Earlier we investigated the relationship between x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016. Given is a scatterplot of the data, along with the regression line y^ = 60.7 + 0.139x . Interpret the slope of the regression line.

The number of possible codes depends on the number of keys on the keypad and can be calculated using factorial notation: n!, where n is the number of keys.

the keypad has a certain number of keys, and each key can be used only once in the code. This implies that the code length is equal to the number of keys on the keypad.

To calculate the number of possible codes, we can use the concept of permutations. In a permutation, the order of the elements matters, and repetition is not allowed.

If there are n keys on the keypad, the first key can be chosen in n ways. After selecting the first key, the second key can be chosen from the remaining (n-1) keys in (n-1) ways. Similarly, the third key can be chosen in (n-2) ways, and so on.

Therefore, the total number of possible codes is given by the product of these choices: n * (n-1) * (n-2) * ... * 2 * 1, which is equal to n factorial (n!).

For example, if the keypad has 4 keys, the number of possible codes would be 4 factorial (4!) = 4 × 3 × 2 × 1 = 24. So, there would be 24 different codes that can be entered using the available keys on the keypad.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

Step-by-step explanation: The speed of reaction to differences between forecasts and actual results. is the answer i think

Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

Using the line of best fit, it is found that the projected time for a man who is 166 cm tall is of 7.966 minutes.

It gives the project time in minutes to run the 3000 meters for a men of a height of x centimeters, according to the following function:

y = -0.081x + 21.412.

Hence, for a men of 166 centimeters, x = 166 and the projected time in minutes is given as follows.

y = -0.081(166) + 21.412 = 7.966.

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the measure of the smallest angle of ΔDEF is approximately 41.41°.

How to solve the question?

In ΔDEF, DM is a median and M is on EF. Additionally, DM = EF, and DL is an angle bisector of ∠EDF, L is on EF, and m∠DLF = 64°. We need to find the measure of the smallest angle of ΔDEF.

Since DM is a median, it divides EF into two equal parts, EM and MF. Thus, EM = MF = DM/2 = EF/2.

Let x be the measure of ∠EDF. Then, we know that ∠EDM = ∠FDM = 90° because DM is a median.

Using the angle bisector theorem, we know that DL/EL = DF/EF. Since DL is an angle bisector, we also know that ∠DLE = ∠ELF = x/2. Therefore, we have:

DL/EL = DF/EF

DL/(EF/2) = DF/EF

DL = DF/2

Now, we can use the Law of Cosines in ΔDEF to find DF in terms of x:

DF² = DE² + EF² - 2(DE)(EF)cos(x)

DF² = DM² + MF² - 2(DM)(MF)cos(x)

DF² = (EF)²/4 + (EF)²/4 - (EF)²cos(x)

DF² = (EF)²/2 - (EF)²cos(x)

Since DL = DF/2, we have:

DL² = (EF)²/8 - (EF)²cos(x)/4

Using the angle bisector theorem again, we know that EL/FL = DE/DF. Since DL = DF/2, we also know that FL = EF - DL = EF/2. Therefore, we have:

EL/EF - EL/2 = DE/DF

EL/EF - EL/(2DL) = DE/DF

EL/EF - EL/(EF/4) = DE/DF

EL = EF(DE/DF)/3

Now, we can use the Law of Cosines again in ΔDEL to find DE in terms of x:

DE² = DL²+ EL² - 2(DL)(EL)cos(x/2)

DE² = (EF)²/8 - (EF)^2cos(x)/4 + [EF(DE/DF)/3]² - 2(DL)(EF(DE/DF)/3)cos(x/2)

DE² = (EF)²/8 - (EF)^2cos(x)/4 + (EF)²(DE/DF)^2/9 - (EF)(DE/DF)(EF/6)cos(x/2)

Since DM = EF, we have DE = DM - EM = EF/2 - EF/4 = EF/4. Thus, we can substitute this into the equation above and simplify:

(EF/4)²= (EF)²/8 - (EF)^2cos(x)/4 + (EF)^2(DE/DF)²/9 - (EF)(DE/DF)(EF/6)cos(x/2)

(EF)²/16 = (EF)²/8 - (EF)²cos(x)/4 + (EF)²(DE/DF)²/9 - (EF)(DE/DF)(EF/6)cos(x/2)

0 = (EF)²/72 - (EF)²cos(x)/4 + (EF)²(DE/DF)²/9 - (EF)(DE/DF)(EF/6)cos(x/2)

Now, we can substitute DL = DF/2 = (EF/4)/2 = EF/8 and EL = EF(DE/DF)/3 = EF(DE)/(3EF/4) = 4DE/3 into the equation above and simplify:

0 = (EF)²/72 - (EF)²cos(x)/4 + (EF)²(DE/DF)²/9 - (EF)(DE/DF)(EF/6)cos(x/2)

0 = (EF)²/72 - (EF)²cos(x)/4 + (EF)^2(DE/DF)²/9 - (EF/8)(4DE/3)(EF/6)cos(x/2)

0 = (EF)²/72 - (EF)²cos(x)/4 + (EF)²(DE/DF)²/9 - (EF²/72)cos(x/2)

0 = (EF)²/72 - (EF)²cos(x)/4 + (EF)²(DE/DF)²/9 - (EF)²cos(x/2)/18

Simplifying this equation, we get:

cos(x)/4 - cos(x/2)/18 = (EF)²/72 - (EF)²(DE/DF)²/9

Now, we can substitute DE = EF/4 and DF = EF/2 into the equation above and simplify:

cos(x)/4 - cos(x/2)/18 = (EF)²/72 - (EF)²/144

cos(x)/4 - cos(x/2)/18 = (EF)²/144

We know that cos(x) is negative because x is the measure of the smallest angle of ΔDEF, so we can take the absolute value of both sides of the equation:

|cos(x)/4 - cos(x/2)/18| = (EF)²/144

Since 0° < x < 180°, we know that cos(x/2) > cos(x), so we can simplify further:

cos(x/2)/18 - cos(x)/4 = (EF)²/144

Now, we can substitute the given value of ∠DLF = 64° into the equation above and solve for EF:

cos(32°)/18 - cos(128°)/4 = (EF)^2/144

0.0289 - (-0.2113) = (EF)²/144

0.2402 = (EF)²/144

EF = √(0.2402*144)

EF ≈ 4.8044

Finally, we can use the Law of Cosines in ΔDEF to find x:

cos(x) = (DE² + EF² - DF²)/(2(DE)(EF))

cos(x) = (EF²/16 + EF² - EF²/4)/(2(EF/4)(EF))

cos(x) = 3/4

x = arccos(3/4)

x ≈ 41.41°

Therefore, the measure of the smallest angle of ΔDEF is approximately 41.41°.

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The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

\(D(h)=25 {e}^{ - 0.4 h}\)

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

\(6 = 25 {e}^{ - 0.4h} \)

\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)

\(0.24= {e}^{ - 0.4h} \)

Taking logarithm both sides of above equation , we get,

\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)

Using the properties of natural logarithm,

\( \ln(0.24) = - 0.4h\)

\( - 1.427116356 = - 0.4h\)

\(h = \frac{1.42711635}{0.4} = 3.56779089\)

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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Answer:

A: 40in

Step-by-step explanation:

Volume of a rectangular pyramid is V= lwh/3

V= ((4)(5)(6))/3

V= 40 in

As HF=GH

It's an isosceles traingle

Since the sides, HF and HG are congruent ∠G and ∠F will be also congruent I.e.

\(∠G = ∠F\)

So, If ∠G = 47°, ∠F is also equal to 47°...~

Water is increasing at a rate of ( 3/200π ) inch/min in a cylindrical tank.

As per the question we are provided with ,

r = 20 inch                                                                    equation 1

( dV/dt ) = 6 cubic inch per min                                   equation 2

We need to calculate (dh/dt) and to calculate this we can use the formula of volume of cylinder.

volume of cylinder = V

V = π\(r^{2} h\)                                                                        equation 3

Substitute value of r from equation 1 in equation 3, we will get

V = π × \((20^{2} )\) × h

V = π (400) h

Differentiate with respect to time , we get

( dV/dt ) = 400π ( dh/dt )

Substitute value of ( dV/dt ) from equation 2  , we get

6 = 400 π ( dh/dt )

( dh/dt ) = ( 3/200π ) inch/min

Thus, ( 3/200π ) inch/min is the rate of increase of height of water.

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Answer:

80 x by the power of 5 and y is by the power of 3

Answer:

80x⁵y³

Step-by-step explanation:

5x³y(-4xy)²

=5x³y*16x²y²

=80x⁵y³.

Answer:

x = 2.8

Step-by-step explanation:

\(7\left(-2x+4\right)=-4x\)

\(-14x+28=-4x\)

\(\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}\)

\(-14x+28-28=-4x-28\)

\(\mathrm{Simplify}\)

\(-14x=-4x-28\)

\(\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}\)

\(-14x+4x=-4x-28+4x\)

\(\mathrm{Simplify}\)

\(-10x=-28\)

\(\mathrm{Divide\:both\:sides\:by\:}-10\)

\(\frac{-10x}{-10}=\frac{-28}{-10}\)

\(x=\frac{14}{5}\)

\(x=2.8\)

[RevyBreeze]

Greetings from Brasil...

Let's place the triangle in a Cartesian Plane - see attached figure.

We have:

A(1; 2)

B(3; 1)

C(6; 3)

1 - rotation

Specifically for a 90° rotation, we will use the expression

then

A'(-2; 1)

B'(-1; 3)

C'(-3; 6)

2 - translation

For a translation, we will add n units in all coordinates. (instead of adding, we could too subtract)

Let's consider n = 2, so

A''(3; 4)

B''(5; 3)

C''(8; 5)

3 - reflection

No way. We have to draw the original figure and reflect it.  Let's use the Y axis as the reflection axis.

See the attachments

Answer:

See attachments.

Step-by-step explanation:

Rotation, translation and reflection are all examples of transformations  A transformation is a way by which the size or position of a shape is changed.

(See attachment 1)

Rotation turns a shape around a fixed point called the center of rotation.

(See attachment 2)

A translation moves a shape left, right, up or down.

Every point on the original shape is translated (moved) the same distance in the same direction.

(See attachment 3)

A shape can be reflected across a line of reflection.

Every point on the reflected shape is the same distance from the line of reflection as the corresponding points on the original shape.

The lines joining the points on the original shape and the corresponding points on the reflected shape are perpendicular to the line of reflection.

All three transformations have been drawn on one grid in attachment 4.

An even number of data values will always have two middle numbers, and an odd number of data values will always have one middle value. Therefore, the true statements are:

An even number of data values will always have two middle numbers.

An odd number of data values will always have one middle value.

What is even number?

An even number is an integer that is divisible by 2, i.e., when divided by 2, the remainder is 0. Examples of even numbers are 2, 4, 6, 8, 10, 12, etc.

The statement "an even number of data values will always have two middle numbers" is true. When there is an even number of data values, there is no single middle number because there are two values in the center.

For example, in the set {1, 2, 3, 4}, the middle numbers are 2 and 3. In general, if there are an even number of data values, the middle two values are found by taking the average of the two values in the center of the set. This is different from the case when there is an odd number of data values, where there is a single middle value.

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27 containers are needed to hold all the fuel from 12 tanks.

We are given that each tank holds 22.5 cubic yard of fuel, the weight of 1 yd³ (cubic yard) of fuel is equal to .74 tons, and each container holds 7.4 tons of fuel. Solving this problem would involve converting units.

In order to find out how many containers of the size are needed to hold all the fuel from 12 tanks, first we need to find how much fuel is delivered by 12 tanks. Since 12 x 22.5 = 270, 12 tanks are used to deliver 270 yd³ of fuel.

Next we convert it to tons. Recall that 1 yd³ of fuel is equal to .74 tons. Therefore, 270 yd³ = 270 x  .74 = 199.8 tons.

A container holds 7.4 tons of fuel. 199.8 ÷ 7.4 = 27, hence 27 containers are needed to hold all the fuel.

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The step that is the same when bisecting segments and angles is "Draw a ray from the vertex to another point."

When bisecting a segment, you must draw a line that divides the segment into two equal parts. One way to do this is to draw a ray with one endpoint at the midpoint of the segment and the other endpoint at any point beyond the segment. This ray will bisect the segment. When bisecting an angle, you must draw a line that divides the angle into two equal angles. One way to do this is to draw a ray from the vertex of the angle to any point on the angle. This ray will bisect the angle.

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Answer: Mark the intersection points of the arcs.

Step-by-step explanation: Draw a ray with one endpoint. is incorrect

The total number of possible solutions for both the inequalities to be true at the same time are 3.

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given in the question is the solution of two inequalities as a function of x.

Since, both the inequalities must be true at the same time, this means that only those solutions will be taken into consideration which are common to both. In order to do so, we have to find the intersection of the sets representing their solutions. Now,

Solution set for inequality 1 → S[1] ∈ [-3, 2)

Solution set for inequality 2 → S[2] ∈ (-1, 4]

The set representing the solution for the existence of both the inequalities at the same time is -

S = S[1] ∩ S[2] = [-3, 2) ∩ (-1, 4] = [0, 1, 2]

n(S) = 3

Therefore, the total number of possible solutions for both the inequalities to be true at the same time are 3.

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you can jump for 3 hours in order for the cost to be the same using concept of equations.

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign =. In French, an equation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions coupled with an equal sign.

An equation is made up of two expressions connected together by an equals sign (=). The expressions on each side of the equals sign are known as the equation's left and right sides. The right side of an equation is commonly assumed to be zero.

Given,

Jamier's Trampoline Park charges $9 to get in and $4 an hour to jump=9+4x

Alondra's Trampoline Park does not charge a fee to get in but charges $7 an hour to jump=7x

And also given that both the charges are same

Then,

9+4x=7x

3x=9

x=3

Therefore, you can jump for 3 hours in order for the cost to be the same.

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Answer:

x < -3

Step-by-step explanation:

................

To calculate Evan's AGI (Adjusted Gross Income) and taxable income if he files as a single taxpayer, we need to consider his income and deductible expenses.

Calculate Evan's total income:
  - Salary: $73,650
  - Part-time hourly pay: $700

  Total income = Salary + Part-time pay = $73,650 + $700 = $74,350

Deductible expenses:
  - Moving expenses: $1,200
  - Student loan interest: $2,890
  - Uniform cost: $1,490
  - Cash contribution: $1,345

  Total deductible expenses = $1,200 + $2,890 + $1,490 + $1,345 = $6,925

Calculate AGI:
  AGI = Total income - Total deductible expenses
  AGI = $74,350 - $6,925 = $67,425

Evan's taxable income is equal to his AGI since there were no other deductions mentioned in the question.

Therefore, Evan's AGI is $67,425, and his taxable income is also $67,425.

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Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

We have,

Income:

Salary: $73,650

Part-time work pay: $700

Total income: $73,650 + $700 = $74,350

Deductible Expenses:

Cost of moving possessions: $1,200

(This deduction applies if the move meets certain distance and time requirements. Since the move was 125 miles away, it meets the distance requirement.)

Interest paid on student loans: $2,890

Cost of purchasing a delivery uniform: $1,490

Cash contribution to State University deliveryman program: $1,345

Total deductible expenses:

$1,200 + $2,890 + $1,490 + $1,345

= $6,925

Now we can calculate Evan's AGI and taxable income:

AGI (Adjusted Gross Income)

= Total income - Deductible expenses

AGI = $74,350 - $6,925 = $67,425

Taxable Income = AGI - Standard Deduction

For a single filer in 2022, the standard deduction is $12,550.

Taxable Income = $67,425 - $12,550 = $54,875

Therefore,

Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

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The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

We have,

We need to calculate the initial discount given by the 23% off sale:

Discount

= 0.23 x $425

= $97.75

After the first discount, the mower's price is:

New price

= $425 - $97.75

= $327.25

Then, the store manager discounted it by another $10, so the final price is:

Final price

= $327.25 - $10

= $317.25

The total decrease in price is:

= $425 - $317.25

= $107.75

The percent decrease in the mower's price is:

Percent decrease

= (107.75 / 425) x 100%

= 25.3%

Therefore,

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

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The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Answer:3/6

Step-by-step explanation:

720

Answer:

15/9 = 1200/x

15x/ 15 =10800/15

x= 720

The equation of the perpendicular bisector is of the form \($y = mx + b$\), where \($m = -\frac{1}{2}$\)  and \($b = 4$\).

The equation of the perpendicular bisector of the line segment connecting the points \($(-3,8)$\) and \($(-5,4)$\)has the form \($y = mx + b$\).

To find the equation of the perpendicular bisector, we first need to find the midpoint of the line segment connecting the two points. The midpoint formula is given by:

Midpoint \(= $ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $\)

Using the given points $(-3,8)$ and $(-5,4)$, we can calculate the midpoint as follows:

Midpoint\(= $ \left( \frac{-3 + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4, 6) $\)

Now that we have the midpoint, we need to determine the slope of the line segment connecting the two points. The slope formula is given by:

Slope \(= $ \frac{y_2 - y_1}{x_2 - x_1} $\)

Using the coordinates $(-3,8)$ and $(-5,4)$, the slope can be calculated as follows:

Slope \(= $ \frac{4 - 8}{-5 - (-3)} = \frac{-4}{-2} = 2 $\)

The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment. Therefore, the slope of the perpendicular bisector is $-\frac{1}{2}$.

Now, using the midpoint $(-4, 6)$ and the slope $-\frac{1}{2}$, we can find the equation of the perpendicular bisector by substituting these values into the slope-intercept form equation $y = mx + b$:

$6 = -\frac{1}{2} \cdot (-4) + b$

Simplifying the equation:

$6 = 2 + b$

$b = 6 - 2 = 4$

Therefore, the equation of the perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ is:

$y = -\frac{1}{2}x + 4$

Hence, the equation of the perpendicular bisector is of the form $y = mx + b$, where $m = -\frac{1}{2}$ and $b = 4$.

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By using arithmetic operations, taking away 28.567 from the sum of 19.54 and 27.69 = 18.663

Deducing 15.729 from the sum of 26.84 and 4.5 = 15.611

Reducing the sum of 78.4 and 69.354 by the sum of the 12.43 and 16.5467 = 118.773

Weight of Raffy and Luis are 63.24 and 55.18 respectively.

Money required to pay the bill = php862.75

The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the basic operations.

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Answer: C. Buenos Aries-Tucuman-Bahia Blanca-Salta-Buenos Aries

Step-by-step explanation:

Edg 2022

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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Answer:

$397.17

Step-by-step explanation:

To find the total, you add all three costs together:

84.50+213.68+98.99 = 397.17

I hope this was helpful to you! If it was, please feel free to rate 5 and press thanks! Have a good day.

The total cost for all the clothing items is $397.17.

To find the total cost of all the clothing items, we need to add up the costs of the shirts, coats, and slacks.

The cost of 4 shirts is $84.50.

The cost of 3 coats is $213.68.

The cost of 4 pairs of slacks is $98.99.

To find the total cost, we sum up these amounts:

Total cost = Cost of shirts + Cost of coats + Cost of slacks

= $84.50 + $213.68 + $98.99

= $397.17

Therefore, the total cost for all the clothing items is $397.17.

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