The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Answer: \((x+3)^2+(y-6)^2 = 36\\\\\)

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Explanation:

If you apply the midpoint formula to the given points, you should find the midpoint is (3,6). This point represents the center of the circle. This means (h,k) = (3,6).

The radius is r = 6 because this is the distance from the center to either given endpoint. Either count out the spaces or use subtraction of the x coordinates. This works because the y coordinates are all the same.

Use those h, k and r values to plug them into the equation below

\((x-h)^2+(y-k)^2 = r^2\\\\(x-(-3))^2+(y-6)^2 = 6^2\\\\(x+3)^2+(y-6)^2 = 36\\\\\)

which represents the equation of the circle we're after.

The graph is below.

We are aware that a discrete function is one that satisfies the criteria for a function and has a countable domain (represented as a collection of disconnected points) (each input has at most one output). Many inputs in discrete functions won't have any outputs.

According to the inquiry,

All three of the functions have a y-intercept and, given the facts in the question, f(x) is the highest maximum.

The largest maximum of the three functions—g(x), f(x), and f(y)—has an x-intercept.

Three distinct discrete functions are displayed in the table.

f(x)minimum: 1 g(x)minimum; -4 12 h(x)minimum-5; as a result, f(x)maximum: 10 g(x)maximum; 3 12 h(x)maximum; 12 f(x)domain; (0, 2) g(x)domain; (-2, 2) h(x)domain; (0, 1) g(x)y-inter (0, -5)

Using the procedures above, we may conclude that f(x) has no x.

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Answer:

15x + 180 ≥ 900

x ≥ 48

Step-by-step explanation:

x = amount of laptops needed to sell.

Equation:

15x + 180 ≥ 900

15x ≥ 720

x ≥ 48

Check:

15(48) + 180 = 900

720 + 180 = 900

900 = 900 (It's good, she needs to make at least 900, so she needs to sell at least 48 laptops).

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

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Answer:

Step-by-step explanation:

By showing that the corresponding sides are not proportional we know that the Triangles △fgh and △jih are not similar.

To prove that triangles △fgh and △jih are not similar, we need to show that at least one pair of corresponding sides is not proportional.
Let's compare the side lengths:

Side fg does not have a corresponding side in △jih.
Side gh in △fgh corresponds to side hi in △jih.
Side fh in △fgh corresponds to side ij in △jih.

By comparing the side lengths, we can see that side gh/hj and side fh/ij are not proportional.

Therefore, triangles △fgh and △jih are not similar.

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Triangle FGH (△FGH) is not similar to triangle JIH (△JIH) because their corresponding angles are not congruent and their corresponding sides are not proportional.

To prove that triangle FGH (△FGH) is not similar to triangle JIH (△JIH), we need to show that their corresponding angles and corresponding sides are not proportional.

1. Corresponding angles: In similar triangles, corresponding angles are congruent. If we compare the angles of △FGH and △JIH, we find that angle F in △FGH corresponds to angle J in △JIH, angle G corresponds to angle I, and angle H corresponds to angle H. Since the corresponding angles in both triangles are not congruent, we can conclude that the triangles are not similar.

2. Corresponding sides: In similar triangles, corresponding sides are proportional. Let's compare the sides of △FGH and △JIH. Side FG corresponds to side JI, side GH corresponds to side IH, and side FH corresponds to side HJ. If we measure the lengths of these sides, we can see that they are not proportional. Therefore, the triangles are not similar.

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Determining the 3PL with the most distribution space requires specific data on the size and capacity of each company's facilities.

The 3PL identified as having the most distribution (warehousing) space in square feet cannot be determined without specific information or data.

There are many asset-based 3PLs in the logistics industry, and their distribution space can vary significantly based on factors such as company size, industry focus, geographic coverage, and investments in facilities.

Without specific data on the distribution space of each asset-based 3PL, it is not possible to determine which one has the most square footage.

Asset-based 3PLs are companies that own and operate their own assets, such as warehouses, trucks, and equipment, to provide logistics and supply chain services.

These companies often make significant investments in their facilities to ensure efficient storage and distribution of goods for their clients.

Some large 3PL providers may have extensive warehousing networks and substantial distribution space, while smaller or specialized providers may have more focused or limited warehouse capacities.

Therefore, determining the 3PL with the most distribution space requires specific data on the size and capacity of each company's facilities.

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Answer:

763.65

Step-by-step explanation:

The digit 4 is in question here.

8 is greater than 5, so the 4 is rounded up to 5

763.65

Answer:

u=1

v = 10

Step-by-step explanation:

For the triangles to be congruent

IG = PR

50 = u+49

50 - 49 = u

1 = u

GH = RQ

v+6 = 16

v = 16-6

v = 10

The ordered pairs that are solutions to the inequality in this problem are given as follows:

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

The ordered pairs that are solutions to the inequality are in the shaded region for this problem, hence they are given as follows:

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Answer:

195

Step-by-step explana

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

цр = р

The standard deviation of this sampling distribution of sample proportion is:

бр = √ρ(1-ρ)÷n

The information provided is:

ρ = 0.22

ⁿ = 276

As the sample size is large, i.e. n = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of P(р-p<0.06) as follows:

P(р-p<0.06) = P(р-p ÷ бp<0.06 ÷√0.22(1 - 0.22) ÷ 276

= P ( Z < 2.41 )

= 0.99202

≈ 0.992

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

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The answer to that blank is golden ratio.

It is because during the construction of the pantheon in paris golden ratio was used, thus it is the answer to the fiil up.

The Pantheon in Paris is a neoclassical building that was designed by the architect Jacques-Germain Soufflot in the 18th century.It is known for its impressive proportions and use of mathematical principles in its design.

The building is circular in plan and has a dome that rises above the centre of the structure. The diameter of the dome is equal to the height of the building, creating a perfect sphere.

The height of the building and the diameter of the dome are also related by a mathematical formula known as the golden ratio, which is a ratio of approximately 1.618.

This mathematical proportion is often found in nature and is believed to be aesthetically pleasing to the human eye. The use of mathematical principles in the design of the Pantheon in Paris demonstrates the importance of math in architecture and the visual arts.

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By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Answer:

The answer is 2 6/8

Step-by-step explanation:

Answer:

21 - (8 x 2) = 5

We've now simplified 21/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 5/8

A. The raw score for a percentile rank of 80 is approximately 82.4.

B. The raw score that falls at the 93rd percentile is 114.324.
C. The score that falls at the 11th percentile is 30.93.

D. The raw score that would be equivalent to a percentile rank of 29 is 79.20.

E. The raw score that falls at the 95th percentile is 99.75.

F. The value of the equivalent raw score is 74.17.

A. To calculate the raw score for a percentile rank of 80 first convert percentile rank to a z-score using the standard normal distribution table or a calculator.

The z-score corresponding to a percentile rank of 80 is approximately 0.84.

Then use the z-score formula to find the corresponding raw score.

z = (x - μ) / σ where, x is the raw score, μ is the mean, and σ is the standard deviation.

Plugging in the given values, we get:

0.84 = (x - 75) / 10

Solving for x, we get:

x = (0.84)(10) + 75 = 82.4

Therefore, the raw score for a percentile rank of 80 is approximately 82.4.

B. We can calculate the z-score from the percentile rank:

PR = 93

=> area to the left of z-score is 0.93.

Using the standard normal distribution table, the corresponding z-score is 1.48.
z = (x - μ) / σ

=> 1.48 = (x - 105) / 6.30

=> x = 105 + 1.48 * 6.30 = 114.324.
Therefore, the raw score that falls at the 93rd percentile is 114.324.

C. Similar to part A, we can calculate the z-score from the percentile rank:

PR = 11

=> area to the left of z-score is 0.11.

Using the standard normal distribution table, the corresponding z-score is -1.23.

z = (x - μ) / σ

=> -1.23 = (x - 38.70) / 6.31

=> x = 38.70 - 1.23 * 6.31 = 30.93.
Therefore, the score that falls at the 11th percentile is 30.93.

D. We can calculate the z-score from the percentile rank:

PR = 29

=> area to the left of z-score is 0.29.

Using the standard normal distribution table, the corresponding z-score is -0.54.
z = (x - μ) / σ

=> -0.54 = (x - 90) / 20

=> x = 90 - 0.54 * 20 = 79.20.
Therefore, the raw score that would be equivalent to a percentile rank of 29 is 79.20.

E. Similar to part A and C, we can calculate the z-score from the percentile rank:

PR = 95

=> area to the left of z-score is 0.95.

Using the standard normal distribution table, the corresponding z-score is 1.65.

z = (x - μ) / σ

=> 1.65 = (x - 75) / 15

=> x = 75 + 1.65 * 15 = 99.75.

Therefore, the raw score that falls at the 95th percentile is 99.75.

F. T-score is calculated as:

T = 10z + 50, where z is the z-score corresponding to the raw score.

26 = 10z + 50 => z = (26 - 50) / 10 = -2.4.

z = (x - μ) / σ => -2.4 = (x - 110) / 14.93 => x = 110 - 2.4 * 14.93 = 74.17.

Therefore, the value of the equivalent raw score is 74.17.

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Answer:

x > 4

Step-by-step explanation:

Answer:

x  >  4

Step-by-step explanation:

the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane

the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward can be calculated as follows:The y-coordinate of the ball = (y-coordinate of the center of the ball) - (the radius of the ball)As per the given problem, the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane.Hence, the y-coordinate of the ball = 0 - 2= -2Therefore, the y-coordinate of the ball is -2.

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The value of the variable x, y, and z will be negative 7, 2, and negative 1, respectively.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

x + y + z = -6                       ...1

2x + (1/2)y - 7z = -6             ...2

-3x - 4y + 5z = 8                ....3

Multiply equation 2 by -2 and add with equation 1, then we have

-3x + 15z = 6      ...4

Multiply equation 1 by 4 and add with equation 3, then we have

x + 9z = - 16

x = - 9z - 16

Put the value of y in equation 4, then we have

- 3 (-9z - 16) + 15z = 6

27z + 15z + 48 = 6

42z = -42

z = -1

Then the value of x will be

x = - 9 (-1) - 16

x = 9 - 16

x = -7

Then the value of y will be

- 7 + y - 1 = -6

y = 8 - 6

y = 2

The value of the variable x, y, and z will be negative 7, 2, and negative 1, respectively.

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Answer:10

Step-by-step explanation:

Answer:

4x+7=27

Step-by-step explanation: The answer you think is correct ! So the 4 times a number is 4x the four being a coefficient and X being the unknown number( variable ) and increase is adding so its +7 and is is just an another word for equal =

Number of males:19

Number of females:12

Step-by-step explanation:

Answer:

ΔCFG is an isosceles triangle.

Step-by-step explanation:

From the picture attached,

From ΔABF and ΔEDG,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

2). (BC + CF) = (DF + CG)

CF = CG [Given → BC = DF]

3). FA ≅ EG

(AG + GF) ≅ (EF + GF)

AG ≅ EF

Since, two sides of ΔCFG are equal in measure

ΔCFG is an isosceles triangle.

This can be determined by property of congruency. Hence, \(\bold{2^{nd}}\)option i.e. ΔCFG is an isosceles triangle is most appropriate.

Given :

From figure ΔABF and ΔEDG  are congruence by SSS property.

Proof:

From ΔABF and ΔEDG in figure,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

   (BC + CF) = (DC + CG)

2). BF≅DG

     CF = CG [Given → BC = CD]

3). FA ≅ EG

     (AG + GF) ≅ (EF + GF)

    AG ≅ EF

Therefore, two sides of ΔCFG are equal in measure.

Thus,ΔCFG is an isosceles triangle.

Hence, \(\bold{2^{nd}}\) option i.e. ΔCFG is an isosceles triangle is most appropriate.

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Distance between the points (-3, 5, -7) and (2, -4, 6) is 5√11 units.

What is cartesian coordinate points?

The Cartesian coordinates of a point in three dimensions are the triple (x, y, z). The three numbers or coordinates give the signed distance from the origin along the x, y, and z axes respectively.

Solution:

Given, x1 = -3     ,  x2 = 2

           y1 = 5      ,  y2 = -4

           z1 = -7     ,  z2 = 6

The formula for finding the distance between two points on 3D graph is given below

Distance =√((x2-x1)²+(y2-y1)²+(z2-z1)²)

⇒Distance =√{(2-(-3))²+(-4-5)²+(6-(-7))²}

⇒Distance =√{(2+3)²+(-9)²+(6+7)²}

⇒Distance =√{5²+81+13²}

⇒Distance =√(25+81+169)

⇒Distance =√275

⇒Distance =5√11

Thus, the distance between (-3, 5, -7) and (2, -4, 6) is 5√11.

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According to the given information the distance between the points 16.58 units.

the algebraic phrase known as the distance formula, which provides the distances between two places in terms of respective dimensions (see coordinate system). The distance formulae for locations in rectangular coordinates in two- and two half Euclidean space are based upon that Pythagorean theorem.

We can determine an object's actual size by learning how far it is from us. The area that an object occupies in the sky may be measured. The distance to an object is then necessary to calculate its real size. An thing appears smaller the farther it is away.

The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂)

\(\begin{equation}d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}\end\)

x₁, y₁, z₁ = -3, 5, -7

x₂, y₂, z₂ = 2, -4, 6

\(\begin{equation}d=\sqrt{\left(2+3\right)^2+\left(-4-5\right)^2+\left(6+7\right)^2}\\\begin{equation}d=\sqrt{\left(5\right)^2+\left(-9\right)^2+\left(13\right)^2}\\\begin{equation}d=\sqrt{25+81+169}\\\begin{equation}d=\sqrt{275}\\\)

= 16.58 units

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Answer:

P(0, 4 ), Q(2, 0 )

Step-by-step explanation:

To find P, with an x- coordinate of 0

Substitute x = 0 into the equation and solve for y

4(0) + 2y = 8 , that is

2y = 8 ( divide both sides by 2 )

y = 4

Thus P(0, 4 )

To find Q with a y- coordinate of 0

Substitute y = 0 into the equation and solve for x

4x + 2(0) = 8, that is

4x = 8 ( divide both sides by 4 )

x = 2

Thus Q(2, 0 )

Answer:

2ax(5x+7a) is your answer ☺️☺️☺️

i hope so it help you .........

Answer:

only construction

Step-by-step explanation:

it must have 4 sides