I NEED HELP NOW PLS, What is the total length of the markers that are 5.5 inches or shorter?

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:don’t know how to answer

Step-by-step explanation: by the looks of it ur just connecting dots there are three dots you have to connect

a. The absolute maximum of g is 2.

The absolute minimum of g is -4.

b. The absolute maximum of h is 1.

The absolute minimum of h is -3.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of the polynomial function g shown above, we can logically deduce that its vertical asymptote is at x = 3. Furthermore, the absolute maximum of the polynomial function g is 2 while the absolute minimum of g is -4.

In conclusion, the absolute maximum of the polynomial function h is 1 while the absolute minimum of h is -3.

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To find the height that the ladder reaches up the wall, we can use the Pythagorean theorem.

which relates the lengths of the sides of a right triangle. In this case, the ladder forms the hypotenuse, the distance from the base of the wall to the foot of the ladder is one side (4.5 m), and the height we want to find is the other side.

In this case, the ladder forms the hypotenuse, and the distance from the foot of the ladder to the base of the wall is one of the sides.

Let's denote the height of the ladder on the wall as 'h'. According to the problem, the length of the ladder is 12 m, and the distance from the foot of the ladder to the base of the wall is 4.5 m.

Using the Pythagorean theorem, we have:

a^2 + b^2 = c^2

where a represents the height, b represents the distance from the base of the wall, and c represents the length of the ladder.

Substituting the given values, we have:

a^2 + (4.5)^2 = (12)^2

Simplifying:

a^2 + 20.25 = 144

a^2 = 144 - 20.25

a^2 = 123.75

Taking the square root of both sides:

a ≈ 11.11

Therefore, the ladder reaches a height of approximately 11.11 meters up the wall.

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The square and the triangle have the same area, which is of 4 square units.

For a square of side length L, the area is:

A = L²

For a triangle of base B, and height H, the area is:

A = B*H/2

For the square, we can see that:

L = 2, then:

A = 2² = 4

For the triangle we can see that:

B = 2

H = 4

Then the area is:

A = 2*4/2 = 4

So yea, both figures have the same area.

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The absolute increase in population is 2200, and the relative increase is approximately 59.46%.

To find the absolute and relative increase in population, we can use the following formulas:

Absolute increase = Final value - Initial value

Relative increase = (Absolute increase / Initial value) * 100%

Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:

Absolute increase = 5900 - 3700 = 2200

To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:

Relative increase = (2200 / 3700) * 100% ≈ 59.46%

Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.

The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.

Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.

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The value of the result of the expression from the computation is [tex]7.54 * 10^-1[/tex]

Standard form refers to a specific format or notation used to represent mathematical equations or numbers.

When referring to the standard form of a number, it usually means expressing a number in scientific notation or standard index form. In scientific notation, a number is written as a product of a decimal number between 1 and 10 and a power of 10.

We can write the given problem as;

[tex]3.77 * 10^-7 * 1.4 * 10^3/7 * 10^4\\= 7.54 * 10^-1[/tex]

This is the required format.

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The probability that the wife has more than $150,000 in insurance is given as follows:

0.2446 = 24.46%.

The parameters that are needed to calculate a probability are listed as follows:

The number of outcomes in which the husband has a insurance in the desired range is given as follows:

50 + 30 + 25 + 34 = 139.

The number of outcomes in which both have insurance in the desired range is given as follows:

34.

Hence the probability is given as follows:

34/139 = 0.2446.

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The equation of the line in point-slope form, slope-intercept form and standard form is y - 4 = 2( x - 2 ), y = 2x and 2x - y = 0 respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given that the line passes through points (2,4) and (3,6).

First, we determine the slope:

[tex]Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{6 - 4}{3-2} \\\\Slope\ m = \frac{2}{1} \\\\Slope\ m = 2[/tex]

Now, plug the slope m = 2 and point (2,4) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

y - 4 = 2( x - 2 )

Solve in slope-intercept form:

y - 4 = 2( x - 2 )

y - 4 = 2x - 4

y = 2x - 4 + 4

y = 2x

Solve in standard form:

Ax + Bx = C

y - y  = 2x - y

0 = 2x - y

Reorder:

2x - y = 0

Therefore, the standard form is  2x - y = 0.

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Using the formula for the standard deviation and solving for x, we will get:

x = 7.6

To find the positive value of 'x' in the given set of numbers (3, 6, x, 7, 5) when the standard deviation is √2, we can use the formula for standard deviation.

The formula for calculating the sample standard deviation is as follows:

σ = √[(Σ(xi - m)²) / (n - 1)]

Where:

First, let's calculate the mean (m) of the given set of numbers:

Mean (m) = (3 + 6 + x + 7 + 5) / 5 = (21 + x) / 5

Next, let's substitute the values into the standard deviation formula:

√2 = √[( (3 - (21 + x) / 5)² + (6 - (21 + x) / 5)² + (x - (21 + x) / 5)² + (7 - (21 + x) / 5)² + (5 - (21 + x) / 5)² ) / 4]

Simplifying the equation:

2 = [( (3 - (21 + x) / 5)² + (6 - (21 + x) / 5)² + (x - (21 + x) / 5)² + (7 - (21 + x) / 5)² + (5 - (21 + x) / 5)² ) / 4]

Multiplying both sides of the equation by 4:

8 = (3 - (21 + x) / 5)² + (6 - (21 + x) / 5)² + (x - (21 + x) / 5)² + (7 - (21 + x) / 5)² + (5 - (21 + x) / 5)²

Expanding and simplifying:

8 = (15 - (21 + x) / 5)² + (30 - (21 + x) / 5)² + (5x/5)² + (35 - (21 + x) / 5)² + (25 - (21 + x) / 5)²

8 = (15 - (21 + x) / 5)² + (30 - (21 + x) / 5)² + x² + (35 - (21 + x) / 5)² + (25 - (21 + x) / 5)²

Expanding and simplifying further:

8 = (225 - 2(21 + x) + (21 + x)² / 25) + (900 - 2(21 + x) + (21 + x)² / 25) + x² + (1225 - 2(21 + x) + (21 + x)² / 25) + (625 - 2(21 + x) + (21 + x)² / 25)

Combining like terms:

8 = (225 + 900 + 1225 + 625) / 25 - 10(21 + x) + 5(21 + x)² / 25 + x²

8 = 2975 / 25 - 10(21 + x) + 5(21 + x)² / 25 + x²

Simplifying:

8 = 119 - 10(21 + x) + (21 + x)² / 5 + x²

Rearranging the terms:

8 - 119 = -10(21 + x) + (21 + x)² / 5 + x²

-111 = -10(21 + x) + (21 + x)² / 5 + x²

Multiplying through by 5 to eliminate the fraction:

-555 = -50(21 + x) + (21 + x)² + 5x²

Expanding and simplifying:

-555 = -1050 - 50x + x² + 441 + 42x + x² + 5x²

Combining like terms:

0 = 7x² - 8x - 114

Now, we can solve this quadratic equation to find the value of 'x'.

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 7, b = -8, and c = -114.

Plugging the values into the formula:

x = (-(-8) ± √((-8)² - 4(7)(-114))) / (2(7))

Simplifying:

x = (8 ± √(64 + 3192)) / 14

x = (8 ± 2√(814)) / 14

x = (4 ± √(814)) / 7

Therefore, the values of 'x' that satisfy the given equation are approximately:

x ≈ (4 + √(814)) / 7 ≈ 7.62

x ≈ (4 - √(814)) / 7 ≈ -0.29

Since we are looking for the positive value of 'x', the solution is:

x ≈ 7.6

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The five-number summary for the height of 18 sunflowers include:

In order to determine the five-number summary for the height of 18 sunflowers, we would arrange the data set in an ascending order:

40, 45, 47, 50, 50, 51, 51, 51, 55, 55, 55, 55, 55, 55, 58, 58, 62, 63

From the data set above, we can logically deduce that the minimum (Min) is equal to 40.

For the first quartile (Q₁), we have:

Q₁ = [(n + 1)/4]th term

Q₁ = (18 + 1)/4

Q₁ = 4.75th term

Q₁ = 4th term + 0.75(5th term - 4th term)

Q₁ = 50 + 0.75(50 - 50)

Q₁ = 50 + 0.75(0)

Q₁ = 50.

From the data set above, we can logically deduce that the median (Med) is given by:

Median = (9th term + 10th term)/2

Median = (55 + 55)/2

Median = 55

For the third quartile (Q₃), we have:

Q₃ = [3(n + 1)/4]th term

Q₃ = 3 × 4.75

Q₃ = 14.25th term

Q₃ = 14th term + 0.25(15th term - 14th term)

Q₃ = 55 + 0.25(58 - 55)

Q₃ = 55 + 0.25(3)

Q₃ = 55.75

In conclusion, the maximum height is equal to 63.

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To calculate the future value of the investment, we can use the formula for compound interest:

[tex]\sf A = P \left(1 + \frac{r}{n}\right)^{nt}[/tex]

where:

[tex]\sf A[/tex] = the future value of the investment

[tex]\sf P[/tex] = the initial principal (amount invested)

[tex]\sf r[/tex] = the interest rate (as a decimal)

[tex]\sf n[/tex] = the number of times interest is compounded per year

[tex]\sf t[/tex] = the number of years

In this case, Saylin received $325 and plans to invest it for 4 years at an interest rate of 4.25% compounded annually.

Substituting the values into the formula, we have:

[tex]\sf A = 325 \left(1 + \frac{0.0425}{1}\right)^{(1 \times 4)}[/tex]

Simplifying the equation:

[tex]\sf A = 325 \times 1.0425^4[/tex]

Calculating the expression, we find:

[tex]\sf A \approx 383.87[/tex]

Therefore, the amount of money in the account after 4 years will be approximately $383.87. Thus, the correct option is B) 383.87.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

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The proportional relationship that models the data in the table for this problem is given as follows:

y = 0.7x.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant for this problem is given as follows:

k = 7/10 = 14/20 = 21/30 = 0.7.

Hence the equation is given as follows:

y = 0.7x.

The problem asks for the proportional relationship that defines the data in the table.

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Answer: (1,2)(2,2)

Step-by-step explanation:

El volumen del prisma 3360 cm³

Una ecuación es una expresión que muestra la relación entre dos o más números y variables.

El volumen de un prisma viene dado por:

volumen = largo * ancho * alto

De la pregunta:

Largo = 35 cm, ancho = 8 cm y alto = 12 cm, por lo tanto:

Volumen = 35 * 12 * 8 = 3360 cm³

El volumen es 3360 cm³

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Answer:

z= 118

y= 118

x= 62

Step-by-step explanation:

When parallel lines have two transversal lines, a set of corresponding angles, alternate angles, interior angles, and vertical angles are formed.

Corresponding angles are found on the same parallel line but are formed by different transversal lines and are equal. An example of this is the angle marked as 118 and z. therefore z=118

Vertical angles are angles found Infront of each other, they are equal. An example of vertical angles are angle y and angle z. Therefore angle y = angle z. y= 118

angle y also corresponds to point C. point C is 180 -x. Therefore x= 180-118 which is 62. x=62

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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The proportional relationship that models the data in the table is given as follows:

y = 0.7x.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant for this problem is given as follows:

k = 7/10 = 14/20 = 21/30 = 0.7.

(constant is obtained dividing the output by it's respective input).

Hence the equation is given as follows:

y = 0.7x.

The problem asks for the proportional relationship that defines the data in the table.

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Answer:

9 square root 2 is correct answer

Answer:Yes, because 11 − 4 < 8

Step-by-step explanation:

The quadratic function for the value of David's investment indicates;

(i) $45,000

(ii) 9.375 months

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;

a = 45 + 75·t - 4·t²

Where;

a = The value of the investment in thousand of dollars after t months

t = The number of months of the investment

(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;

a = 45 + 75 × 0 - 4 × 0² = 45

The initial amount David invested is; a = $45,000

(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;

The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375

Therefore, it will take 9.375 months for David's investment to reach a maximum value

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Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

a = [tex]\frac{d}{b+c}[/tex]

Step-by-step explanation:

a(b + c) = d

isolate a by dividing both sides by b + c

a = [tex]\frac{d}{b+c}[/tex]

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To find the value of 'x', we can use the property of parallel lines that states when a transversal intersects two parallel lines, the corresponding angles are equal.

In triangle ABC, we have DE parallel to BC. Therefore, we can conclude that triangle ADE is similar to triangle ABC.

Using the property of similar triangles, we can set up the following proportion:

[tex]\displaystyle\sf \dfrac{AD}{DB} = \dfrac{AE}{EC}[/tex]

Substituting the given values:

[tex]\displaystyle\sf \dfrac{6x - 7}{4x - 3} = \dfrac{3x - 3}{2x - 1}[/tex]

To solve this proportion for 'x', we can cross-multiply:

[tex]\displaystyle\sf (6x - 7)(2x - 1) = (4x - 3)(3x - 3)[/tex]

Expanding both sides:

[tex]\displaystyle\sf 12x^{2} - 6x - 14x + 7 = 12x^{2} - 9x - 12x + 9[/tex]

Combining like terms:

[tex]\displaystyle\sf 12x^{2} - 20x + 7 = 12x^{2} - 21x + 9[/tex]

Moving all terms to one side:

[tex]\displaystyle\sf 12x^{2} - 12x^{2} - 20x + 21x = 9 - 7[/tex]

Simplifying:

[tex]\displaystyle\sf x = 2[/tex]

Therefore, the value of 'x' is 2.

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Answer:

Step-by-step explanation:

The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.

It is given that AD=4x−38, BD=3x−1, AE=8x−7 and CE=5x−3. Let AC=x

Using the basic proportionality theorem, we have

BD

AD

​

=

AC

AE

​

⇒

3x−1

4x−3

​

=

x

8x−5

​

⇒x(4x−3)=(3x−1)(8x−5)

⇒4x

2

−3x=3x(8x−5)−1(8x−5)

⇒4x

2

−3x=24x

2

−15x−8x+5

⇒4x

2

−3x=24x

2

−23x+5

⇒24x

2

−23x+5−4x

2

+3x=0

⇒20x

2

−20x+5=0

⇒5(4x

2

−4x+1)=0

⇒4x

2

−4x+1=0

⇒(2x)

2

−(2×2x×1)x+1

2

=0(∵(a−b)

2

=a

2

+b

2

−2ab)

⇒(2x−1)

2

=0

⇒(2x−1)=0

⇒2x=1

⇒x=

2

1

​

Hence, x=

2

1

​

.

A) The triangle is not a right triangle.

B) Based on the calculations, the square of the longest side is not equal to the sum of the squares of the other two sides, indicating that the triangle does not meet the criteria of a right triangle according to the Pythagorean Theorem.

To determine if the triangle with side lengths 13m, 5m, and 10m is a right triangle, we can apply the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate the squares of the side lengths:

13^2 = 169

5^2 = 25

10^2 = 100

According to the Pythagorean Theorem, if this triangle is a right triangle, the square of the longest side (13^2 = 169) should be equal to the sum of the squares of the other two sides (5^2 + 10^2 = 25 + 100 = 125).

Since 169 is not equal to 125, we can conclude that the triangle with side lengths 13m, 5m, and 10m is not a right triangle. The sum of the squares of the shorter sides is less than the square of the longest side, which does not satisfy the condition for a right triangle.

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The length of CD is approximately 27.931 meters.

To find the length of CD, we can use the concept of similar triangles and trigonometric ratios.

Let's start by drawing a diagram to visualize the situation:

      A----------B

     /           /

    /           /

   /           /

  D----------C

  |

  |

  |

  F

We are given that road AB slopes at 10.2 degrees to the horizon and road BC slopes at 6.3 degrees to the horizon. From the diagram, we can see that angle DAF is the same as the slope angle of road AB (10.2 degrees), and angle DCF is the same as the slope angle of road BC (6.3 degrees).

Now, we can set up the following trigonometric equations using the given information:

tan(10.2 degrees) = CD / AD (equation 1)

tan(6.3 degrees) = CD / BF (equation 2)

Since AD and BF are perpendicular, we can consider them as vertical heights. Let's calculate the lengths of AD and BF.

For road AB, we can use the definition of tangent:

tan(10.2 degrees) = height AB / length AB

Solving for the height AB, we have:

height AB = tan(10.2 degrees) * length AB

height AB = tan(10.2 degrees) * 800m

height AB ≈ 147.294m

Similarly, for road BC:

height BC = tan(6.3 degrees) * length BC

height BC = tan(6.3 degrees) * 300m

height BC ≈ 33.706m

Now, we can substitute these values into equations 1 and 2:

tan(10.2 degrees) = CD / 147.294m (equation 1)

tan(6.3 degrees) = CD / 33.706m (equation 2)

Solving equation 1 for CD:

CD = tan(10.2 degrees) * 147.294m

CD ≈ 27.931m

Therefore, the length of CD is approximately 27.931 meters.

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The likelihood that a customer who purchased more items than planned did not use a shopping list is approximately 0.51.

To determine the likelihood that a customer who purchased more items than planned did not use a shopping list, we need to calculate the conditional probability.

Let's focus on the "Bought more items than expected" column. The probability that a customer did not use a shopping list is given by the ratio of the "Did not have a shopping list" value in that column to the total value in that column.

The probability that a customer did not use a shopping list given that they bought more items than expected is:

0.18 / 0.35 ≈ 0.51 (rounded to two decimal places)

Consequently, the probability that a consumer who spent more money than anticipated did not make a shopping list is roughly 0.51.

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The frequencies, in order, for the frequency distribution shown are 1, 7, 7, 3, 2.

The correct answer is: 1, 7, 7, 3, 2

To determine the frequencies for the given ratings, let's analyze the data provided:

Excellent (E): 1

Above Average (AA): 7

Average (A): 7

Below Average (BA): 3

Poor (P): 2

To find the frequencies, we count the number of occurrences for each rating:

Frequency of Excellent (E): 1

Frequency of Above Average (AA): 7

Frequency of Average (A): 7

Frequency of Below Average (BA): 3

Frequency of Poor (P): 2

Now, let's list the frequencies in order:

1, 7, 7, 3, 2.

For similar question on frequencies.

https://brainly.com/question/29213586  

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