Find the number that makes the ratio equivalent to 1:9.

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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If a scale factor of 14/7 is applied to a set of coordinates, the triangle is: 2. enlarging.

A scale factor can be defined as the ratio of two corresponding length of sides or diameter in two similar geometric objects (shapes) such as equilateral triangles, quadrilaterals, polygons, etc.

In Mathematics, the following rules are applied to interpret and understand the dilation of a geometric figure:

Scale factor = 14/7

Scale factor = 2  ⇒ (2 > 1)

Therefore, the triangle was enlarged.

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Complete Question:

If a scale factor of 14/7 is applied to a set of coordinates is the triangle reducing, enlarging, or staying the same?

1. Reducing

2. Enlarging

3. Staying the same.​

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\).

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

\(5x + y = 11\)   \(.......... (i)\)

\(3x - y = 9\)   \(...........(ii)\)

To solve we will multiply equation \((i)\) by \(3\) and equation \((ii)\) by \(5\),

\(15x + 3y = 33\)   \(..........(iii)\)

\(15x -5y = 45\)   \(..........(iv)\)

Now, adding both equations \((iii)\) and \((iv)\) ,

We get,

\(8y=-12\)

\(y=-\frac{3}{2} =1.5\)

Now putting value of \(y=-\frac{3}{2} =1.5\) in equation \((i)\) ,

\(5x+(\frac{-3}{2} )=11\)

\(x=\frac{5}{2} =2.5\)

So, using the elimination method we find out the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\), which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\).

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Answer:

:P

Step-by-step explanation:

Answer: 1513.50=961.50+46x

The number of players the team can bring to the tournament = 12.

Step-by-step explanation:

Let x= the number of players the team can bring to the tournament.

Total money raised = Rent of bus + (Cost per player) (Number of players)

\(1513.50=961.50+46x\\\\\Rightarrow\ 46x=1513.50-961.50\\\\\Rightarrow\ 46x = 552\\\\\Rightarrow x=\dfrac{552}{46}\\\\\Rightarrow x=12\)

Hence, the number of players the team can bring to the tournament = 12.

Answer:

x = 2 11/12

Step-by-step explanation:

First of all, on the right you have to combine 15x+3/7x which equals 15 3/7x.

9x + 45 = 15 3/7x

-9x              -9x             Next step is to subtract 9x from both sides.

45 = 15 3/7x

/              /

15 3/7   15 3/7        Third step is to divide 15 3/7 on both sides to leave x          

                              by itself.

35/12 = 2 11/12 = x

x = 2 11/12

The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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If A and B are disjoint events, then the probability of A or B is the sum of their individual probabilities. However, this does not necessarily mean that A and B are independent events.

If A and B are independent events, then the probability of both A and B occurring is the product of their individual probabilities. However, if A and B are disjoint, then the probability of both A and B occurring is zero. Therefore, A and B cannot be independent if they are disjoint events.Hence, the correct answer is (ii) No. A and B are disjoint events, which means that they do not have any outcomes in common. If A and B are independent events, then the occurrence of one event will not affect the occurrence of the other event. If A and B are not independent events, then the occurrence of one event will affect the occurrence of the other event.

Since A and B are disjoint events, they cannot be independent events. If A and B are independent events, then they cannot be disjoint events. Hence, the correct answer is (ii) No

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Answer:

Flour = 5 1/4 Cups

Sugar = 3 Cups

Milk = 1 Cup

Step-by-step explanation:

4 Dozens = Respectively 1 3/4, 1, and 1/3 Cups -->

4(3) = 12 Dozens --> Otherwise A Gross

--> Multiply the formula by 3

7/4 x 3 = 21/4

1 x 3 = 3

1/3 x 3 = 1

Convert to a mixed number

Thus You have your answers

Hope this helps!

Answer:

5/7 is the correct answer I think

Step-by-step explanation:

........

The probability that the sample proportion will be 0.104.

What is Probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something has been likely to happen is basically what probability means. You will learn the potential outcomes for just a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total list of answers is necessary before we can calculate the likelihood that a specific event will occur.

Given that

p= 0.06

1 - p = 1 + 0 * 6 = 0 * 94

n = 221

p' = p = 0.06

sigma( p) = \(\sqrt{\frac{P(1 - P))}h{} }\)

= \(\sqrt{\frac{0.06*0.94}{221} }\)

=0.0159

p( p' > 0.1 )=1-p( p' <0.1)

= 1 - p(z < 2.51)

=1- .896

= 0.104

Hence the Probability will be 0.104

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First distribute the 2 through the parenthses on the right side.

So we have y - 4 = 2x + 8.

In slope-intercept form, the y is by itself on the left side.

So we add 4 to isolate the y on the left to get y = 2x + 12.

So in slope-intercept form, our equation is y = 2x + 12.

Answer: one cup is 4 dollars

Step-by-step explanation

The value of the expression f(g(-1)) is -109.

To find the value of the expression f(g(-1)), we need to evaluate the functions g(x) and f(x) and then substitute g(-1) into f(x).

First, let's evaluate the function g(x) by substituting x = -1:

g(-1) = 5(-1)² - 4(-1) - 5

     = 5(1) + 4 - 5

     = 5 + 4 - 5

     = 4

Next, we substitute g(-1) = 4 into the function f(x):

f(g(-1)) = f(4) = -7(4)² + 3(4) - 9

        = -7(16) + 12 - 9

        = -112 + 12 - 9

        = -109

Therefore, the value of the expression f(g(-1)) is -109.

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The statement \[\sin \theta=8.53\] is impossible.

For this reason, when deciding whether the statement is possible or impossible, the answer is impossible.What is sine?In trigonometry, sin is a function that returns the ratio of the opposite side of a right triangle to the hypotenuse. The sine is the ratio of the opposite side of a right-angled triangle to the hypotenuse. Since the hypotenuse is always larger than or equal to the opposite side, the sine will always be between 0 and 1.

The statement \[\sin \theta=8.53\] is impossible since the sine value can not be greater than 1 and less than 0. The range of values that the sine function can take is between -1 and 1. The sine values of an angle will always fall between -1 and 1. Therefore, the answer is impossible.

The trigonometric function \(\sin \theta\) relates the angles to the sides of the triangle. The function relates the opposite side and hypotenuse of an angle in a right triangle.

The values of the sine function can be between -1 and 1. The sine of any angle is between -1 and 1. It is not possible to obtain the sine of an angle that is greater than 1 or less than -1.

For the statement \[\sin \theta=8.53\] to be valid, the sine function should have a value of 8.53. Since the maximum value of the sine function is 1, it is not possible for the sine function to have a value of 8.53. Therefore, the statement is impossible.

The statement \[\sin \theta=8.53\] is impossible. This is because the value of the sine function is always between -1 and 1. Any other value of the sine function is impossible to find. Therefore, the answer is impossible.

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The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of  the mixing ratio

The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.

Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.

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Answer:

1/14 ; 1/35

Step-by-step explanation:

A

6/10 x 5/9 x 4/8 x 3/7

3/5 x 5/9 x 1/2 x 3/7

1 x 1/3 x 3/14

1/14

B

4/10 x 3/9 x 2/8 x 6/7

2/5 x 1/3 x 1/4 x 6/7

2/15 x 3/14

1/5 x 1/7

1/35

The probability that  4 creature cards is pulled is 1/14 and the probability that 3 land cards and 1 creature card is pulled is 4/35

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here there are 4 land cards and 6 creature cards

thus selecting four cards at random from 10 cards is  ¹⁰C₄=210

and the event of selecting 4 creature cards from a total of 6 cards is ⁶C₄ =15

Therefore probability of pulling 4 creature cards is = 15/210

                                                                                     = 1/14

The probability of pulling 3 land cards and 1 creature cards is    

= ⁴C₃ × ⁶C₁   /  ¹⁰C₄

= 4/35

Hence 1/14 and 4/35 are the respective probabilities.

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Answer:

163

Step-by-step explanation:

Given the following :

Number of visitors on Friday = 3,260

Number increased by 15% on Saturday

Projected percentage increase on Saturday = 20%

Actual percentage increase in number of visitors = 15%

Number of visitors on Saturday :

(100 + 15)% × 3260

115% * 3260

(115/100) * 3260

= 3749 visitors

Projected percentage increase = 20%

Projected number:

((100 + 20)% * 3260

120% * 3260

(120/100) * 3260

= 3912

Difference : (3912 - 3749) = 163

Answer:

40

Step-by-step explanation:

so it is 3X3 +13 =40

0.8133 is the probability  that a randomly chosen test taker will score between 560 and 640.

Probability is the possibility that something will happen, to put it simply. We can talk about the chance or likelihood of various outcomes when we don't know how an event will turn out. Events that follow a probability distribution are the subject of statistics.

Probability is a branch of mathematics that deals with numerical representations of how likely it is for an event to occur or for a proposition to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates that the event is impossible and 1 indicates certainty.

P(540< x 640)

=  P ( \(\frac{560 - 560}{90}\) < \(\frac{x - mu}{sigma}\) < \(\frac{640-560}{90}\) )

By resolving this, we will obtain a probability ranging from zero to triple zero. Therefore, the likelihood will be zero. Less than zero 89 minutes our chance of being zero is zero. The values are now zero 8133 -0.5 triple zero when utilizing the table. And if we take it out, we get 0.31 33. Therefore, our likelihood of facts here ranges from 5 to 6 40. Its double three at 0.31. Therefore, this is the response to your query.

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Given a point with coordinates (x, y), to rotate 90º counterclockwise, the rule is:

In thisc ase, we have the point:

Applying the rule:

Answer:

120

Step-by-step explanation:

Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Answer:

-4

Step-by-step explanation:

That's the answer above

the answer is C, hope this helps.

Answer:

BELOW

Step-by-step explanation:

(Y, X)

Y=-1

X=1

*** ACCORDING TO MY SOLUTION THE ANSWER IS (-1,1)

we have the inequality

y > -1.25

the solution is the interval (-1.25, infinite)

Note that the number -1.25 is not included in the solution

so

Verify each statement

2) -1.75 is a solution ------> false

3) all the solutions are negative -------> false

Since the columns of F(t) are linearly independent and span the solution space of the ODE x' = Ax, we can affirm that they form a fundamental set of solutions to the ODE.

To show that the columns of the matrix-valued function F(t) form a fundamental set of solutions to the ODE x' = Ax, where A is an n x n matrix, we need to demonstrate two properties: linear independence and span.

1. Linear Independence:

We need to show that the columns of F(t) are linearly independent. Let's assume that there exist coefficients c1, c2, ..., cn such that the linear combination c1F1(t) + c2F2(t) + ... + cnFn(t) = 0, where Fi(t) represents the ith column of F(t).

Now, considering the ODE x' = Ax, we can rewrite it as:

x' = F'(t)x

Since F(t) is nonsingular for all t, its columns are linearly independent. Therefore, the only solution to the equation c1F1(t) + c2F2(t) + ... + cnFn(t) = 0 is when c1 = c2 = ... = cn = 0. This proves that the columns of F(t) are linearly independent.

2. Span:

We need to show that the columns of F(t) span the solution space of the ODE. Let x(t) be a solution to the ODE x' = Ax. We can write x(t) as a linear combination of the columns of F(t):

x(t) = c1F1(t) + c2F2(t) + ... + cnFn(t)

Taking the derivative of both sides, we have:

x'(t) = c1F1'(t) + c2F2'(t) + ... + cnFn'(t)

Since F(t) satisfies the ODE x' = Ax, we have:

x'(t) = F'(t)x(t) = (F'(t))(c1F1(t) + c2F2(t) + ... + cnFn(t))

Expanding the right-hand side, we obtain:

x'(t) = c1(F'(t)F1(t)) + c2(F'(t)F2(t)) + ... + cn(F'(t)Fn(t))

Notice that F'(t)Fj(t) represents the jth column of F'(t) (the derivative of F(t)).

Therefore, we have shown that x'(t) can be expressed as a linear combination of the columns of F'(t), which implies that x(t) can be expressed as a linear combination of the columns of F(t). Thus, the columns of F(t) span the solution space of the ODE.

In conclusion, since the columns of F(t) are linearly independent and span the solution space of the ODE x' = Ax, we can affirm that they form a fundamental set of solutions to the ODE.

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The probability of getting 5 face cards when taken without replacement is 0.00030473728.

There are 12 face cards in the deck overall.

When six cards are dealt, 12C5 equals 792.

without a replacement

P (5 face cards) = 12/5

P(5)=792 / 2598960 for five face cards.

P(5)=0.00030473728 for five face cards.

When 6 cards are picked from a deck without replacement, the likelihood of getting 6 face cards (a king, queen, or jack) is therefore 0.00030473728.

Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a claim is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 indicates the event's impossibility and 1 indicates its certainty.

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