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3 5 Write an expression that is equivalent to 3/5 (3y + 15).

A:3/5 y + 9
B:3/5 y + 15
C:9/5 y + 9
D:9/5 y + 15​

The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)

In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.

In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.

Therefore, the correct answer is C. 0.165.

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The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. If the system is inconsistent, it has no solution. If the system is dependent, it has infinitely many solutions.

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. To check for consistency, the equations must be solved and the solutions compared. If all the solutions are the same, then the system is consistent and has one unique solution. If the solutions are different, then the system is inconsistent and has no solution. If all variables are linearly dependent, then the system is dependent and has infinitely many solutions. To determine if the variables are linearly dependent, one must check for a linear combination of the variables that yields the zero vector. If the linear combination exists, the system is dependent and has infinitely many solutions.

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Answer:

A. D.

Step-by-step explanation:

Visual Examples to help!

Answer:

2(29D-28adn-29)

Step-by-step explanation:

Answer:

Length of Rectangle is 3 cm less than twice the width

Area is 44 m2 ; let W = width;  2W - 3 = Length

Arect = L times W

44 = W ( 2W - 3 )

44 = 2W2 - 3W

0 = 2W2 - 3W - 44

Factoring

0 = ( 2W - 11 )( W +4)

2W - 11 =0   ;            W + 4 = 0

       W = 11/2                 W = -4  (width can not be a negative number)

Therefor: width is 11/2  and length is 8

The sample proportion will have the smallest p-value is for Z=3 that can be calculated by taking comparisons between Z=1,2 and 3.

Null hypothesis H0= P=0.45

Alternative hypothesis H1= P>0.45

The null hypothesis assumes that any form of distinction among the selected traits which you see in a fixed of records is because of chance. For example, if the predicted income for the playing recreation are truely same to 0, then any distinction among the common income withinside the records and 0 is because of chance.

H=1000, x1=500, x2=600 and x3=700

P1= x1/h=500/1000=0.5

P2=x2/h=600/1000=0.6

P3=x3/h=700/1000=0.7

Z1=P1-P/(P(1-P)/h)61/2 = 0.5-0.45/(0.45*0.55/1000)^1/2 = 0.32

P-value for Z1=P(Z1>0.32)=0.37748

Z2=P2-P/(P(1-P)/h)61/2 = 0.6-0.45/(0.45*0.55/1000)^1/2 = 0.95

P-value for Z2=P(Z2>0.95)=0.17106

Z3=P3-P/(P(1-P)/h)61/2 = 0.7-0.45/(0.45*0.55/1000)^1/2 = 1.59

P-value for Z3=P(Z3>0.95)=0.055917

Thus, the smallest P-value will be for Z3.

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Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

\(6^{3x} = 216\)

\(6^{3x} = 6^3\)

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

\(3^{x - 4} = 243\)

\(3^{x - 4} = 3^5\)

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

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To solve this problem, we can use the concept of the sampling distribution of the sample mean. The mean number of cups of coffee consumed in a day by all occupants is 2.0 with a standard deviation of 0.6.  Since the sample size is large (125 employees) and the population standard deviation is known, we can approximate the sampling distribution of the sample mean as a normal distribution.

The mean of the sampling distribution is equal to the population mean, which is 2.0 cups per day  Now, we need to calculate the z-score for the value of 240 cups per day using the formula:

z = (x - μ) / σ,

where x is the desired value (240 cups per day), μ is the mean of the sampling distribution (2.0 cups per day), and σ is the standard deviation of the sampling distribution (0.6 / sqrt(125)).

Plugging in the values, we have:

z = (240 - 2) / (0.6 / sqrt(125)) ≈ 58.01.

Finally, we can use a standard normal distribution table or a calculator to find the probability of obtaining a z-score greater than 58.01. However, since this z-score is extremely large, the probability will be very close to zero.

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Answer:

Midpoint = \((3, 6)\)

Step-by-step explanation:

Use the Midpoint Formula to help you determine the midpoint of the two following points:

\((\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})\)

(where \((x_{1}, y_{1})\) is the first point and \((x_{2}, y_{2})\) is the second point)

-Apply the following the points onto the formula:

\((x_{1}, y_{1}) = (7, 3)\)

\((x_{2}, y_{2}) = (2, 9)\)

\((\frac{7 + 2}{2}, \frac{3 + 9}{2})\)

-Solve the equation:

\((\frac{7 + 2}{2}, \frac{3 + 9}{2})\)

\((\frac{9}{2}, \frac{12}{2})\)

\(\boxed {(3, 6)}\)

So, the midpoint is \((3, 6)\).

Answer:

(4.5,6)

Step-by-step explanation:

Just did it on delta.

Answer:

n=82

Step-by-step explanation:

\( \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82\)

Proof:

17+n/3=33

17+82/3=33

99/3=33

33=33

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Answer:

21 centimeters

Step-by-step explanation:

40 millimeters is 4 centimeters and 25-4 is 21.

Side Note: I used to have to do math iready but im in algebra now so not anymore.

Answer:

the answer is 15

Step-by-step explanation

Step-by-step explanation:

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

GCF (greatest common factor) = 6

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :

66 + 36 = 3 (22 + 12)

But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :

66 + 36 = 6 (11+ 6)

= 6(17)

= 102

Hence, this is the required solution.

Step-by-step explanation:

When a = 6,

7(a + 2) = 7(a) + 7(2) = 7(6) + 7(2) = 7(6) + 14.

Answer:

7(6)+14

Step-by-step explanation:

7(6+2) = 7(6) + 7(2) = 7(6) + 14

Answer:

x=-8/(a-b)

Step-by-step explanation:

Bring everything with x over to one side and everything else to the other.

ax-bx=-8

Factor out x.

x(a-b)=-8

Divide both sides by a-b

x=-8/(a-b)

The efficiency of the cyclone for particles with a density of 1,000 kg/m^3 and radii of 1.00, 5.00, 10.00, and 25.00 μm can be determined using a spreadsheet to plot the efficiency as a function of particle diameter.

To calculate the efficiency of the cyclone for particles of different diameters, we need to consider the gas conditions and the composition of the gas mixture. In Example 9-13, we are given the volume of gas, the temperature, and the masses of methane, nitrogen, and carbon dioxide present.

First, we can calculate the moles of each gas using the ideal gas law equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. Rearranging the equation, we have n = PV/(RT).

Next, we can calculate the partial pressure exerted by each gas using the equation P = nRT/V, where P is the partial pressure, n is the number of moles, R is the ideal gas constant, and V is the volume.

Once we have determined the partial pressure of each gas, we can use this information along with the density of the particles and their radii to calculate the efficiency of the cyclone. The efficiency is typically defined as the ratio of the mass of particles collected to the mass of particles in the gas stream.

By plotting the efficiency as a function of particle diameter for the specified cyclone and gas conditions, we can observe how the efficiency changes with different particle sizes.

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Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

What exactly are you looking for? the second picture is not loading?

Step-by-step explanation:

Answer:

in 3.04 years the will give required intrest

Answer:

32.5

Step-by-step explanation:

if it completes a pack per second then it’s 32.5 g per second but this question does not have much detail on what you need to do

Answer:

160 words

Step-by-step explanation:

The negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

Given statement: Mei will run or walk to the gym tomorrow. Propositional logic:

Step 1: r: Mei will run to the gym tomorrow. w: Mei will walk to the gym tomorrow.

Step 2: The given statement can be rewritten in the form: r ∨ w.

Step 3: The negation of the given statement is ¬(r ∨ w). Using De Morgan's Laws, we can write the negation as ¬r ∧ ¬w.

Main Part: ¬(r ∨ w)

Explanation: We know that the negation of a disjunction is the conjunction of the negations of the disjuncts. So, the negation of the given statement r ∨ w is ¬r ∧ ¬w. The negation of the given statement "Mei will run or walk to the gym tomorrow" is "Mei will not run and will not walk to the gym tomorrow."

Conclusion: Therefore, the negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

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Answer:

The scale factor is 1/2

Step-by-step explanation:

The ordinal length is 8 and the width is 4.

The image has a length of 4 and a width of 2.

Helping in the name of Jesus.

The scale factor is 1/2

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

a polygon ABCD with vertices at 6 comma 6, 14 comma 6, 14 comma 10, 6 comma 10 and a second polygon A prime B prime C prime D prime with vertices at 3 comma 3, 7 comma 3, 7 comma 5, 3 comma 5.

so, we get,

The ordinal length is 8 and the width is 4.

and, we have,

The image has a length of 4 and a width of 2.

so, we get,

scale factor for length = 4/8

                                     = 1/2

scale factor for width = 2/4

                                    = 1/2

Hence, The scale factor is 1/2.

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Answer:

(3.4/100)*115 = $3.91

Step-by-step explanation:

Divide by 100% and multiply by 115 (100%+15%)

Answer:

The 3rd relation is a function!

Answer:

(0, 3)

Step-by-step explanation:

As the Only function out of all

Answer:

I don't know what I am suppose to answer

Answer:

c

Step-by-step explanation:

The correct answer to the question is b. a statistic. A population characteristic, such as a population mean, is called a statistic.

In statistics, a sample is a subset of a population that is selected for analysis, while a population refers to the entire group of individuals or objects that we want to study.

A parameter is a numerical value that describes a characteristic of a population, such as the population mean or standard deviation. On the other hand, a statistic is a numerical value that describes a characteristic of a sample, such as the sample mean or standard deviation.

Statistics play an important role in many fields, including business, economics, social sciences, and healthcare. By analyzing data from samples, statisticians can make inferences about populations and draw conclusions about relationships between variables.

For example, suppose we want to estimate the average height of all adult males in the United States. It would be impractical to measure the height of every single male in the country, so we might take a random sample of 1,000 men and calculate their average height.

This average height would be a statistic, while the true average height of all adult males in the United States would be a parameter.

In conclusion, the correct option is b) a statistic. When referring to a population characteristic such as a population mean, it is called a statistic.

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