1200 - 25d = 500
What is the value of d

The probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit is approximately 1 - ((16 * 15 * 14 * 13 * 12 * 11 * 10) / 16^7).

The probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit can be calculated using the concept of probability. There are a total of 16 possible characters in hexadecimal system (0-9 and A-F) and for each of the seven digits, there are 16 possible choices. Therefore, there are a total of 16^7 possible strings of seven hexadecimal digits.

To calculate the probability of having at least one repeated digit, we need to calculate the number of strings that have no repeated digits and subtract it from the total number of possible strings.

The number of strings with no repeated digits can be calculated as follows:

- For the first digit, there are 16 possible choices
- For the second digit, there are 15 possible choices (since one digit has already been chosen)
- For the third digit, there are 14 possible choices
- And so on, until the seventh digit, for which there are 10 possible choices (since six digits have already been chosen)

Therefore, the number of strings with no repeated digits is:

16 x 15 x 14 x 13 x 12 x 11 x 10

To calculate the probability of having at least one repeated digit, we need to subtract this number from the total number of possible strings and divide by the total number of possible strings:

1 - (16 x 15 x 14 x 13 x 12 x 11 x 10) / (16^7)

This gives us the probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit.

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The Western Allies, carry out the protection of democratic states from the perceived threat of Communist occupation (see the part on the Cold War and European integration)

began to begin a set of international organizations so that national governments could work jointly to resolve common problems on issues ranging from defense and security to moral trade to rebuild European nations physically and economically shattered by the Second World War.

Because so much had been demolished during the war, many European countries were heavily in debt to the United States and could not bear to rebuild.

There was a scarcity of food and raw materials; thousands of refugees were still those do not have homes.

Due to these problems, there were almost no jobs and unemployment was high.

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Yes because the digital scale only reports integers, making the measurement of weight a discrete variable.

However, the accuracy of the scale can also affect whether the weight measurement is truly discrete or has some degree of variability. If the scale has a high level of accuracy, the weight measurement may still be considered continuous even though it is reported in integers.

When using a digital scale that only reads in integers, your weight is considered a discrete variable, as it can only take on specific, separate values (whole numbers) rather than continuous values (including decimals). However, it's important to note that weight is inherently a continuous variable, but the limitations of the scale make it discrete in this specific scenario.

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Answer:

I don't know I wanna say the 3rd one

Step-by-step explanation:

Answer:

I am not so sure about this one.

Step-by-step explanation:

Answer:

aef true and bcd false

hope u get well in your exams

Step-by-step explanation:

The area of the regular decagon is approximately 98.7 square meters when rounded to the nearest tenth.

To find the area of a regular decagon, we can use the formula:

Area = (1/2) * apothem * perimeter

Given that the apothem is 5 meters and the side length is 3.25 meters, we can calculate the perimeter using the formula for a regular decagon:

Perimeter = 10 * side length

Perimeter = 10 * 3.25 = 32.5 meters

Substituting the values into the area formula, we get:

Area = (1/2) * 5 * 32.5

Area = 2.5 * 32.5 = 81.25 square meters

Rounding to the nearest tenth, the area of the regular decagon is approximately 98.7 square meters.

Therefore, the area of the regular decagon with an apothem of 5 meters and a side length of 3.25 meters is approximately 98.7 square meters when rounded to the nearest tenth.

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The system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

To solve the system of equations:

1x + 0y + 60z = 1

1x + 10y + 0z = 0

0x + 0y + 0z = 0

The third equation is an identity, implying that it does not give us any new information. The first two equations can be used to solve for x, y, and z:

From the first equation, we get x = 1 - 60z

From the second equation, we get y = 0 - 10x = -10(1 - 60z) = -10 + 600z

Therefore, the solution to the system can be written as a point in terms of z as:

(x, y, z) = (1 - 60z, -10 + 600z, z)

Since z can take on any value, there are infinitely many solutions to the system, which can be parameterized as:

(x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

he system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

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The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

What is the unit rate?

A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

The number of teaspoons:

                                      \(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)

Amount of pasta:

                              \(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)

Now the unit rate = number of teaspoons/ amount of pasta

                             \(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)

Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

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Answer:

Step-by-step explanation:

1/2

the molecular formula is obtained by multiplying the empirical formula (CH) by the molecular formula ratio: Molecular formula = (CH) * 6 = C6H6

To determine the percent composition, empirical formula, and molecular formula of the substance, we need to use the given masses of the elements and the molecular mass.

a. Percent Composition:

The percent composition represents the proportion of each element's mass in the total mass of the substance.

For carbon:

Percent composition of carbon = (mass of carbon / total mass of substance) * 100

Percent composition of carbon = (43.910 g / 47.593 g) * 100

Percent composition of carbon ≈ 92.09%

For hydrogen:

Percent composition of hydrogen = (mass of hydrogen / total mass of substance) * 100

Percent composition of hydrogen = (3.683 g / 47.593 g) * 100

Percent composition of hydrogen ≈ 7.74%

Therefore, the percent composition of carbon and hydrogen in the substance is approximately 92.09% and 7.74%, respectively.

b. Empirical Formula:

The empirical formula represents the simplest ratio of the elements in a compound.

To determine the empirical formula, we need to find the mole ratios of the elements. First, we calculate the moles of each element using their masses and molar masses:

Moles of carbon = mass of carbon / molar mass of carbon

Moles of carbon = 43.910 g / 12.01 g/mol

Moles of carbon ≈ 3.659 mol

Moles of hydrogen = mass of hydrogen / molar mass of hydrogen

Moles of hydrogen = 3.683 g / 1.01 g/mol

Moles of hydrogen ≈ 3.649 mol

Next, we divide the number of moles of each element by the smallest number of moles to get the simplest ratio:

Carbon : Hydrogen ≈ 3.659 mol / 3.649 mol ≈ 1:1

The empirical formula of the substance is CH.

c. Molecular Formula:

To determine the molecular formula, we need the molecular mass of the substance.

The molecular mass is given as 78.11 u.

The empirical formula mass can be calculated by adding the molar masses of carbon and hydrogen:

Empirical formula mass = (molar mass of carbon * number of carbon atoms) + (molar mass of hydrogen * number of hydrogen atoms)

Empirical formula mass = (12.01 g/mol * 1) + (1.01 g/mol * 1)

Empirical formula mass = 13.02 g/mol

To find the molecular formula, we divide the molecular mass by the empirical formula mass and determine the whole-number ratio:

Molecular formula ratio = molecular mass / empirical formula mass

Molecular formula ratio = 78.11 g/mol / 13.02 g/mol

Molecular formula ratio ≈ 6

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The probability of being a senior is the total number of seniors divided by the total number of students.

The probability of a student walking given that they are seniors can be calculated using Bayes' theorem. Bayes' theorem is a formula that relates conditional probabilities to their inverses. The formula is: P(A|B) = P(B|A) P(A) / P(B)where P(A|B) is the probability of event A given that event B has occurred. In this case, A is "walking" and B is "senior." P(B|A) is the probability of being a senior given that the student is walking, P(A) is the probability of walking, and P(B) is the probability of being a senior. We can also represent the above formula in the form of a tree diagram, where P(walk | senior) is one branch of the tree.

The probability of being a senior is represented by the root of the tree, while the probability of walking is represented by a branch from the root. The probability of walking given that the student is a senior is calculated by dividing the probability of a senior walking by the probability of being a senior. The probability of walking can be calculated by adding up the probabilities of walking for each grade level and dividing by the total number of students.

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\(S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\\)

\(\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13\)

Answer:

13

Step-by-step explanation:

2 + 4 + 6 + 8 + ...... + 26

n = 13

Sum of first 'n' even numbers = n( n +1)

                                                 = 13 * 14

                                                  = 182

1 + 3 + 5 + 7 + .....+25

n = 13

Sum of first 'n' odd numbers = n²

                                               = 13 * 13

                                               = 169

2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169

                                                                            = 13

Answer:

24

Step-by-step explanation:

120 minus 80% = 120 times 20% (fractions division method)

120 times 20% = 120 times 0.2 (simplify)

120*0.2 = 24, so the answer is 24

The height is increasing at the rate of (6/5π) ft/min.

It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone is - V=1/3hπr²

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Answer: I think it’s 4

Step-by-step explanation: count the squares surrounding the triangle, 4 times 2 is eight 1/2 of that is 4

Answer:

10)17.5

11)18

12)70

13)110

Problem 10

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

======================================

Problem 11

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

======================================

Problem 12

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

======================================

Problem 13

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

Answer:

5+14=20 is not true

Step-by-step explanation:

5+14=19 not 20

Answer:

5+14=20 is not true

Step-by-step explanation:

5+14=20 is not true

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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The possible locations of another vertex are: (14, 8), (6, 0), (-2, 8), and (6, 16).

To find the location of another vertex of the square, we need to use the information given.

We know that the square has a perimeter of 32, which means that all four sides of the square are equal in length.

Since the perimeter is the sum of all four sides, each side of the square has a length of 32/4 = 8 units.

One vertex is given as (6, 8). Since the sides of the square are equal in length, we can determine the location of another vertex by considering the possible positions of the other three sides.

Let's analyze the possible positions of the sides based on the given vertex (6, 8):

1. If the other vertex is located to the right of (6, 8), the x-coordinate would be 6 + 8 = 14.

2. If the other vertex is located below (6, 8), the y-coordinate would be 8 - 8 = 0.

3. If the other vertex is located to the left of (6, 8), the x-coordinate would be 6 - 8 = -2.

4. If the other vertex is located above (6, 8), the y-coordinate would be 8 + 8 = 16.

Therefore, the possible locations of another vertex are: (14, 8), (6, 0), (-2, 8), and (6, 16).

The possible locations of another vertex of the square, given the information provided, are (14, 8), (6, 0), (-2, 8), and (6, 16).

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The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Step-by-step explanation:

70

*4

___

280.......ans

Answer:

Step-by-step explanation:

We can solve this using the pythagorean theorem.

We know that a^2 + b^2 = c^2.

Our c value is the hypotenuse, and it does not matter what a or b is, as we will be solving for one of them.

We can set up our equation as such:

6^2 + b^2 = 20^2

From here, we can solve this algebraically.

\(6^2 + b^2 = 20^2\)

\(36 + b^2 = 400\)

\(b^2 = 364\)

\(b=\sqrt{364}\)

\(b=19.07878403\)

Here, b is our length for y, so y is equal to 19.07878403.

Answer:

50 divided by 3/4 =

Step-by-step explanation:

he spent 37 dollars and 5 cents

The Surface area of the given cuboid is found to be 872 sq, in.

Three-dimensional shapes with length, breadth, and height are called cuboids. Six of the cuboid's sides are referred to as faces.

Surface area of a cuboid is = 2(lw + 2lh + hw0

S.A = 2[(17)*(8) + (8)*(12) +(12)*(17)]

S.A = 2*436

S.A = 872

Thus, the Surface area of the given cuboid is found to be 872 sq, in.

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Answer:

assuming that there are an equal number of colored marbles in the bag and their total is 20 marbles in the bag:

C) 17/20

Step-by-step explanation:

increase in x results in the decrease in y

Answer:

• Decrease in x results in the increase in y

• Increase in x results in the decrease in y

Answer:

10.5 I think

Step-by-step explanation:

the platform is 42ft so if you divide 42 by 4 you get 10.5

Without knowing the specific values of A, A1, A2, and A3, it is not possible to determine whether A belongs to the span of {A1, A2, A3}.

I assume that M22 refers to the set of 2x2 matrices.

To determine whether the given vector A belongs to the span of {A1, A2, A3}, we need to see if we can find scalars c1, c2, and c3 such that:

A = c1*A1 + c2*A2 + c3*A3

If we can find such scalars, then A is in the span of {A1, A2, A3}. Otherwise, it is not.

Without knowing the specific values of A, A1, A2, and A3, it is not possible to determine whether A belongs to the span of {A1, A2, A3}.

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Answer:

27 people

Step-by-step explanation:

If 6 chairs are empty, that means 1/4 of the chairs is 6.

6*4 = 24, the total amount of chairs.

24 - 6 = 18, the number of chairs occupied.

If 18 people is 2/3 of the amount of people, if we divide 18 by 2, getting 9, that is 1/3 of the amount of people.

9 * 3 = 27, the total amount of people.

Answer:

11.6666666 (infinitely)