Jack has found a treasure chest filled with over 200 gold coins. If jack separates the coins into 4 equal piles there is 1 coin left over. If jack separates the coins into 7 equal piles there is 1 coin left over. If jack does the same into 9 equal piles with 2 left over. What is the least possible number of coins in the treasure chest Jack found?

Answer:

Podemos utilizar la información proporcionada para escribir la siguiente fórmula y resolverla para encontrar el valor de X, que representa el costo de cada bolsa de naranjas:

6,49 + 8X = 59,53

Para resolver la fórmula, primero debemos despejar la variable X. Restamos 6.49 de ambos lados:

8X = 53,04

Luego, dividimos ambos lados por 8:

X = 6,63

Por lo tanto, cada bolsa de naranjas cuesta $6.63.

Answer:

10

Step-by-step explanation:

25% of 40 1/4*40=40/4=10

The correlation coefficient that represents the strongest downward trend in a data set is -0.83.

The correlation coefficient measures the strength and direction of the relationship between two variables, with values ranging from -1 to 1. A negative correlation coefficient indicates a downward trend, meaning as one variable increases, the other decreases.

The magnitude of the coefficient represents the strength of the relationship, with values close to -1 indicating a strong downward trend and values close to 0 indicating a weak or nonexistent relationship. In this case, among the options provided, the correlation coefficient of -0.83 represents the strongest downward trend.

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Answer:

10413000 visitors

Step-by-step explanation:

117% = 1.17

8900000 times 1.17 = 10413000 visitors

So, there were 10413000 visitors in 2007.

Here we get 1.3 is the growth factor, 0.3 is the growth rate, and 1 is the initial population of amoebas.

Since Madison's population of 1,000 amoebas begins by doubling every hour for a certain number of hours, h.

In other words, the total number of amoebas after one hour is

3*1000=[tex]3^{1}[/tex]*1000.

Total number of amoebas after two hours is equal to 3*3000=[tex]3^{2}[/tex]*1000. The total number of amoebas after three hours is 3*9000=[tex]3^{3}[/tex]*1000.

In a similar manner, the total number of amoebas,

f(h) = [tex](1+0.3)^{h}[/tex]

where the starting amoeba population is 1000. 3 is the population growth factor, and f(h) is the amoeba population after h hours.

Since Tyler begins with a colony of a single amoeba that grows by 30% per hour for a certain length of hours.

In other words, after one hour, there were =[tex](1+0.3)^{1}[/tex]

After two hours, there were a total of =[tex](1+0.3)^{2}[/tex]

After three hours, there were a total of =[tex](1+0.3)^{3}[/tex]

In a similar manner, the total number of amoebas,

f(h) =[tex](1+0.3)^{h}[/tex]

where 1.3 is the growth factor, 1 is the initial population of amoebas and 0.3 is the growth rate.

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The comparison of m∠B to m∠E is that both angles are congruent

From the question, we have the following parameters that can be used in our computation:

A dilation with a scale factor of 2 maps ΔABC to ΔDEF

When a shape is dilated to form another, the corresponsing sides change while the corresponding angles remain the same

Using the above as a guide, we have the following:

Angle B cprresponds to angle E

Hence, the are equal angles

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Answer:

y intercept = -3

the slope of the line is 1

Step-by-step explanation:

y intercept is the value of y when x = 0

x = 0 when y = -3

The body surface area is 1.7 m²

From the question, we have the following parameters that can be used in our computation:

A = (HW/3600)^(1/2)

Where H is the height in cm and W is the weight in kg.

Substitute the known values in the above equation, so, we have the following representation

A = (160 * 64 / 3600)^(1/2)

Evaluate

A ≈ 1.69 m²

Rounding to the nearest tenth:

A ≈ 1.7 m²

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21 feet is the perimeter of the kitchen .

In arithmetic, what is a perimeter?

The perimeter is the space surrounding a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole distance that the sides or limits of a rectangle cover is known as its perimeter.

                          The perimeter of a rectangle will be equal to the sum of its four sides because rectangles have four sides.

on a blueprint, a rectangular kitchen has a length = 4 inches

                                                  a width = 3 inches

   So it's width is equal to = 6/4 * 3

                                     = 4.5 feet

   the perimeter of this kitchen is = 2(6 + 4.5 )

                                            = 2 * 10.5 = 21 feet

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Answer:

Step-by-step explanation:

if we divide each side with 2,

(2(y-4))/2>0/2

y-4>0

y>4

Answer:

y  > 4

Step-by-step explanation:

2(y - 4) > 0

Solving the inequality:

Divide each side by 2.

2/2(y - 4) > 0/2

y - 4 > 0

Add 4 to each side.

y - 4+4 > 0+4

y  > 4

Answer: 166.5 inch.

Explanation:

There are a lot of steps to this. First of all, as seen in the picture below, we split the shape into a triangle and a rectangle. We can first find the area of the triangle first, which would be:

[tex]\frac{45}{2}[/tex] = 22.5 inch.

Next, using the pythagoras theorem, we can find the missing side of the triangle. So, we do:

[tex]\sqrt{7.5^2+6^2} = x\\\\\frac{3\sqrt{41} }{2} = x = 9.6[/tex]

Now we have that side, we can calculate the area of the rectangle, which would be 16 x 9 = 144 inch.

So now we can add both areas:

144 + 22.5 = 166.5 inch.

Letters which represent negative integers on a number line are present on the left side of zero and you can also identify them with the minus sign they carry.

What is  number lines ?

Integers are arranged at equal intervals along horizontal, straight lines known as number lines. A number line can be used to visualize all the numbers in a succession. Both endpoints of this line continue indefinitely.

                             The number line is a straightforward straight line with divisions indicated at regular intervals, much like a scale. Any point can be selected as "0," and all positive and negative numbers are arranged to the right and left of the "0" respectively.

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The complete question is -

Identify the letter that represents the following number negative integers on a number line .

Considering all the given information, the probability of a widget being less than or equal to 56 is approximately 0.1587

The formula for converting a value to a standard score, also known as a z-score, is:

z = (x - μ) / σ

Where x is the value of interest, μ is the mean, and σ is the standard deviation.

To find the probability of a widget being less than or equal to 56, we first find the corresponding z-score:

z = (56 - 65) / 9 = -1

We can then use the cumulative distribution function (CDF) of the standard normal distribution to find the probability of a z-score being less than or equal to -1:

P(z ≤ -1) = 0.1587

So the probability of a widget being less than or equal to 56 is approximately 0.1587, or 15.87%.

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All four data  which is  number of questions answered correctly in a multiple-choice quiz and numbers of tickets sold for a football game and heights of members of a baseball team and population of towns within a state are continuous data.

Countable data is referred to as continuous data. The values in this data are not constant and can take on an endless number of different forms. You can also divide these measures up into smaller, independent components. Examples of continuous data include the following: A person's height or weight

in a) number of questions answered correctly in a multiple-choice quiz can be count

b.) numbers of tickets sold for a football game can be count and c.) heights of members of a baseball team can be measure and d.) population of towns within a state can be count .

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Answer:

The population of the city in 2020 was 89,500 to the nearest 100 people.

Step-by-step explanation:

The original population in 2010 is 100%.  

If the population is increased by 7.7% from 2010 to 2015, the total percentage in 2015 is 107.7% of the population in 2010.

Convert this to a decimal and multiply by the original population of 87,000 to find the population of the city in 2015.

[tex]\begin{aligned}\implies \sf 107.7\%\;of\;87000&=\sf 1.077 \times 87000\\&=\sf 93699\end{aligned}[/tex]

Therefore, the population of the city in 2015 was 93,699.

The population in 2015 is 100%.  

If the population is decreased by 4.5% from 2015 to 2020, the total percentage in 2020 is 95.5% of the population in 2015.

Convert this to a decimal and multiply by the population in 2015 to find the population of the city in 2020.

[tex]\begin{aligned}\implies \sf 95.5\%\;of\;93699&=\sf 0.955 \times 93699\\&=\sf89482.545 \end{aligned}[/tex]

Therefore, the population of the city in 2020 was 89,500 to the nearest 100 people.

Answer:

(-3,1)

Step-by-step explanation:

The value of x [tex]\frac{-9+3}{2}[/tex] = -3

The value of y [tex]\frac{4-2}{2}[/tex] = 1

Answer:

Mid point is (-3, 1)

Step-by-step explanation:

Let mid point be M

[tex] { \boxed{ \sf{m = ( \frac{x _{1} + x _{2} }{2}} , \: \frac{y _{1} + y _{2}}{2}) }} \\ \\ { \tt{m = ( \frac{ - 9 + 3}{2} , \: \frac{4 - 2}{2} )}} \\ \\ { \tt{m = ( \frac{ - 6}{2}, \: \frac{2}{2} ) }} \\ \\ { \tt{m = ( - 3, \: 1)}}[/tex]

The number of computer chips produced in 3 months will be 2515.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year.

The number of chips will be calculated as:-

f(x) = 5x + 2,500

f(3) = 5 x 3 + 2500

f(3) = 15 + 2500

f(3) = 2515

Therefore, the number of chips will be 2515.

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Answer:  We can predict that the rolls will result in a sum greater than 9 approximately 24 times.

Step-by-step explanation: The theoretical probability of both rolls equaling a sum greater than 9 is given as 6/36. To predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times, we can use the concept of probability.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the probability of both rolls resulting in a sum greater than 9 is 6/36, which simplifies to 1/6. This means that out of every 6 possible outcomes, 1 will result in a sum greater than 9.

To predict the number of times this will occur in 144 repetitions, we can multiply the probability by the number of repetitions:

(1/6) * 144 = 144/6 = 24

Therefore, we can predict that the rolls will result in a sum greater than 9 approximately 24 times if the experiment is repeated 144 times.

Therefore , the solution of the given problem of equation comes out to be the equation of the parabola in standard form is x² - 10x - 12y + 13 = 0

In arithmetic equations, the identical figure (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12.

Here,

The distance between the focus and vertex is the same as the distance between the vertex and directrix, which is |-4 - (-1)| = 3. This distance is also equal to the absolute value of the coefficient "a" in the equation of the parabola.

Therefore, the equation of the parabola in vertex form is:

(x - 5)² = 4p(y + 1)

where "p" is the distance between the vertex and the focus, which is 3. Substituting this value into the equation gives:

(x - 5)² = 4(3)(y + 1)

Simplifying:

(x - 5)² = 12y + 12

Expanding the left side:

x² - 10x + 25 = 12y + 12

Moving all the terms to one side:

x² - 10x - 12y + 13 = 0

So the equation of the parabola in standard form is:

x^2 - 10x - 12y + 13 = 0

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Answer:-1/2

Step-by-step explanation:

Take two points and use the formula (y2-y1)/(x2-x1). I used (0,4) and (4,2) as my set of coordinate pts.

The required [tex]f(x) = x/10[/tex] is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

For a function f(x) to be a valid probability distribution function (pdf) for a discrete random variable X, it must satisfy the following conditions:

Non-negativity: [tex]f(x) = x/k[/tex] is non-negative for all x when k > 0.

Normalization: We need to find the value of k such that the sum of the probabilities for x = 0, 1, 2, 3, 4 is equal to 1.

[tex]f(x) = x/k[/tex] for x = 0, 1, 2, 3, 4.

The sum of the probabilities is given by:

[tex](0/k) + (1/k) + (2/k) + (3/k) + (4/k) = 1[/tex]
[tex]10/k = 1[/tex]

So, k = 10.

Thus,[tex]f(x) = x/10[/tex] is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.

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Answer:

18 Rials

Step-by-step explanation:

54 divided by 3= 18

The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables.

0.8: Strong Association

0.25: Weak Association

0.9: Strong Association

0.65: Moderate Association

The correlation coefficient is a numerical measure of the strength of the linear relationship between two variables. Values of the correlation coefficient fall between -1 and +1. A coefficient of 0 implies that there is no linear relationship between two variables. The closer the coefficient is to either -1 or +1, the stronger the correlation. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.

The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.

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The measures of the three angles are 60 degrees, 75 degrees and 45 degrees.

A semi-circle has a total angle measure of 180 degrees. The sum of the angles formed by the two arcs must equal the total angle measure of the semi-circle.

Let's call the angle formed by the first arc "angle A" and the angle formed by the second arc "angle B".

From the given information, we know that:

angle A = 60 degrees

angle B = 75 degrees

So, angle A + angle B = 60 degrees + 75 degrees = 135 degrees

Since the total angle measure of the semi-circle is 180 degrees, the measure of the remaining angle is:

180 degrees - 135 degrees = 45 degrees

Therefore, the measures of the three angles are:

angle A = 60 degrees

angle B = 75 degrees

angle C = 45 degrees

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Question: Ned made the design at the right. Use a protractor. Find and write the measure of the 3rd angle with given 60 and 75 degrees.

Answer:

r = -5

Step-by-step explanation:

To find the value of 'r', use the slope formula.

(4, 2)    ; x₁ = 4  and y₁ = 2

(5 , r ) ;  x₂ = 5  and y₂= r

            [tex]\boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

         [tex]\dfrac{r -2}{5 - 4 }= -7\\\\\dfrac{r -2}{1}=-7[/tex]

          r - 2 = -7

              r = -7 + 2

             r = -5

In Adventures of Huckleberry Finn, at first, Huck feels good about writing to Jim's owner.

Adventure is an exciting experience or undertaking that is usually daring, sometimes risky. Adventures can be dangerous activities such as travel, exploration, skydiving, mountain climbing, diving, rafting or other extreme sports.

here, we have,

Adventures are often undertaken for psychological excitement or to achieve a greater goal, such as the pursuit of knowledge that can only be obtained through such activities.

Adventure not only expands your mind, increasing  courage, but also gives you the opportunity to grow and learn. New environments and cultures are full of meaningful lessons that you may not encounter in your everyday life. Adventures expand the way we see and interact with the world.

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The volume of cuboid is 180 cubic centimeters.

As we know the formula for the volume of the cuboid is given as:

V = l × w × h

where, V is the volume of the cuboid

l is the length of the cuboid

w is the  width of the cuboid

and h is the height of the cuboid

Here, the dimensions of the cuboid are: 9cm × 4cm × 5cm

Let the length of the cuboid is l = 9 cm,

the width of the cuboid is w = 4 cm

and the height of the cuboid is h = 5 cm

Using above formula of volume of cuboid,

V = l × w × h

substitute values, l = 9, w = 4 and h = 5

⇒ V = 9 × 4 × 5

⇒ V = 180 cm³

Therefore, the volume of cuboid 180 cubic centimeters

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In order to determine the exact nature of the distribution, Professor X would need to analyze the data in more detail, for example, by creating a histogram or other visual representation of the grades, and conducting statistical tests to determine the nature of the distribution.

If Professor X finds that the grades on the first exam for their statistics class either did really well or really poorly, it suggests that the distribution of grades is bi-modal, meaning there are two distinct peaks in the distribution. This means that some students did very well on the exam and scored high grades, while others did very poorly and scored low grades, with very few students scoring grades in between these two groups.

A bi-modal distribution is not a common occurrence in a typical exam setting, as most exams tend to have a normal or bell-shaped distribution with a single peak, where the majority of students score around the average or mean grade. The bi-modal distribution found by Professor X could be due to a variety of factors, such as students having widely differing levels of prior knowledge, or students' varying levels of preparation for the exam.

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