Mandy built a pyramid for her project on Egypt with a volume of 483 4 in.3 Find the area of the base of the pyramid. Check all that apply. A pyramid with height 6 inches. Use the formula V = one-third B h to solve the problem. The volume of the pyramid is 48 and three-fourths in.3 The height of the pyramid is 6 inches. Substitute the values for V and h into the formula, and then solve for B. The area of the base of the pyramid is 8 and StartFraction 1 over 8 EndFraction in.2 The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

How to solve?

To solve this problem, we can use the formula for the present value of a bond:

PV = (C/r) ×[1 - 1/(1+r)²n] + F/(1+r)²n

where PV is the present value of the bond, C is the semi-annual coupon payment, r is the semi-annual yield rate, n is the number of semi-annual periods, and F is the face value or redemption value of the bond.

We know that Mr. McMahon paid $880 for a $1000 bond, so the present value of the bond is PV = $880. The redemption value of the bond is F = $1000, and the yield rate that he desired was r = 8% per year, compounded semi-annually. Therefore, the semi-annual yield rate is:

i = 0.08/2 = 0.04

We can use the formula to solve for the number of semi-annual periods:

PV = (C/i) ×[1 - 1/(1+i)²n] + F/(1+i)²n

$880 = ($45/i) ×[1 - 1/(1+0.04)²(220)] + $1000/(1+0.04)²(220)

Solving for i gives:

i = 0.0517 or approximately 5.17%

This is the semi-annual yield rate that Mr. McMahon actually received on the bond. To find the semi-annual probability of default that he expected, we can use the formula for the expected yield rate of a bond:

yield = (1 - probability of default) ×(yield rate on the bond) + (probability of default) ×(recovery rate)

where the recovery rate is the percentage of the face value that would be recovered in the event of default.

Assuming that the recovery rate is zero (meaning that in the event of default, Mr. McMahon would receive nothing), we can solve for the probability of default:

0.08 = (1 - p) ×0.0517 + p ×0

Solving for p gives:

p = 0.357 or approximately 35.7%

Therefore, Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

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Answer:

I believe 72

Step-by-step explanation:

619 would Katherine need to invest, to the nearest dollar, for the value of the account.

What is interest in simple words?

When you borrow money, you must pay interest, and when you lend money, you must charge interest. The most common way to represent interest is as a percentage of a loan's total amount every year. The interest rate for the loan is denoted by this proportion.

x. (1 + 3.8%/365)¹⁷ˣ³⁶⁵  = 1180

= x * ( 1 + 38/365000)¹⁷ˣ³⁶⁵  = 1180

= x * ( 1 + 19/182500)¹⁷ˣ³⁶⁵  = 1180

= common denominator and write the numerators above common denominator  x * ( 182500 + 19/182500)⁶²⁰⁵  = 1180

        = x * (182519/182500)⁶²⁰⁵  = 1180

  Divide both sides of the equation by the coefficient of variable

                                  x = 1180/(182519/182500)⁶²⁰⁵

                         x = 1180 * 182500⁶²⁰⁵/182519⁶²⁰⁵

                        x =  619

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The code creates a new data frame that filters for chocolate bars that contain at least 80% cocoa and have a rating of at least 3.75 points.

filter(cocoa.percent >= 80, rating >= 3.75)

1. Start by creating a new data frame called best_trimmed_flavors_df that uses the trimmed_flavors_df data frame

2. Use the %>% operator to pipe the trimmed_flavors_df data frame into the new data frame

3. Use the filter() function to filter the new data frame for chocolate bars with at least 80% cocoa and a rating of at least 3.75 points

The code creates a new data frame that filters for chocolate bars that contain at least 80% cocoa and have a rating of at least 3.75 points.

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The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4.

The probability that if you choose 2 people randomly from the 16 in the hospital, exactly one will need an x-ray is as follows:
Firstly, calculate the probability of choosing one person who needs an X-ray and one person who doesn't.

There are 4 people who need an x-ray and 12 who don't, so the probability for this is (4/16) * (12/15).

Now, calculate the probability of choosing one person who doesn't need an X-ray and one person who does. This is (12/16) * (4/15).

Now, add the probabilities to find the total probability.

The probability that exactly one person will need an x-ray is

(4/16) * (12/15) + (12/16) * (4/15) = 2/5

=0.4.

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The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

If there are 16 people in a hospital and 4 need an xray, the probability that if you choose 2 people randomly, exactly one will need an xray is 0.56.

Total number of people in a hospital = 16

Number of people who need an x-ray = 4

Thus, the probability that if you choose 2 people randomly, exactly one will need an x-ray is given by;

P(one needs an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one needs an x-ray) = (4 × 12) / 16 × 15

P(one needs an x-ray) = 0.08

P(one doesn't need an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one doesn't need an x-ray) = (12 × 4) / 16 × 15

P(one doesn't need an x-ray) = 0.32

Now, we have to add both the probabilities of exactly one person needing an x-ray and exactly one person not needing an x-ray;

P(exactly one person needs an x-ray) = P(one needs an x-ray) + P(one doesn't need an x-ray)

P(exactly one person needs an x-ray) = 0.08 + 0.32P(exactly one person needs an x-ray) = 0.4

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

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Answer:

The simplified answer is 8m+3.

Step-by-step explanation:

3(2m+1)+5m

(6m+3)+5m

8m+3

Answer:

11m + 3

Step-by-step explanation:

First you distribute:

3 ( 2 + 1 )  +  5

6m + 3 + 5m

Next, you combine like terms:

6m + 5m + 3 = 11m + 3

The proportion of baby boys in the United States that are born with low birth weight is 0.0495

In a set with mean  u and standard deviation σ , the z score of a measure X is given by:

Z= X - u / σ

Z = 2.5- 3.41/ 0.55

Z= -1.6545

Z= -1.65 has a p value of 0.0495

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

the complete question is

In the United States, the mean birth weight for boys is 3.41 kg with a standard deviation of 0.55 kg. Assume that the distribution of birth weight is approximately normal. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in the United States are born with low birth weight

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The answer would be -19.8

2.2 x -9 equals -19.8

Answer:

ig D)))))))...

Step-by-step explanation:

......

6*4x = 24x

6*(-10) = -60

24x - 60 = 84

Add 60 to both sides

24x = 144

Divide both sides by 24

x = 6

We have three solutions which correspond to (0,0), (1,3), (2,6) in the residue number system (x mod 3, x mod 5).

Given that residue number system (x mod 3, x mod 5) considered in the text has the curious property that 13 corresponds to (1, 3), which looks almost the same.

We need to explain how to find all instances of such a coincidence, without calculating all fifteen pairs of residues.

In other words, we need to find all solutions to the congruences

10x + y ≡ x (mod 3),

10x + y ≡ y (mod 5).

First Congruence: 10x + y ≡ x (mod 3)

⟹ 9x ≡ −y (mod 3)

⟹ 3(3x) ≡ −y (mod 3)

⟹ −y ≡ 0 (mod 3)

⟹ y ≡ 0 (mod 3) or y ≡ 3 (mod 3) or y ≡ 6 (mod 3)

Second Congruence:10x + y ≡ y (mod 5)

⟹ 10x ≡ 0 (mod 5)

⟹ 5(2x) ≡ 0 (mod 5)

⟹ 2x ≡ 0 (mod 5)

⟹ x ≡ 0 (mod 5) or x ≡ 5 (mod 5)

We combine the solutions obtained from both congruences:

If y ≡ 0 (mod 3) then we need x ≡ 0 (mod 5)

If y ≡ 3 (mod 3) then we need x ≡ 1 (mod 5)

If y ≡ 6 (mod 3) then we need x ≡ 2 (mod 5)

Hence, the solutions of the system are: (x, y) = (0, 0), (1, 3), (2, 6).

Therefore, we have three solutions which correspond to (0,0), (1,3), (2,6) in the residue number system (x mod 3, x mod 5).

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The probability of a Type I error is 0.2 or 20%. This means that there is a 20% chance of rejecting the null hypothesis when it is actually true.

The power of a hypothesis test is the probability of rejecting the null hypothesis when the alternative hypothesis is true. In this case, the power of the test is given as 0.8, and the null hypothesis is that the true value of the parameter is 10, while the alternative hypothesis is that the true value is 8.

We are given the sample size, n = 25, and the standard deviation, σ = 4. To calculate the probability of a Type I error, we need to determine the significance level of the test, denoted by α.

The significance level is the probability of rejecting the null hypothesis when it is actually true. It is usually set before conducting the test, and commonly set at 0.05 or 0.01.

To calculate α, we can use the following formula:

α = 1 - power = 1 - 0.8 = 0.2

So, the probability of a Type I error is 0.2 or 20%. This means that there is a 20% chance of rejecting the null hypothesis when it is actually true.

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The area swept clean by the rear windshield wiper blade is approximately 11.63 * π square inches.

To calculate the area swept clean by the rear windshield wiper blade, we need to consider the sector formed by the blade's length and the angle it sweeps.

The radius of the circular path formed by the wiper blade can be calculated by subtracting the distance of the blade from the pivot point from the length of the arm:

Radius = Length of the arm - Distance of the blade from the pivot point

Radius = 15 inches - 3 inches

Radius = 12 inches

The angle of 130 degrees represents the fraction of the circle covered by the wiper blade. To find the area swept clean, we calculate the area of the sector:

\(Area of the sector = (Angle / 360 degrees) * π * (Radius^2)\)

Area of the sector = (130 / 360) * π * (12^2)

Area of the sector ≈ 11.63 * π square inches

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Answer:

Slope - 21 Intercept - 15

The equation of the function h(x) is h(x) = 21x + 15, slope = 21, and y-intercept = 15.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equation of the function f(x) is:

f(x) = -7x + 9

add 2 to the input off to create a new function g:

f(x + 2) = g(x) = -7(x + 2) + 9 = -7x - 5

g(x) = -7x - 5

Multiply the output of function g by -3 to create function h:

h(x) = -3g(x)

h(x) = -3(-7x - 5)

h(x) = 21x + 15

The slope = 21 and

y-intercept = 15

Thus, the equation of the function h(x) is h(x) = 21x + 15, slope = 21, and y-intercept = 15.

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8w - 8 = 48 is the equation that represents the situation described in the problem.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=). The expressions on both sides of the equation can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Let's say that the width of the rectangle is "w" (in some unit of measurement).

According to the problem, the length of the rectangle is 4 less than three times the width, which means:

Length = 3w - 4

The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

Substituting the expressions we have for length and width, we get:

Perimeter = 2(3w - 4 + w)

Perimeter = 2(4w - 4)

Perimeter = 8w - 8

Since the problem states that the perimeter is equal to 48, we can write the equation:

8w - 8 = 48

This is the equation that represents the situation described in the problem.

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Answer:

x = b-a-y

Step-by-step explanation:

Answer:

X=B-A-Y

Step-by-step explanation:

X+Y=B-A

subtract the y and it will fall onto the other side

so your answer will be x=b-a-y cause the y turned negative to cancel out the y that is ear the x.  

El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.

El área del paralelogramo, en centímetros cuadrados, es igual al producto de su base por su altura, ambos en centímetros. En consecuencia, el área de la figura geométrica es la siguiente:

\(A = (13\,cm)\cdot (8\,cm)\)

\(A = 104\,cm^{2}\)

El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.

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Answer:

c.  

brainliest please? <3

Step-by-step explanation:

The complete two way frequency  table after survey is:

             13      19      32

             28      15     43

             41       34     75

Just count the missing numbers in the row or column:

32 - 19 = 13

This is the value that goes to the top left in the table because we can subtract here. There are no total votes.

We can now calculate the total number of positive votes to be 41.

In the value of the No column, we will again find the middle number by subtracting the top number from the total number of No votes.

34 - 19 = 15

Similarly,

From the middle row, we can simply add the values ​​to get the total:

28 + 15 = 43.

Finally we find a total of 75.

The complete two way frequency table after survey is:

             13      19      32

             28      15     43

             41       34     75

Complete Question:

A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey.

                               Rain Boots

             City       Yes         No        Total

               A                        19            32

               B          28

            Total                      34

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Answer:

-9 3/4

Step-by-step explanation:

FG = GH

9x+15 = 5x+4

Subtract 5x from each side

9x+15-5x = 5x+4-5x

4x+15 = 4

Subtract 15 from each side

4x+15-15 = 4-15

4x = -11

Divide by 4

4x/4 = -11/4

x = -11/4

FG = 9x+15

FG = 9*(-11/4) +15

  = -99/4+15

    -99/4 + 60/4

   = -39/4

  = -9 3/4

The width of the last little parallelogram, 10/3, is determined by the provided statement.

Furthermore, despite the fact that this is never the case, every rhombus is considered to be a parallelogram. A quadrilateral is a form that is flat. They arrive in quartets. A parallelogram is formed by two opposing sides that are flat and proportional to one another. Parallelograms come in 4 distinct varieties, including 3 unique varieties. Rhombuses, triangular shapes, cubes, and squares are the four types.

The diagonal area products are equal.

Divide the two sides by 6 20/6 = x = 10/3 since 4*5 Equals 6 * x 20 Equals 6 * x

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The complete question is-

A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?

Answer:

15

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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Answer:

To Be Honest watch the video they help

Step-by-step explanation:

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Answer: The acute angle between diagonals is 50

Step-by-step explanation:

Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).

Alternatively:

Green angle is 130 by sum of interior angles of a triangle.

Red angle is 50 by Adjacent angles

Using three Boolean propositions p,q, and r a Disjunctive Normal Form (DNF) formula that is true only when an odd number (one or three) of the propositions are true is (p ∧ ¬q ∧ ¬r) ∨ (¬p ∧ q ∧ ¬r) ∨ (¬p ∧ ¬q ∧ r) ∨ (p ∧ q ∧ r).

To construct a Disjunctive Normal Form (DNF) formula using three Boolean propositions p, q, and r that is true only when an odd number (one or three) of the propositions are true, we need to create a formula using the AND (∧) and OR (∨) operators. The formula should represent all possible combinations where either one or three propositions are true. Here's a step-by-step explanation:

1. First, let's find all the combinations where only one proposition is true. There are three such combinations: (p ∧ ¬q ∧ ¬r), (¬p ∧ q ∧ ¬r), and (¬p ∧ ¬q ∧ r). In these combinations, only p, q, or r is true, respectively, and the others are false.

2. Next, we'll find the combinations where all three propositions are true: (p ∧ q ∧ r). This is the only combination where three propositions are true.

3. Now, we'll connect the combinations from steps 1 and 2 using the OR (∨) operator. This will create a DNF formula that is true only when an odd number of the propositions are true:

(p ∧ ¬q ∧ ¬r) ∨ (¬p ∧ q ∧ ¬r) ∨ (¬p ∧ ¬q ∧ r) ∨ (p ∧ q ∧ r)

This formula represents a Disjunctive Normal Form that is true when either one or three of the Boolean propositions p, q, and r are true. If any other combination of true and false values is assigned to p, q, and r, the formula will evaluate to false.

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Given: The numbers of voters that are registered with a certain political party in different regions

This can't be continous because we can't figure out how many people are registered with a certain political party.

It is like tracking how many push ups you can do. You can only do a certain amount and it varies. One day you can do 10 another 6 and another day 12. It is easier to make a chart of the people in a political party than to make a graph so that eliminates A and C.

And it can't be B because it is describing continuous data so it has to be D.

Answer:

D. The data are discrete because the data can only take on specific values.

The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.

Now, by the counting principle,

Hence, the possible triples are: (3, 3, 3), (4, 2, 4).

To learn more about the counting principle, refer to the link: https://brainly.com/question/10275154

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