore, the total balance in Mia's account in January 2019 is $1,828.78

Step-by-step explanation:

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given the perimeter function

P = 2S + 2L

we are expected in this problem to change the subject of the formula to S

Step two:

firstly, let us isolate the term that has S

2S=P-2L

divide both sides by 2

2S/2= (P-2L)/2

S=P/2-L

S = 1/2p - L

The volume of the pyramid is 3.5 cubic centimeters.

The volume of a pyramid can be calculated using the formula:

V = (1/3) * Base area * Height

Where Base area is the area of the base of the pyramid, and Height is the distance from the base to the apex of the pyramid.

Given that the area of the base of the pyramid is 4.6 cm^2 and the height of the pyramid is 2.3 cm, we can substitute these values into the formula and solve for the volume:

V = (1/3) * 4.6 cm^2 * 2.3 cm = 3.53 cm^3

So the volume of the pyramid is 3.53 cubic centimeters. Rounded to the nearest tenth of a cubic centimeter, the volume is 3.5 cm^3.

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Answer:

there are 5

Step-by-step explanation:

Therefore, the number of moles of \(CO_2\) released when combusting one mole of each substance is: Methane: 1 mole of \(CO_2\); Octane: 8 moles of \(CO_2\); Pure Carbon: 1 mole of \(CO_2\).

To determine the number of moles of \(CO_2\) released when combusting one mole of methane (\(CH_4\)), octane (\(C_8H_{18\)), and pure carbon (C), we need to balance the combustion reactions for each substance. The balanced combustion reactions are as follows:

Combustion of Methane (\(CH_4\)):

\(CH_4 + 2O_2 - > CO_2 + 2H_2O\)

From the balanced equation, we can see that for every one mole of methane, one mole of \(CO_2\) is produced.

Combustion of Pure Carbon (C):

C + O2 -> CO2

From the balanced equation, we can see that for every one mole of pure carbon, one mole of CO2 is produced.

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Answer:

7.9

Step-by-step explanation:

Volume = side · side · side

∛496 = 7.915783219

The Comparison is 2 yards is more than 40 inches.

Unit conversion is a multi-step process that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor.

We have Compare 2 yards or 40 inches.

As, 1 yard = 36 inches

and, 2 yards = 2 x 36

                     = 72 inches

So, 2 yards is more than 40 inches.

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The percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.The number of cookies in a shipment of bags is normally distributed, with a mean of 64 and a standard deviation of 4.

What percentage of bags of cookies will contain between 64 and 68 cookies

When X is normally distributed with mean µ and standard deviation σ, the z-score formula can be used to find the probability that X is between two values.

Z = (X - µ) / σ

First, we convert both 64 and 68 to z-scores:

Z for 64 cookies = (64 - 64) / 4 = 0Z for 68 cookies = (68 - 64) / 4 = 1

Next, we find the probability that X is between these two z-scores using a standard normal distribution table or calculator:

Prob (0 < Z < 1) = 0.3413 - 0.5(0) - 0.159

= 0.1823

So, the percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.

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Here, Statement a) B is more stable than A  is correct, while statements b), c), and d) are incorrect.

Lindane, also known as gamma-hexachlorocyclohexane, exists as a mixture of two stereoisomers. These stereoisomers have different chair conformations, often referred to as conformer A and conformer B. I will describe these conformations to help you analyze the statements provided.

Conformer A: In conformer A, one of the chlorine atoms is positioned in an axial (up) position, while the other five chlorine atoms are in equatorial (outward) positions. This arrangement is less stable due to steric hindrance caused by the axial chlorine atom, which experiences stronger interactions with neighboring groups.

Conformer B: In conformer B, the axial and equatorial positions of the chlorine atoms are interchanged compared to conformer A. The chlorine atom that was previously axial is now equatorial, and vice versa. This arrangement reduces the steric hindrance, leading to a more stable conformation.Now, let's analyze the provided statements:

a) B is more stable than A:

This statement is correct. Conformer B is indeed more stable than conformer A because it minimizes steric hindrance by placing the chlorine atoms in more favorable positions.b) A is more stable than B:

This statement is incorrect. As explained above, conformer B is more stable than conformer A.

c) A is not the correct representation of Lindane:

This statement is incorrect. Both conformers A and B are valid representations of Lindane, and the compound exists as a mixture of these conformations.

d) The two chair conformations of Lindane are degenerate:

This statement is incorrect. Degenerate conformations have the same energy level. In the case of Lindane, conformer B is more stable than conformer A, indicating that they have different energy levels and are not degenerate.

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