What type of sample does personal experience generate?.

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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Answer:

The sample mean for survey 1 is $1.69.

Step-by-step explanation:

I just did this on edmentum plato.

Answer:

12

Step-by-step explanation:

6*2

Answer

d=2r

r=d

2=12

2=6

Step-by-step explanation:

In Chapter 18 of "Monster," Briggs tries to cause doubt about Bolden's testimony by focusing on option C, the "deal Bolden would receive for testifying."

What happens in the novel?

In the novel "Monster" by Walter Dean Myers, Briggs is the defense attorney for Steve Harmon, a 16-year-old boy on trial for his alleged involvement in a robbery and murder. Bolden is a key witness in the trial who testifies against Steve.

Bolden is a criminal who claims to have been present during the robbery and identifies Steve as one of the perpetrators. Briggs attempts to discredit Bolden's testimony during the trial in order to cast doubt on Steve's guilt. According to Briggs, Bolden is lying. His reason to testify is the deal promised to him that would get him out of jail sooner.

For that reason, option C is the best answer.

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Answer:

50/sin90=x/sin45

x=35.36cm

Answer:

-9

Step-by-step explanation:

Answer:

Step-by-step explanation:

STEPS USING FACTORING

a  

2

−13a+42=0

To solve the equation, factor a  

2

−13a+42 using formula a  

2

+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.

a+b=−13

ab=42

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.

−1,−42

−2,−21

−3,−14

−6,−7

Calculate the sum for each pair.

−1−42=−43

−2−21=−23

−3−14=−17

−6−7=−13

The solution is the pair that gives sum −13.

a=−7

b=−6

Rewrite factored expression (a+a)(a+b) using the obtained values.

(a−7)(a−6)

To find equation solutions, solve a−7=0 and a−6=0.

a=7

a=6

The expression is undefined when x=3 or -3

Hope it helps.

Do comment if you have any query.

Answer: The expression is undefined when x is 3 or -3

Step-by-step explanation:

The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.

\(9-x^{2} =0\\\)

We want \(x^2\) to be positive so divide everything by -1

\(9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0\)

Use difference of two squares (DOTS) to factor

\(x^2+9=0\\(x+3)(x-3)=0\)

So x cannot be 3 or -3

Answer:

a

Step-by-step explanation:

Answer:D

there is 5 who pay more then 50$ and there is 15 who pay less then 50$

do the math 75% pay less

Step-by-step explanation:

Answer:

x=25

the area of x squared is then 625

Step-by-step explanation:

3x +5 = 80

3x= 75

x=25

the area of x squared is then 625

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Answer:

speed is given by:

speed=distance/time

given that:

1 mile=1,760 yards

1 hour=60 min

then the speed in yards/sec will be:

distance Ashley covered is 15 miles

time=2 hours

thus;

speed=(15x1760)/(2x60)

=220 yards/ min

Step-by-step explanation:

Hi hope helps you :)

Answer:

The cost for one pound would be 3.8

Step-by-step explanation:

if you do 19divided by 5 you get 3.8

HUNTER X HUNTER

wrong ANIME gtg

If the graphs of the linear equations are identical, then there are infinitely many solutions.

If the graphs are not identical, then there are not infinitely many solutions. In this case, there may be either no solutions (lines are parallel but not collinear) or one solution (the lines are not parallel but they intersect).

Answer:

12e - 32j

Step-by-step explanation:

Simply distribute the 4.

4 (3e) = 12e

4 (-8j) = - 32j

Put it together: 12e - 32j

Answer:

A. 5 hours and 25 minutes

Step-by-step explanation:

8 - 3 = 5

50 - 25 = 25

8:50 pm - 3:25 pm = 5:25

A. 5 hours and 25 minutes

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

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The exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) is 2.527.

The exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) can be calculated using the formula for arc length.

This formula states that the length of a parametric curve from t=a to t=b is equal to the integral of the square root of the sum of the squares of the respective derivatives of x and y, evaluated from a to b.

Using this formula, the length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) can be calculated by integrating the square root of (1-2x)^2 + (1/sqrt(x))^2 from 0 to 1. This yields a length of approximately 2.527.

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With that information we can create the equation

10x + 5000 = 20x

where x is the number of earphones produced

10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20

Now to solve the equation:

subtract both sides by 10x

10x - 10x + 5000 = 20x - 10x

5000 = 10x

Now divide both sides by 10

5000/10 = 10/10 x

500 = x

Answer: D

Hope it helps :)

500 earphones must be produced to get the cost price of one ear phone of $20.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

The start-up costs for manufacturing earphones is $5,000.

Also, the cost to make earphones is $10.

Let x number of  earphones will produced to get a cost per unit of $20.

From the given conditions, we will get a linear equation in one variable

10x + 5000 = 20x

⇒ 5000 = 20x -10x

⇒ 5000 = 10x

⇒ x = 500

Hence, 500 earphones must be produced to get the cost of earphone of $20.

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Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

To solve the exercise you can first take the equation of the given line to its slope-intercept form, that is,

To take the equation of the given line to its slope-intercept form, you can solve for y, like this

Now, two lines are perpendicular if their slopes satisfy the equation

So, in this case, you have

Therefore, the equation that represents a line that is perpendicular to the line 5x + 2y = 12 is

Answer:

8 A

Step-by-step explanation:

V = 20 volts

R = 2.5 ohms

I=?

By Ohm's Law

\( \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere\)

Analyzing the function f(x) = -2•x³ + 5•x² - 3•x + 1, using the criteria f(x) = f(-x) for even functions and f(x) = -f(-x) for odd functions, gives the correct option as the option

A. Neither even or odd

An even function satisfy the equation f(x) = f(-x)

An even function is one that is symmetrical about the y-axis

An odd function satisfy the equation f(x) = -f(-x)

The shape graph of an odd function is inverted as it crosses the y-axis.

Analyzing the function f(x) = -2•x³ + 5•x² - 3•x + 1 gives;

f(1) = -2•1³ + 5•1² - 3•1 + 1 = -1

f(-1) = -2•(-1)³ + 5•(-1)² - 3•(-1) + 1 = 11

f(1) ≠ f(-1)

-f(-1) = -2•(-1)³ + 5•(-1)² - 3•(-1) + 1 = 11

f(1) ≠ -f(-1)

The function is therefore;

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Answer:

The gamers

Step-by-step explanation:

The best group for Ryan to survey would be the 25 fifth-grade boys.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Given, Ryan wants to find the favorite video game of the fifth-grade boys at His School.

The pleasant organization for Ryan to survey will be the 25 5th-grade boys. This organization might deliver him the maximum particular and applicable data approximately the fave online game of 5th-grade boys at his college.

Surveying a smaller organization of 25 5th-grade boys might be greater centered and centered as compared to surveying 25 5th-grade college students or each boy who will skip to 5th-grade subsequent year, which might encompass college students who aren't withinside the particular grade and demographic that Ryan is fascinated in.

Surveying each trainer at his college might now no longer be beneficial in this example as they may be now no longer withinside the goal demographic of 5th-grade boys.

Therefore, The best group for Ryan to survey would be the 25 fifth-grade boys.

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Complete question:

Ryan Wants To Find The Favorite Video Game Of The Fifth-Grade Boys At His School. Which Group Would Be BEST For Ryan To Survey? 25 Fifth Grade Boys 25 Fifth Grade Students Every Teacher At His School Every Boy Who Will Pass To Fifth Grade Next Year

Ryan wants to find the favorite video game of the fifth-grade boys at his school. Which group would be BEST for Ryan to survey? 25 fifth-grade boys 25 fifth-grade students every teacher at his school every boy who will pass to fifth grade next year

The Jacobian problem requires us to linearize the given nonlinear system about the equilibrium point (0, 0) using the Jacobian and determine its eigenvalues.

To do this, we need to calculate the partial derivatives of the system with respect to x1 and x2 and form the Jacobian matrix. The Jacobian matrix for the given system is: J(x1,x2) = [3x2 3x1+3x2; 0 5], Evaluating the Jacobian matrix at (0,0), we get: J(0,0) = [0 0; 0 5].

To find the eigenvalues of J(0,0), we need to solve the characteristic equation: det(J(0,0)-λI) = 0, where I is the identity matrix. Solving this equation, we get: (0-λ)(5-λ) = 0, which gives us two eigenvalues: λ1 = 0, λ2 = 5

Since one of the eigenvalues is zero, the linearized system is nonlinear. To determine whether the linearized system is stable or unstable, we need to look at the sign of the real part of the eigenvalues. If the real part of all the eigenvalues is negative, then the system is stable, otherwise it is unstable.

In this case, since one of the eigenvalues is zero, the linearized system is not stable. The other eigenvalue is positive, which means that the linearized system is unstable. Therefore, we can conclude that the nonlinear system is also unstable at the equilibrium point (0,0).

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Step-by-step explanation:

the integer that represents the opposite of a gain of 400 = - 400

Answer:

5/8 x 3 = 15/8. If it needs to colour up then you to colour 15 of them.

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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