saac Newton was consulted about the following problem by Samuel Pepys, who wanted the information for gambling purposes. Which of the following events has the highest probability?
A: At least one 6 appears when 6 fair dice are rolled.
B: At least two 6’s appear when 12 fair dice are rolled.
C: At least three 6’s appear when 18 fair dice are rolled

Los ángulos de mayor y menor medida son 85° y 35°, respectivamente.

En esta pregunta tenemos dos ángulos, cuyas medidas deben ser determinadas a partir de las ecuaciones matemáticas derivadas del enunciado. Primero, escriba la relación de las sumas de las medidas de los ángulos:

x + y = 120°

Donde:

Segundo, establezca la ecuación que relaciona las medidas de los ángulos:

x = 3 · y - 20°

Tercero, se resuelve el sistema de ecuaciones lineales:

(3 · y - 20°) + y = 120°

4 · y = 140°

y = 35°

x = 3 · 35° - 20°

x = 85°

No existen preguntas verificadas en español sobre el tema, de modo que se añade una pregunta en inglés.

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Answer: The elimination method is a method for solving a system of equations by eliminating one of the variables. One way to do this is to multiply one equation by a constant and then add or subtract it from the other equation to cancel out one of the variables.

We will start by multiplying the first equation by 3:

2x + 6y = 2 ----> 6x + 18y = 6

Now we will subtract the second equation from the modified first equation:

6x + 18y = 6

(2x + 2y = 2)

4x + 16y = 4

Now we can solve for one of the variables, we will solve for x:

4x = 4

x = 1

Now that we know x = 1, we can substitute this back into one of the original equations, for example the first one:

2x + 6y = 2

2(1) + 6y = 2

6y = 0

y = 0

So the solution to the system of equations is x = 1 and y = 0

Therefore, the solution is (1,0)

Step-by-step explanation:

The majority of people jogged between 1 hour and 4 hours ,  1 hour and 2 hours , 2 hour and 3 hours , 3 hour and 5 hours is 8,8,8,6 respectively.

What is bar chart ?

Bar chart can be defined as the graph which represents the data of any given information.

Given ,

The number of hours people spent jogging last week is shown in the histogram from the given question ,

The majority of people jogged between 1 hour and 4 hours

4,8,6,2 is 8.

The majority of people jogged between 1 hour and 2 hours

4,8, is 8.

The majority of people jogged between 2 hour and 3 hours

8,6 is 8.

The majority of people jogged between 3 hour and 5 hours

6,2,4 is 6.

Hence, The majority of people jogged between 1 hour and 4 hours ,  1 hour and 2 hours , 2 hour and 3 hours , 3 hour and 5 hours is 8,8,8,6 respectively.

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a) The graph of the piece-wise function is given by the image presented at the end of the answer.

b) The x-intercepts of the function are given as follows: x = -4, x = 0 and x = 19.

c) The graph of g(x) is positive on these following intervals: (-4,0) and (4,19).

A piece-wise function is a function that has different definitions, depending on the input of the function.

The definitions for the function in this problem are given as follows:

The features of the function are given as follows:

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Answer: Yes

Step-by-step explanation:

First You need to find a common denominator between 5/8 and 3/5 so you can add them together.

The earliest common denominator between 8 and 5 is 40.

So you have to Multiply the numerator by whatever it takes the denomintor to reach 40.

So for 8 to reach 40 you have to multiply 8 by 5 so you must also multiple the numerator by 5 giving you 25 so your fraction becomes 25/40.

If you do the same for the other fraction you end with 24/40.

so 25/40 + 24/40 = 49/40 which is greater than 1

You should distinguish elements of your data visualization by discriminating data the foreground and background and using contrasting colors and shapes. This makes the content more accessible.

The term shapes in math is known as the process of define the outline or the boundary of an object.

Here we have given that should distinguish elements of your data visualization and the content more accessible.

Here we have given that distinguishing elements of your data visualization by separating the foreground and background and using contrasting colors and shapes makes the content easier to see.

While we looking into this one than we have identified that this can help make data visualizations more accessible for audience members with low vision.

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From the given expressions of prime numbers, the following are never a prime number:

Option b.  p²+ 24  

Option c. p²+ 26

Prime number is represented by 'p'

The expressions which can never be a prime number is given by :

Let us consider value of p = 1

a. p²+ 16

⇒1² + 16

⇒17 a prime number

b.  p²+ 24

⇒1² + 24

⇒25 is not a prime number.

c.  p²+ 26

⇒1² + 26

⇒27 is not a prime number.

d.  p²+ 46

⇒1² + 46

⇒47 a prime number.

e.  p²+ 96

⇒1² + 96

⇒97 a prime number.

Therefore, the expression represented by option b. p²+ 24 and option c. p²+ 26 can never be a prime number.

The above question is incomplete , the complete question is :

Which of the following expressions is never a prime number when p is a prime number?

a. p²+ 16           b. p²+ 24               c. p²+ 26         d. p²+ 46        e. p²+ 96

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Answer:606.02371

Step-by-step explanation:

The numerical representation of "six hundred six and two thousand, three hundred seventy-one ten-thousandths" is 606.02371.

If the number of drone bees in the beehive is 9,268 fewer than the number of worker bees, we can set up an equation to represent the relationship:

Drone bees = Worker bees - 9,268

We know that there are 651 drone bees in the beehive, so we can substitute that value into the equation:

651 = Worker bees - 9,268

To find the number of worker bees, we need to solve for Worker bees. To do this, we need to add 9,268 to both sides of the equation:

651 + 9,268 = Worker bees

Worker bees = 9,919

So, there are 9,919 worker bees in the beehive.

When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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The coordinates of the ends of the image are J'(x, y) = (- 7, 7), K'(x, y) = (- 5, 2) and L'(x, y) = (- 2, 3), whose transformation formula is P'(x, y) = P(x, y) + (0, - 2 · p). A representation of the figures is in the image shown below.

In this problem we find a geometric locus generated by three points on Cartesian plane that is reflected over the x-axis, whose formula is shown below:

P'(x, y) = P(x, y) + (0, - 2 · p)

Where:

If we know that J(x, y) = (- 7, - 7), K(x, y) = (- 5, - 2) and L(x, y) = (- 2, - 3), then the coordinates of the image are:

J'(x, y) = (- 7, - 7) + (0, 14)

J'(x, y) = (- 7, 7)

K'(x, y) = (- 5, - 2) + (0, 4)

K'(x, y) = (- 5, 2)

L'(x, y) = (- 2, - 3) + (0, 6)

L'(x, y) = (- 2, 3)

Now we proceed to graph both the geometric locus and its image.

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The expression can be rewritten as -

y = (1/27)x - (8/27)

Given is the expression as -

x = 8 + 27y

We can rewrite the expression as -

x = 8 + 27y

27y = x - 8

y = (1/27)x - (8/27)

Therefore, the expression can be rewritten as -

y = (1/27)x - (8/27)

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Answer: Please provide me with more details regarding the issue, such as an expression or equation that x is a component of. Could you kindly provide me with additional background or details regarding the issue you're seeking to resolve?

Step-by-step explanation:

Give me more details about the answer and I will solve it for you.

The given function has

x-intercepts: x = 0, x = 4, x = -4, x = -4i and x = 4i.

Positive or Negative:  The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.

Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.

End behavior: x approaches positive or negative infinity the value of f(x) approaches positive infinity.

What is a function?

A function is a mathematical relationship between a set of inputs (referred to as the domain) and a set of outputs (referred to as the range). In other words, a function assigns a unique output to each input value in the domain.

Given the function f(x) = x(x − 4)³(x+4)²

x-intercepts: The x-intercepts are the points at which the function crosses the x-axis, meaning the y value is equal to zero. To find the x-intercepts we need to set f(x) = 0 and solve for x.

x(x - 4)^3(x+4)^2 = 0

the x-intercepts of the function f(x) = x(x - 4)^3(x+4)^2 are x = 0, x = 4, x = -4, x = -4i and x = 4i.

Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.

Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.

End Behavior: The end behavior of this function is that as x approaches positive or negative infinity the value of f(x) approaches positive infinity.

Hence, the given function has

x-intercepts: x = 0, x = 4, x = -4, x = -4i and x = 4i.

Positive or Negative:  The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.

Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.

End behavior: x approaches positive or negative infinity the value of f(x) approaches positive infinity.

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By taking a quotient, we will see that the first number is 3×10¹³ times larger than the second one.

Here we have two numbers written on scientific notation, and we want to see how many times is the first number larger than the second one.

To see that, we need to take the quotient between the two numbers, so we will get:

(9 × 10⁹)/(3 × 10⁻⁴) = (9/3)× (10⁹/ 10⁻⁴)

Remember that the in the quotient of powers with a same base we just need to take the difference between the exponents, then we will get:

(9/3)*(10⁹/ 10⁻⁴) = 3*10⁽⁹⁺⁴⁾ = 3×10¹³

The first number is 3×10¹³ larger than the second.

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A possible set of coordinate points for E and L are; E(2, 8) and L(6, 0)

We are given the coordinate of the vertices S and C as;

S (1,4) and C (3,0)

Now, when two lines are parallel, it means that their slopes are equal. Now, formula to find the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope of SC = (0 - 4)/(3 - 1)

Slope pf SC = -2

Now, for EL to be parallel to SC, it must have a slope of -2. Thus;

Potential coordinates could be gotten by multiplying Coordinates of SC by 2 to get;

(2, 8) and (6, 0)

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Answer:

1.625 mL

Step-by-step explanation:

2.5 mg per lb

For 130 lb, 130 × 2.5 mg = 325 mg are needed.

1 mL has 200 mg

1 mL is to 200 mg as x ml is to 325 mg

1/200 = x/325

200x = 325

x = 1.625

Answer 1.625 mL

The space taken up by the table is 24 feet².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Kitchen table = 6 feet by 4 feet

This means,

The table is a rectangle.

The area of the table.

= 6 x 4

= 24 feet²

Thus,

The area of the rectangle is 24 feet².

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Out of the following, the statement is It generates testable hypotheses, is supported by a large body of evidence, and is broad in scope is  true of a scientific theory.

A scientific theory is a well-substantiated explanation of some aspect of the natural world that is acquired through the scientific method and repeatedly tested and confirmed through observation and experimentation. A scientific theory is not just an idea or speculation. It is a systematic way of organizing and interpreting observations that are based on facts and evidence. It is also open to being tested and disproved if new evidence arises.

A scientific theory must be supported by a large body of evidence from multiple sources to be considered valid. Furthermore, a scientific theory must be broad in scope and explain a wide range of phenomena. It must also generate testable hypotheses that can be tested and verified through experimentation and observation.

A scientific theory is not accepted until it is thoroughly tested and confirmed through numerous experiments and observations. Therefore, it is not accepted after the person who formulated it has died.

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The amount of interest due on the account is $8.36.

The interest on a loan or deposit can be calculated using simple interest. In order to calculate it, multiply the principal amount by the interest rate and then by the number of time periods (usually in years).

We must first determine the number of days for which the interest will accrue in order to calculate the amount of interest owed on the account. Since the charge was made on the 28th day after the payment was made on the 9th day, the interest will accrue for 19 days instead of the 28 since the payment was made.

We then use the formula for simple interest: Interest = Principal x Rate x Time

In this instance, the Principal is the initial balance of $660, the Rate is the annual percentage rate (APR), which needs to be converted to decimal form by dividing by 100, and the Time is the total number of days over which interest will accrue (19 days).

The Interest = $660 × 0.26 × (19/365) = $8.36

Thus, the total amount of interest due on the account is $8.36.

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Answer:

See below

Step-by-step explanation:

As 0 is included in the first part, this means that there is a jump discontinuity at x=0 for the second part of the function as you can see in the graph.

The correct option regarding the growth rate of the exponential function is given as follows:

For each x increase of 1, the y increases by a common factor of 3.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

As the function in this problem is exponential, the increase of the output y must be a common factor, purely.

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As per the given limit, the rigorous assertion of the function is a − δ < x < a + δ

In math term function is called as  a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output

Here we have given that the distance between two points a and b on a number line is given by  |a−b|.

And we need to find the rigorous assertion of the function.

Then the statement is written as

=> |f(x)−L|<ε

And it can be be interpreted as the distance between f(x) and L is less than ε.

Here we have another statement that is written as  

=> 0<|x−a|<δ

And it ma be interpreted as the value of x≠a and the distance between x and a is less than δ.

Here we have also important to look at the following equivalences for absolute value that the statement  |f(x)−L|<ε  is equivalent to the  statement  L−ε<f(x)<L+ε.

And the statement  0<|x−a|<δ is also equivalent to the statement  a−δ<x<a+δ here we know that x≠a.

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The meaning of a zero in this situation shows that there was a time the player was in a steady position or without movement.

A data set is defined as the number of variables that makes up the data of an event, research or an experiment.

The data sets that was given are {+3, -1, -2, +1} which represent the number of moves that was made by a player.

But when a zero is included in that data set, this means that the player didn't make a move at the particular point in time.

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Answer:

The perimeter of the square is 32x + 20 inches, and the perimeter of the rectangle is (4x - 5) + (4x - 5) + (12x + 15) + (12x + 15) = 32x + 20 inches.

So, to find the value of x that makes the perimeters the same, we set 32x + 20 = 32x + 20 and solve for x.

x = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part one is when you need to do area/perimiter.

DO

The value of k for which the equation has imaginary roots is k > ±2.

For a quadratic equation of the form k²x²-8x+4 to have a real double root, the discriminant (b²-4ac) must be equal to zero. For this equation, the discriminant is (-8)² - 4 * k² * 4 = 64 - 16k².

For the discriminant to be equal to zero, 64 - 16k² = 0 and k² = 4. Therefore, the value of k for which the equation has a real double root is k = ±2.

For a quadratic equation of the form k²x²-8x+4 to have two different double roots, the discriminant (b²-4ac) must be greater than zero. For this equation, the discriminant is (-8)² - 4 * k² * 4 = 64 - 16k².

For the discriminant to be greater than zero, 64 - 16k² > 0 and k² < 4. Therefore, the value of k for which the equation has two different double roots is k < ±2.

For a quadratic equation of the form k²x²-8x+4 to have imaginary roots, the discriminant (b²-4ac) must be less than zero. For this equation, the discriminant is (-8)² - 4 * k^2 * 4 = 64 - 16k².

For the discriminant to be less than zero, 64 - 16k² < 0 and k² > 4. Therefore, the value of k for which the equation has imaginary roots is k > ±2.

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Answer:

200mph

Step-by-step explanation:

The quotient of the expression is 8 × 10² and option C is the correct answer.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Adding exponents while maintaining the same base is the rule for multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

Rewrite as fraction:

[tex]\frac{(5.04) (10^{12})}{(6.3)(10^9)}[/tex]

Simplify using exponent rule with same base [tex]\frac{a^n}{a^m} = a^{(n-m)}[/tex]:

[tex]\frac{(5.04) (10^{12-9})}{(6.3)}[/tex]

Calculate the sum or difference:

[tex]\frac{(5.04) (10^{3})}{(6.3)}[/tex]

Convert fraction into decimal: 0. 8 × 10³ = 8 × 10².

Hence, the quotient of the expression is 8 × 10² and option C is the correct answer.

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