an atomic absorption method for determination of copper in fuel samples yielded a pooled standard deviation of (). how many replicate measurements are necessary to decrease the 95 and 99% confidence limits to ?

The graph would be a straight line with points (1,4), (2,6), (3,8), (4,10), and (5,12).

A graph is a visual representation of data. It is a pictorial representation of a set of numerical values, in which individual values are plotted as points on the graph. Graphs are used to show trends, patterns and relationships between different data sets. Graphs are used in various fields including mathematics, science, economics, and statistics. Graphs can be used to represent a variety of data such as linear, nonlinear, and even categorical data. Graphs are also used to display financial data, like stock prices and currency exchange rates.

The graph would be a straight line with points (1,4), (2,6), (3,8), (4,10), and (5,12). This indicates that for 1 cart the total length is 4 feet, for 2 carts the total length is 6 feet, for 3 carts the total length is 8 feet, for 4 carts the total length is 10 feet, and for 5 carts the total length is 12 feet.

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For the given category,  there are three individuals with a score of 0, meaning they are married.

In this scenario, we want to convert the marital status of individuals into category scores where Single = 1 and Married = 0.

The score assigned to each person will indicate whether they are single or married.

To calculate the category score, we look at the marital status of each individual. If they are single, they are assigned a score of 1. If they are married, they are assigned a score of 0. So, in the given data, we have:

Married 24 $45,000 with a score of 0

Single 26 $33,000 with a score of 1

Single 33 $53,000 with a score of 1

Single 28 $59,000 with a score of 1

Married 36 $62,000 with a score of 0

Married 29 $48,000 with a score of 0.

We can see that there are three individuals with a score of 1 and three individuals with a score of 0.  

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The required probability that the hand is a full house is; 0.00144 or 0.144%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Consider the provided information we have Five cards are drawn from an ordinary deck of 52 playing cards.

Thus full house is a hand that consists of two of one kind and three of another kind.

The total number of ways to draw 5 cards are 78 was.

Now we want two of one kind and three of another.

Therefore, the hand has the pattern AAABB, where A and B are from distinct kinds. The number of such hands are:

3744/25989611

= 0.00144

Hence, the required probability is 0.00144 or 0.144%.

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(a) A Probability Distribution is the only ways that shows the possible outcomes of a random experiment and the probability of each outcome.

The possible outcomes of a random experiment are the different outcomes that can occur when you perform an experiment.

The probability of each outcome is the chance of that outcome occurring.

A probability distribution is a table that shows the relative frequencies or chances of different outcomes occurring in a random experiment. The example below shows a probability distribution for flipping a coin:

In a random experiment, the possible outcomes are called outcomes. There are three types of outcomes: successes, failures, and ties. A success is when an event happens exactly as planned for it to happen. A failure is when an event doesn't happen at all or doesn't happen in the way that was expected.

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Answer:

29%

Step-by-step explanation:

23 + 11 + 23 + 8 = 65 people

So, 65 people are taking the survey.

11 + 8 = 19 people shopping online

19 divided by 65, times 100 = 29%

So, there are 29% of the people surveyed shop online.

Answer:

1st: find the slope of the line that is perpendicular to y = 4x + 6 (which is m = -1/4)
2nd: substitute m = -1/4  x = 8 into y = mx + b and y = -4
3rd: Calculate it -4 = -1/4  x 8 + b
b = - 2
4th: substitute m = - 1/4 and b = -2 into y = mx + b
The final answer would be: y = -x/4 -2

Step-by-ste1p explanation:

If 7 out of every 9 people had Internet access, then 2 out of every 9 people did not have Internet access. The fraction of the world population that did not have Internet access in that year would be 2/9.

A fraction represents a portion of a whole or, more broadly, any number of equal pieces; a fraction describes the number of parts of a specific size, for example, one-half.

A fraction is a portion of a larger total. The number is stated in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than the denominator.

There are three primary forms of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are phrases that have a numerator and a denominator. We describe its kinds based on these two concepts.

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Answer: To find Y intercept means

T=0, so replace T with 0 and solve equation

it is equal to

300

Here is what I did to find the answer, If have any other question add me on discord Acathia#0103, i can help you with any other problems

The value of x and y are 4.24 units and 4.24 units respectively in the right angled triangle.

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio shows the relationship between the sides and angles of a right angled triangle.

For the triangle shown, using trigonometric ratio:

sin(45) = x / 6

x = 4.24 units

Also:

cos(45) = y / 6

y = 4.24 units

The value of x and y are 4.24 units and 4.24 units respectively

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Answer:

see explanation

Step-by-step explanation:

the equation of proportion is of the form

y = kx ← k is the constant of proportionality

(a)

- [tex]\frac{5}{2}[/tex] x = y , or

y = - [tex]\frac{5}{2}[/tex] x ← is in standard form

thus x and y are directly proportional

with constant of proportionality k = - [tex]\frac{5}{2}[/tex]

(b)

y = x ← is in standard form

thus x and y are directly proportional

with constant of proportionality k = 1

For every additional atmosphere of pressure applied to 1 mole of carbon dioxide at a volume of 10 L,  the volume will decrease by 9.5633 L.

The van der Waals equation is an important tool for understanding the behavior of gases. It is a mathematical equation that relates the pressure, volume, and temperature of a gas.

To find the rate of change of volume with respect to pressure, we use implicit differentiation.

This means that we take the derivative of both sides of the equation with respect to pressure (dP) while keeping all other variables constant.

After some algebraic manipulation, we find that

=> dV/dP = (V - nb)/(P + n'aV2).

This result tells us how the volume of a gas changes as the pressure changes.

To calculate the rate of change of volume with respect to pressure for 1 mole of carbon dioxide, we use the values of

V= 10 L, P=2.5atm, a=3.592 L2-atm/mole², and b=0.04267 L/mole.

Plugging in these values, we find that

=> dV/dP = (10 L - 0.04267 L)/(2.5atm + 3.592 L2-atm/mole² x 10 L2)

=> 9.5633 L/atm.

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f(x) > 0 over the interval ( - ∞ , - 4 )

What is the short definition of a coordinate plane?

A surface with two dimensions known as the coordinate plane is created by two number lines. The x-axis is a single number line that runs horizontally.

                    The y-axis is the name given to the vertical number line that is the other number line. A place known as the origin is where the two axes collide. To graph points, lines, and other things, we can utilize the coordinate plane.

If  f(x)  is a continuous function,  and that all the critical points of behavior change are described by the given information, then we can say that the function crossed the x axis to reach a minimum value of -12 at the point x=-2.5, then as x increases it ascends to a maximum value of -3 for x = 0 (which is also its y-axis crossing) and therefore probably a local maximum.

Then the function was above the x axis (larger than zero) from -∞ , until it crossed the x axis (becoming then negative) at the point x = -4. So the function was positive (larger than zero) in such interval.

There is no such type of unique assertion regarding the positive or negative value of the function when one extends the interval from -∞ to -3, since between the  values -4 and -3 the function adopts negative values.

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Answer:

5.5−5x (sorry if i got it wrong i tried)

Answer:

-5x+5.5

Step-by-step explanation:

3.5−4x+2−3x+2x

-4x-3x+2x+3.5+2

-5x+5.5

An equation of the question is 250 × 0.94^n = 150 and in approx 8 years it will have about 150 students.

The population of its high school decreases by 6% each year.

The senior class has 250 students now.

Each year decrease in population = 6% = 0.06

So it can be = 1 - 0.06 = 0.94

Total student now = 250

Let n be the number of years before the class will have  students.

So the equation should be = 250 × 0.94^n

After years left students = 150.

Now the equation should be

250 × 0.94^n = 150

Now solving the equation.

Divide by 250 on both side, we get

0.94^n = 150/250

0.94^n = 3/5

Taking log on both side, we get

log(0.94^n) = log(3/5)

Using the formula log(m^n) = n logm and log(m/n) = log m - log n

n log(0.94) = log3 - log5

Now finding the value of log using calculator

n (-0.062) = 1.099 - 1.61

(-0.062)n = -0.511

Divide by (-0.062) on both side, we get

n = 8.242

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The complete question is:

As a town gets smaller, the population of its high school decreases by 6% each year. The senior class has 250 students now. In how many years will it have about 150 students? Write an equation. Then solve the equation without graphing. Write an equation to represent this situation. Let n be the number of years before the class will have  students.

The additional information would you need to complete the boxplot are option (A), (B) and (C).

A boxplot is a visual representation of a dataset that provides information about the distribution of the data. It shows the median, quartiles, range, and any outliers in the data.

To complete the boxplot, a few additional pieces of information are required.

A. The largest value inside the fence: The high whisker on a boxplot represents the largest value that is within 1.5 times the interquartile range (IQR) of the data. To plot this, the largest value inside the fence is needed

D. The smallest value inside the fence: Similar to the high whisker, the low whisker represents the smallest value within 1.5 times the IQR of the data. To plot this, the smallest value inside the fence is needed.

C. Outliers: Outliers are values that fall outside the fences, and are plotted as individual points. To complete the boxplot, any outliers that are above the top fence and below the maximum value need to be included.

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The conditional probability that the first and fourth balls drawn will be white given that the sample drawn contains exactly 3 white balls will be  [C(5, 3) * C(2, 2) / C(12, 5)] / (C(12, 3) / C(12, 5))

The conditional probability of the first and fourth balls drawn being white given that the sample drawn contains exactly 3 white balls can be calculated as follows:

Let A be the event that the first and fourth balls drawn are white and B be the event that the sample drawn contains exactly 3 white balls. We want to find P(A|B), the probability of A given B.

Using the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

To calculate P(A and B), we can use the formula for the number of combinations:

C(n, k) = n! / (k! (n - k)!)

Where n is the total number of balls, k is the number of white balls, and ! denotes the factorial symbol.

In this case, n = 5 (the sample size), k = 3 (the number of white balls), and m = 2 (the number of white balls in the first and fourth positions).

P(A and B) = C(5, 3) * C(2, 2) / C(12, 5)

P(B) = C(12, 3) / C(12, 5)

Putting it all together:

P(A|B) = P(A and B) / P(B)

= [C(5, 3) * C(2, 2) / C(12, 5)] / (C(12, 3) / C(12, 5))
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The width of the rectangle is 2 units when length of the rectangle is 10 units.

As per the given data:

The length of a rectangle varies inversely with its width.

The length of the rectangle is 5 units when its width is 4 units

The length of the rectangle when its width is 10 units

Here we have to determine the width of a rectangle.

Let l be the length and w be the width of the rectangle.

Now, from the given direction, we have

[tex]$l=\frac{k}{w}[/tex]

Substitute l = 5 units, w = 4 units, to find the constant k

5 = [tex]$\frac{k}{4}[/tex]

k = 20 units

Now, we have to find the width of the rectangle when l = 10 units

10 = [tex]$\frac{20}{w}[/tex]

w = [tex]$\frac{20}{10}[/tex]

w = 2 units.

Therefore the width of the rectangle is 2 units.

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The length of a rectangle varies inversely with its width. if the length of the rectangle is 5 units when its width is 4 units , find the width of the rectangle when its length is 10 units?

The answers to the function g(x) = - 2x + 5 in the table are 15, 11, 5, -1 and -5 respectively

A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable

Using the rule  g(x) = - 2x + 5

When x = -5

g(x) = - 2(-5) + 5 = 15

when x = -3

g(x) = - 2(-3) + 5 = 11

when x = 0

g(x) = - 2(0) + 5 = 5

when x = 3

g(x) = - 2(3) + 5 = -1

when x 5

g(x) = - 2(5) + 5 = -5

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How you actually measure the variable is called the Operational definition of the variable .

The Operational Definition of a variable is how you actually measure it.

It specifies the methods, techniques, and procedures used to measure a particular variable. It is the concrete, specific, and practical definition of the variable in a way that makes it possible to be observed, measured, and recorded.

The operational definition is also used to ensure that all researchers are measuring the variable in the same way and to reduce the potential for measurement error. It is an important step in the scientific process as it allows for replication of results and makes the variable more concrete and tangible.

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Answer: 31 quarters and 47 dimes

Step-by-step explanation:

Please refer to the image below:

Answer:

88.9%

Step-by-step explanation:

1) Write as a percentage

2) Round to 1 d.p

Have a lovely day :)

In a dataset or graph, outliers are extreme values that greatly deviate from the dominant pattern of values.

In order to identify the outlier, search for a value that is significantly greater or smaller than all the other values. Due to its extreme size compared to all other numbers, the number 267 is an outlier.

a value that "lies outside" (i.e., is significantly smaller or substantially bigger) most of the other values in a set of data For instance, both 3 and 85 in the scores 25, 29, 3, 32, 85, 33, 27 and 28 are "outliers".

A data point that is an outlier in a data graph or dataset you are dealing with is one that is extraordinarily high or extraordinarily low in comparison to the nearest data point and the rest of the nearby coexisting values. Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

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The coordinates of the point on the unit circle corresponding to a central angle of 21 degrees are (0.93, 0.36), which is answer choice c.

The point on the unit circle corresponding to a central angle of 21 degrees can be found using the trigonometric functions sine and cosine.

In this case, the x-coordinate is equal to the cosine of the angle and the y-coordinate is equal to the sine of the angle.

Converting degrees to radians, we have:

x = cos(21) = 0.93

y = sin(21) = 0.36

A unit circle in mathematics is a circle with a radius of one, or one unit. The unit circle is frequently the circle with radius 1 that is located at the origin (0, 0) in the Cartesian coordinate system on the Euclidean plane, notably in trigonometry.

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Answer:

x < -5

Step-by-step explanation:

Answer: x < -5

Step-by-step explanation:

The home's price is worth today's compared to the original price, which increased by 9% per year, equal to $803,310.

Purchase price of the house bought by Sunita in 1992 = $289,000

Percent increase in the average home price from 1992 to today per year

= 9% per year.

Let us consider 'y' be the home price worth today.

Total number of years = 2023 - 1992

                                     = 31 years

Todays price = 289,000 × 9 % × 31

                      = ( 289,000 × 9 × 31 )/100

                      = $803,310

Therefore, for the increased in home price by 9% per year the worth todays home price is equal to $803,310.

The given question is incomplete, I answer the question in general according to my knowledge:

From 1992 to today the average home price increased by 9% per year. In 1992 Sunita Bath bought a house for $289,000. What was it worth today?

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The values of t and s that satisfy the equality are t = sqrt(3 * 74.67 / 49) and s = sqrt(3 * 74.67 / 49).

The equality ⟨−(7t^2), 3s-2t⟩ = ⟨3s-t,24t⟩ means that the two vectors are equal, so the components must be equal:

-7t^2 = 3s-t

3s-2t = 24t

Solving for t, we can subtract 24t from both sides:

3s-26t = 0

Dividing both sides by 3, we get:

s - 8.67t = 0

So, t = s / 8.67.

Substituting t = s / 8.67 back into the first equation, we get:

-7(s / 8.67)^2 = 3s - s / 8.67

Expanding and simplifying, we get:

-49s^2 / 74.67 + 3s = s^2 / 74.67

Dividing both sides by s^2 / 74.67, we get:

-49 + 3 * 74.67 / s = 1

Multiplying both sides by s^2 / 74.67, we get:

-49s^2 + 3 * 74.67 = s^2

Expanding and rearranging, we get:

s^2 - 49s^2 + 3 * 74.67 = 0

Combining like terms, we get: -49s^2 + 3 * 74.67 = 0

Dividing both sides by -49, we get: s^2 = 3 * 74.67 / 49

Taking the square root of both sides, we get: s = sqrt(3 * 74.67 / 49)

Thus, the values of t and s that satisfy the equality are t = sqrt(3 * 74.67 / 49) and s = sqrt(3 * 74.67 / 49).

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Answer:

Step-by-step explanation:

12.6x-4.9x=123.2

63x over 5 -4.9x-123.2

Answer:

Step-by-step explanation:true

Answer:

False

Step-by-step explanation:

To find the interquartile range, compute the positive difference between the first and third quartiles.

The length of the crust around the larger pizza is equal to: B. 51.81 inches.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

For Restaurant 1: One large 16-inch pizza is sold for $14.99.

1 inch = 2.54 centimeters

16 inches = 16 × 2.54 = 40.64 centimeters

Therefore, restaurant 1 sells one large 40.64 cm pizza for $14.99.

For Restaurant 2: One large 41.91-centimeter pizza is sold for $14.99

Since we know that 41.91 centimeters is greater than 40.64 centimeters, restaurant 2 offers the larger pizza.

Now, we can calculate the length of the crust around the pizza, which is the same as the circumference of the pizza (circle)

C = π × d

C = 3.14 × 41.91

C= 131.5974 centimeters

In inches, we have:

C = 131.5974/2.54 = 51.81 inches.

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Answer:

c

Step-by-step explanation:

I think