a group of 24 people equally shared 14 pounds of ground beef. how many pounds of ground beef did each person get?

B-The two distributions for number of cars in line are both skewed right.

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The amount William will have in his account after 4 years is $5737.50.

The formula for compound interest is

A(t) = P(1 + i)^t

where A(t) is the final amount in the account after t years, P is the initial principal or the amount invested, i is the annual interest rate, and t is the number of years.

In this case, P = 5000 dollars, i = 3.5% (expressed as a decimal), and t = 4 years.

So, to find the final amount in the account after 4 years, we can plug these values into the formula:

A(4) = 5000(1 + 0.035)^4

To calculate this we can use a calculator or use the exponential function, in this case, we get:

A(4) = 5000(1.035)^4

= 5000(1.1475)

= 5737.50

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Answer:

All I know is:

Step-by-step explanation:

You have to Graph

Then Find the Empirical/Simplest Formula

After you have to Calculate the Formula Weights

Then Find the Derivative - d/dx

Last, Find the Derivative - d/dy

Sorry I don't know the real answer.

The trainee's z-score is -1.5.

An illustration of a standardized score is the z-score. A z-score calculates how far a data point deviates from the distribution's mean by standard deviation.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Given:

Mean= 77

standard Deviation = 2

x= 74

Using z score formula

Z score = (x - μ)/ σ

Z score = (74 - 77)/ 2

Z score = -1.5

Now, the P-value from Z-Table:

P(x<74) = 0.066807

P(x>74) = 1 - P(x<74)

            = 0.93319

P(74<x<77) = 0.5 - P(x<74)

                  = 0.43319

Hence, the z- score is -1.5.

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Determine appropriate formula to model scenarios.

Sometimes, different formulas can generate similar results. The key is to choose the formula that is most appropriate for the scenario, and it's also important to consider the complexity of the formula and its interpretability.

Based on the problem or question, the available data, and the literature review, determine the appropriate mathematical model to use. The model should be able to capture the key features of the problem or question and provide an accurate representation of the data.

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Answer: 8/100 or 2/25

Step-by-step explanation:

8% is automatically out of 100% so it would be

8/100

and the simplified version would be 2/25

Answer: 2/25

Step-by-step explanation:

The second graph  represents the function [tex]f(x)=8^{\frac{1}{3} x}[/tex]

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is

[tex]f(x)=8^{\frac{1}{3} x}[/tex]

At x=0, f(0)=1

At x=1, f(1)=2

At x=2, f(2)=4

The graph of f(x) passing through the points (0,1), (1,2), (2,4),(3,8).

According to these coordinates we can say that the graph of f(x) is represented by option 2.

Therefore correct option is 2.

Hence, the second graph  represents the function [tex]f(x)=8^{\frac{1}{3} x}[/tex]

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The team plots alternatives on a two by two matrix using the 2x2 Matrix decision support technique. The matrix diagram is a straightforward square divided into four equal quadrants, sometimes known as a four blocker or magic quadrant. A decision criterion, such as cost or effort, is represented by each axis.

A diagonal matrix in linear algebra is a matrix with all zero entries outside of the primary diagonal; the word typically applies to square matrices. The major diagonal's components can either have zero or nonzero elements.

The redundant column vectors are all taken out of the kernel when determining the basis of a matrix, leaving only the linearly independent column vectors. A basis is therefore merely the sum of all the linearly independent vectors.

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By using a trigonometric relation, we will see that the hypotenuse of the right triangle is:

x = 22

We want to find the value of x on the right triangle.

Notice, it is the hypotenuse of the right triangle.

We know one angle on the triangle, and also the adjacent cathetus, then we can use the trigonometric relation:

cos(a) = (adjacent cathetus)/hypotenuse

We can replace the known values to get:

cos(30°) = 11*√3/x

(√3)/2 = 11*√3/x

Now we can solve this for x.

Dividing both sides by √3 we get:

1/2 = 11/x

x/2 = 11

x = 2*11

x = 22

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By solving a system of equations and a quadratic equation, we will see that x = 2.

We know that x and y are positive integers, that x < y and:

x*y = 56

We also know that "seven times the reciprocal of the smaller integer plus 14 times the reciprocal of the larger integer equals 4"

Then we can write the equation:

7*(1/x) + 14*(1/y) = 4

So we have a system of equations:

x*y = 56

7*(1/x) + 14*(1/y) = 4

We can rewrite the first equation to get:

x = 56/y

And the second equation as:

14/y = 4 - 7/x

Then the system becomes:

56/y = x

14/y = (4 - 7/x)

Taking the quotient between these, we can remove the variable y:

(56/y)/(14/y) = x/(4 - 7/x)

56/14 = x/(4 - 7/x)

4*(4 - 7/x) = x

4*(4x - 7)/x = x

4*(4x - 7) = x^2

So now we have a quadratic equation:

x^2 - 16x + 28 = 0

Using the quadratic formula, we will get:

[tex]x = \frac{16 \pm \sqrt{(-16)^2 -4*1*28} }{2*1} \\\\x = \frac{16 \pm 12 }{2}[/tex]

So the solutions are:

x = (16 - 12)/2 = 2

x = (16 + 12)/2 = 14

But notice that if x = 14, then:

14 = 56/y

y = 56/14

y = 4

And y is larger than x, then x = 14 can be discarded.

The solution is x = 2.

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The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped. Answer is 8.212°.

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped.

The ratio of the opposite side to the hypotenuse is called sin(), and the ratio of the adjacent side to the hypotenuse is called cos(), when viewed from a vertex with angle.

So, the Pythagorean identity-based formula for sin is sin²x = 1 - cos²x.

Hypotenuse²=base²+perp²

(8)²=(7)²+(perp)²

64=49+(perp)²

64/49=perp²

1.306=perp²

Now taking square root on both sides

Perp=√1.306

Perp=1.142

Sin C=opposite/hypotenuse

Sin =1.142/8

Sin C=0.14285

C=Sin^-1 0.14285

C=8.212°

Answer is 8.212°.

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Ram and Shyam laid 80 and 170 bricks respectively.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over.

Let each of them initially laid x and y bricks,

Therefore, establishing the equations,

x + y = 250....(i)

According to later condition,

2x + x/2 = 200

4x + x = 400

5x = 400

x = 80

Put x = 80, in equation (i)

80 + y = 250

y = 170

Hence, Ram and Shyam laid 80 and 170 bricks respectively.

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The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y).

e(x+y)

e = expected

x = points earned on part 1

y = points earned on part 2

So, the expected recorded score is the total of points earned on both parts: e(x+y).

The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y). This formula is useful for quickly calculating the total score of an assignment, allowing the grade book to be updated quickly and accurately.

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Therefore , the solution of the quadratic equation comes out to be x value is 4.

The quadratic solution x = ax2 + foo + c=0 is a regression model for one variable equations. According to the First Theorem of Algebra, this polynomial only has one solution because of its second order. Both straightforward and complex solutions are viable options. The term "quadratic formula" refers to a formula with four variables. According to this, there can only be a single squared word present. Mathematical variables or variables a, b, and c are often used to represent the unknown variable "X" in the formula "ax2 + bx + c = 0," which is frequently used to solve arithmetic problems.

Here,

Given :

=> 4x²+ 6x-2+6 - 4x² - 6x

=>  4x² - 4x² + 6x -6x -2 +6

=> 0 + 0 +4

=> 4

Therefore , the solution of the quadratic equation comes out to be x value is 4.

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probability will be 1/2 for obtaining correct number that is ng clues to try to guess a secret number: it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$.

How do you calculate probability

Probability is the likelihood that something will happen. Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes

it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$.

the numbers are 67,69,83,.....etc

In order to simplify these types of expressions, first of all the external element is distributed into the bracket.

This property is called distributive property where the outer number is distributed into the bracket.

The distributive property is generally stated as:

So applying the property on given expression

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Answer:

68823600

Step-by-step explanation:

The required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Given equation,
y=x³+4x²+3x+12

To determine the x-intercept put equation y = 0

0 = x³+4x²+3x+12

Factorize the above equation

0=(x²+3)(x+4)

One of the factors from above is given as

x+4=0  

x = -4

The x-intercept is (-4,0)

For the y-intercepts, x=0 and solve.

y = 12

y = 12

The y-intercept is (0,12)

Now equation of the line passing these points is given as.

m = (y₂ - y₁) /  (x₂ - x₁)
m = 12/3
m = 3

C, we already have C=12

So the equation of the line is
y = mx + c
y=3x+12

Thus, the required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

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Answer:

   20 miles

Step-by-step explanation:

first, draw a diagram. Then, use the pythagorean theorem to calculate.

The value of x in the simplest radical form is 3.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

Given: Let the triangle be ΔABC

The triangle ABC is a right-angled triangle and the angles inside the triangles are 45°, 45° and 90°

tan θ = x / 3

Now , θ = 45°

So, tan 45° = x / 3

The value of x is 3.

Hence, the value of x is 3.

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The total monthly payment would be $17.36.

Option (d) is correct.

What is the annuity payment?

An annuity payment is a fixed, regular payment made to an individual or organization over a specific period of time. It is typically used in the context of financial transactions, such as loans, investments, and insurance.

To calculate the monthly payment Bianca will have to make to avoid interest capitalization, we can use the formula for the annuity payment:

PMT = (Loan Amount * Interest Rate / (1 - (1 + Interest Rate)^(-n))) / (Interest Rate / 12)

Where:

PMT is the monthly payment

Loan Amount is the amount of the loan, in this case, $2,600

Interest Rate is the annual interest rate, in this case, 6.2%

n is the total number of payments, in this case, 5 years * 12 months/year = 60 months

Plugging in the values, we get:

PMT = (2600 * 0.062 / (1 - (1 + 0.062)^(-60))) / (0.062 / 12)

PMT = $17.36

Hence, the total monthly payment would be $17.36

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Answer: C

Step-by-step explanation:Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6.2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization?

a.

$12.40

b.

$19.29

c.

$13.43

d.

$17.36

Please select the best answer from the choices provided

Answer:

[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Rate of change = [tex]\frac{Change in Y value}{Change in X value}[/tex]

                    Pick any two sets of 'X' and 'Y' value

I chose (-4, 6) as [tex](X_{1} ,Y_{1} )[/tex]and (12, -2) as [tex](X_{2} ,Y_{2} )[/tex] :

Rate of change = Slope / Gradient of graph = [tex]\frac{Y_{2} -Y_{1} }{X_{2} - X_{1} }[/tex]

                                                                         = [tex]\frac{-2 - (6)}{12 - (-4)}[/tex]

                                                                          = [tex]\frac{-2 - 6}{12 + 4}[/tex]

                                                                           = [tex]\frac{-8}{16}[/tex]

                                                                           =  [tex]\frac{- 1}{2}[/tex]

The main difference between X1 and x1 is that X1 is a random variable and x1 is a specific numerical value.

In mathematics, variables are often used to represent different values, and the difference between uppercase and lowercase letters is often used to distinguish between different types of variables. X1 is a random variable, which represents a value that can take on different values depending on the outcome of an experiment or a probability distribution. x1, on the other hand, is a specific numerical value, which represents a fixed value that is known or can be determined. In short, X1 refers to a variable whose value is uncertain and x1 refers to a specific value of that variable.

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4 and 2 have only one polynomial, which is [tex]x^2-6x+8[/tex]

If a polynomial has two real zeros, then it will be a Quadratic polynomial. A quadratic polynomial is a polynomial that has a degree of two. Zeros of a Quadratic polynomial can be found by two methods, 1. Splitting the middle term 2. Quadratic formula. In this question, zeros are given for this we will use the reverse of splitting the middle term.

4 and 2 are two zeros of a polynomial. It can be represented as:

[tex]x=4\\x=2[/tex]

therefore,

[tex]x-4=0\\x-2=0[/tex]

The Above Linear polynomials are a simplified form of a quadratic polynomial. When multiplying both equations, we get:

[tex](x-4)(x-2)=0[/tex]

[tex]=x^2-2x-4x+8[/tex]

[tex]=x^2-6x+8[/tex]

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Solve in equal value Method step by step solution is given below.

Equal value is a concept that states all people, regardless of race, gender, ethnicity, sexual orientation, or any other defining characteristic, are of equal worth and should be treated equally. This concept is fundamental to democracy and is enshrined in the Universal Declaration of Human Rights. Equal value is also a foundation of economic theory, as it states that everyone should be able to access and benefit from economic resources, whatever their background.


Step 1: Isolate the 5y term on one side:
5y = -13-3x

Step 2: Divide both sides by 5:
y = (-13-3x)/5

Step 3: Replace the y with its expression:
x - 7 = (-13-3x)/5

Step 4: Distribute the -7 over the denominator of the right side:
x - 7 = (-13-3x-35)/5

Step 5: Add 7 to both sides:
x = (-13-3x-35+35)/5

Step 6: Simplify the expression:
x = (-13-3x)/5

Step 7: Solve for x:
x = -26/8

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Answer: Root 16 = 4, 4*1/2= 2

5/9*1/2= 5/18

Root 3 = 1.73205...*1/2= 0.866025...

Root 3 is the answer

Therefore , selecting a paperback book has an odd favor of 2:5, this probability problem's solution indicates that.

Calculating the probability of an event happening or a declaration being true is the focus of the mathematical field of probability theory. A chance is just a number between 0 and 1, with 1 denoting certainty and 0 roughly indicating the likelihood of an event occurring. Probability is a mathematical expression of the likelihood or probability that because an event will take place. The percentage ranges of 0% to 100% as well as the numerals 0 and 1 can be used to describe probabilities. the percentage of times an event occurs in a perfect collection of equally likely alternatives, out of all possible outcomes.

Here,

Given The likelihood of selecting a paperback book at random from either a bookshelf is 2/5, as stated.

In order to determine whether picking a paperback book is more likely to be strange,

So, using the information provided, we observe it.

that the odd favor of picking a paperback book is 2:1.

Option D is the proper choice.

Since selecting a paperback book has an odd favor of 2:5, this probability problem's solution indicates that.

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Answer:

2:3

Step-by-step explanation:

According to the round off rule, the resulting value of the total distance is  135,000

As we al know that if the rounded number increases then the given number is said to be rounded up on the other hand if the rounded number decreases then it is said to be rounded down.

Here we have given the details about the race is made up of 4 separate stages.

Now, we need to find the total distance, that can be calculated by adding all the given distance, then we get,

=> 30,060 + 21,111 + 33,501 + 49,840

=> 134512.

Now, we have to round off the value to the nearest thousandth term, then it can be written as,

Here we need rounded to the nearest thousands place. The 4 in the thousands place rounds up to 5 because the digit to the right in the hundreds place is 5.

=> 135,000

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A quarter-circle with a radius of 5 has the area: 25π/4, This is where the shaded area in the figure is located.

The area of a circle’s sector is calculated as /360o (r²), where r is the radius of the circle and is the angle of the sector.

The little, subtle distinctions between words are distinguished by shades of meaning. The terms “happy” and “ecstatic,” for example, both express emotion, but one is more powerful than the other. When students study shades of meaning, they learn how to effectively articulate how they feel or think. Shade is any gloomy place where sunshine or other strong light is obstructed. A shadow is a dark form that develops on a surface when an item blocks sunlight or other light.

The shaded area in the illustration is a quarter-circle with a radius equal to 10/2, or 5 units, or half the length of the square's side.

The following formula can be used to determine a circle's area:

A = πr²

If pi is present and r is the radius (approximately equal to 3.14).

A quarter-circle with a radius of 5 has the following area:

A = (π × 5²) / 4 = (π × 25) / 4 = 25π / 4

This is where the shaded area in the figure is located.

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The equation for the number of white dots is a(n) = 2n - 1 while the equation for the number of black dots is a(n) = (n - 1)²

The pattern for the number of black and white dots is depicted in the attached picture.

Refer to the the picture, the sequence of the white dots are:

n = 1  number of white dots = 1

n = 2  number of white dots = 3

n = 3  number of white dots = 5

n = 4  number of white dots = 7

Notice that the number of white dots form an arithmetic sequence, with:

first term = a = 1

common difference = d = 3 - 1 = 2

Hence, the equation for the nth term is:

a(n) = a + (n - 1) d

a(n) = 1 + (n - 1) x 2

a(n) = 2n - 1

Now look at the black dots.

n = 1  number of black dots = 0

n = 2  number of black dots = 1

n = 3  number of black dots = 4

n = 4  number of black dots = 9

Notice that the number of black dots is a quadratic sequence starting from 0.

We can write:

n = 1  number of black dots = 0 = (1 - 1)²

n = 2  number of black dots = 1  = (2 - 1)²

n = 3  number of black dots = 4 = (3 - 1)²

and so on. Hence, the equation of the nth term for the number of black dots is:

a(n) = (n - 1)²

The picture in your question was missing, but most likely it was like in the attached picture.

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