A survey got 67,371 responses. The survey has 24 questions. How many total answers need to be processed?

The total number of 4-digit campus telephone numbers in which the digit 6 appears at most twice is 7533.

There are two cases to consider:

Case 1: No 6's in the number

In this case, we can choose any digit from 0 to 9 for each of the 4 digits of the telephone number, except 6. Therefore, there are 9 options for each digit, and so the total number of 4-digit telephone numbers with no 6's is:

9 × 9 × 9 × 9 = 6561

Case 2: One or two 6's in the number

In this case, we can choose the positions for the 6's in ${4 \choose 1} + {4 \choose 2} = 6 + 6 = 12$ ways (either one 6 or two 6's), and then fill the remaining positions with any of the 9 digits (not including 6). Therefore, the total number of 4-digit telephone numbers with one or two 6's is:

12 × 9 × 9 = 972

Therefore, the total number of 4-digit campus telephone numbers in which the digit 6 appears at most twice is:

6561 + 972 = 7533

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

The probability that 7 is recorded at least three times is 7/12 times.

7 is recorded at least three times in one time (A) = (2, 5), (2, 6), (3, 4) (3, 5) (3, 6), (4, 3) ,(4, 4) ,(4, 5) ,(4, 6), (5, 2) ,(5, 3), (5, 4), (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5), (6, 6).

n(A) = 21

7 is recorded at least three times in ten times (B) = 10*n(A)

n(B) = 10*21

      = 210

Total possible outcomes at one time = 36

Total possible outcomes at ten times, [n(S)] = 360

The probability that 7 is recorded at least three times = 7 is recorded at least three times in ten times / Total possible outcomes at ten times

P(B) = n(B) / n(S)

       = 210/360

       = 7/12

Hence,  the probability that 7 is recorded at least three times is 7/12 times.

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(a) The value of λ that corresponds to the event E, which is represented by the coordinates (0, 0, 1, 0), is λ = 1. This means that when λ takes the value of 1, the worldline intersects the event E.

The parameter λ serves as a parameterization for the worldline x μ (λ), where μ represents the spacetime coordinates (x 0 , x 1 , x 2 , x 3 ). By substituting the values provided in the problem, we find that x 0 (λ) = λ, x 1 (λ) = λ/2, x 2 (λ) = 1 - λ^2, and x 3 (λ) = 0. Evaluating x μ (λ) at λ = 1 gives us the coordinates (0, 0, 1, 0), which correspond to the event E.

(b) To compute the components of the tangent vector dx μ / dλ at the event E, we differentiate each component of x μ (λ) with respect to λ. This gives us dx 0 / dλ = 1, dx 1 / dλ = 1/2, dx 2 / dλ = -λ, and dx 3 / dλ = 0. These derivatives represent the rates of change of the worldline coordinates with respect to the parameter λ at the event E.

(c) The problem introduces a new frame x ′μ that is boosted with respect to the original frame x μ by a velocity v along the x 1 direction. The Lorentz transformation matrix Λ relates the coordinates in the two frames. By applying the Lorentz transformation to the components of dx μ / dλ, we can obtain the components of dx ′μ / dλ in the new frame x ′μ. The transformed components are dx ′0 / dλ = -v/√(1-v^2), dx ′1 / dλ = (1-v^2)/√(1-v^2), dx ′2 / dλ = 0, and dx ′3 / dλ = 0.

(d) For PHY821 only: To find the velocity of the observer along the worldline x μ (λ) at the event E, we calculate the derivatives dx i / dx 0, where i represents the spatial coordinates. Since x 0 is simply equal to λ, the derivatives dx i / dx 0 can be obtained by dividing the corresponding components of dx μ / dλ by dx 0 / dλ. Therefore, dx 1 / dx 0 = (1/2) / 1 = 1/2, dx 2 / dx 0 = -λ / 1 = -λ, and dx 3 / dx 0 = 0 / 1 = 0. These values represent the velocity components of the observer at the event E.

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Answer:

y= -2

x= 0

Explanation

0 - 2 = -2

-2 - (-2) = 0

Answer:

I believe the answer you're looking for is 2

Step-by-step explanation:

Answer:

0.67

Step-by-step explanation:

We have shown that the equation holds true for k+1, assuming that it holds true for k. Since we have established that the base case (n=1) is true and have shown that the equation holds true for k+1 given that it holds true for k, we can conclude that the equation holds true for all values of n.

To prove that 1×2 + 2×3 + ... + n×(n+1) = n(n+1)(n+2)/3 using mathematical induction, we need to first establish the base case and then show that the equation holds true for all values of n.

The base case for mathematical induction is typically the simplest possible case, which in this case would be n=1. Plugging in n=1 into the equation gives us:

1×2 = 1(1+1)(1+2)/3

2 = 2, which is true.

Now, we assume that the equation holds true for some arbitrary value of k, and we want to prove that it also holds true for k+1. That is, we want to show that:

1×2 + 2×3 + ... + k×(k+1) + (k+1)×(k+2) = (k+1)(k+2)(k+3)/3

We start by adding (k+1)×(k+2) to both sides of the equation:

1×2 + 2×3 + ... + k×(k+1) + (k+1)×(k+2) + (k+1)×(k+2) = (k+1)(k+2)(k+3)/3 + (k+1)×(k+2)

Simplifying the right-hand side gives us:

(k+1)(k+2)(k+3)/3 + (k+1)×(k+2) = (k+1)(k+2)(k+3+3)/3

= (k+1)(k+2)(k+4)/3

= (k+1)((k+1)+1)((k+1)+2)/3

Therefore, we have shown that the equation holds true for k+1, assuming that it holds true for k. Since we have established that the base case (n=1) is true and have shown that the equation holds true for k+1 given that it holds true for k, we can conclude that the equation holds true for all values of n.

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Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

Answer:

71.5"

Step-by-step explanation:

7.5x5=37.5

37.5+34=71.5"

Answer:

71.5

Step-by-step explanation:

SIZE

400

UNIT OF MEASURE

meters

BASED ON LANE

1

To begin, you must do Steps 1-3 to enter (or verify) the correct information for the track being used. Frequently-used values have been pre-entered in all three steps. Change them only if required.

Step 1. ENTER THE TRACK SIZE (i.e., the distance covered when completing one lap - normally in Lane 1) and select the unit of measure.

 most outdoor tracks are either 400 meters or 440 yards (4 laps to a mile)

 most indoor tracks are either 200 meters or 220 yards (8 laps to a mile)

See NOTE 3 for determining track size. Also note that a very small number of tracks use a lane other than Lane 1 to define the track size (see NOTE 4). If the size you entered is not based on Lane 1, select the lane number upon which the size is based.

Step 2. ENTER THE LANE WIDTH of lanes on the track (they should all be the same width). While the best tracks (IAAF, Olympic, etc.) have lanes that are 1.22m to 1.25m wide, most high school and college tracks have lane widths measured in inches (e.g., 42"). See NOTE 5 for information on how to measure lane width. LANE WIDTH

42

Step 3. IS THERE A RAISED CURB on the inside of Lane 1 (normally 2" - 2.5" high)? If there is, select "yes." If the inside edge of Lane 1 is defined only by a painted line, select "no." See NOTE 6 for further information about curbs.

no

Now that you have completed Steps 1 - 3, select a calculation section below, enter the requested parameter(s), and click on the "click here" calculation button for that section. After noting (or printing) the results, enter different parameters for the same calculation or proceed to another calculation section.

ANWERS: 42  

Answer:

Six times.

Step-by-step explanation:

Find the perimeter: 100+100+150+150= 500 m all the way around

3 km = 3000 m

3000 divided by 500 is 6 times.

The type of sample that is selected to reflect the demographic characteristics of the population of interest is representative samples. Option b is correct.

Representative samples are selected to reflect the demographic characteristics of the population of interest. This sampling method aims to ensure that the sample closely resembles the larger population in terms of its demographic composition.

By including individuals from various demographic groups in the sample, representative samples allow for more accurate generalizations and conclusions to be drawn about the population as a whole. This sampling approach is commonly used in research studies and surveys to gather data that is representative of the larger population's characteristics and attitudes.

Therefore, b is correct.

Which type of sample is selected to reflect the demographic characteristics of the population of interest?

A. Convenience samples

B. Representative samples

C. Random samples

D. Cumulative samples

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The volume of each marble is 0.05 liter

The volume function is given as:

w = 32 - 0.05n

The variable n represents the number of marbles.

This means that 0.05n represents the volume of n marbles and 32 represents the total volume of the glass tank

To get the volume of each marble, we divide 0.05n by n

i.e.

Volume = 0.05n/n = 0.05

Hence, the volume of each marble is 0.05 liter

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Answer:

i sont know what those dotted lines are but the area of the whole triangle is 1529.04

Step-by-step explanation:

Im sorry if this is not what your looking for

The translation used to move quadrilateral WXYZ onto quadrilateral W′X′Y′Z′ is horizontal translation of 10 units towards the left.

A translation refers to a geometric transformation that moves every point of a figure, shape, or space by the same distance in a given direction. A translation moves a shape left or right and/or up or down and the translated shapes look exactly the same size as the original shape.

Horizontal translation is the to the movement of the figure, shape, or space to the left or right by a certain number of units in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally. Consider a point of the quadrilateral WXYZ, say X. The coordinate of X is (7, -3). As the shape is horizontally translated onto quadrilateral W′X′Y′Z′, the coordinate of X′ is (-3, -3). Hence, the units translated = 7 – (-3) = 7 + 3 = 10. Hence, the quadrilateral is moved left by 10 units.

Note: The question is incomplete. The complete question probably is: A horizontal translation is used to move quadrilateral WXYZ onto quadrilateral W′X′Y′Z′. Describe the translation used.

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The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

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Answer:

The circle with a radius of 7

Step-by-step explanation:

A circle's radius is half its diameter, so if a circle has a radius of 7, it has a diameter of 14.

Answer:

the one with the radius of 7 since it has a circumference of 43. but the one with the diameter of 10 only has a circumference of 31

hope this helps

The single transformation that is equivalent to a reflection over the x-axis, followed by a rotation of 90 degrees, is a reflection over the y-axis.

Here, we have,

we know that,

When you reflect a figure over the x-axis, all the points are flipped vertically, so a point (x, y) would become (x, -y).

Then, when you rotate the reflected figure by 90 degrees counterclockwise, the x-coordinate and y-coordinate swap places, resulting in (-y, x).

If we perform a reflection over the y-axis on the original figure (x, -y), the y-coordinate is negated, resulting in (-x, -y).

Then, when we rotate this figure by 90 degrees counterclockwise, the x-coordinate and y-coordinate swap, giving us (-y, -x), which is equivalent to (-y, x).

Therefore, a reflection over the y-axis achieves the same result as a reflection over the x-axis followed by a rotation of 90 degrees.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

C

Step-by-step explanation:

Answer:

m=52

Step-by-step explanation:

the answer is 9

what we are doing is subtracting 1 from the x to get the y

Answer:

the answer is 9

Step-by-step explanation

what we are doing is subtracting 1 from the x to get the y

Answer:

(4, 2 )

Step-by-step explanation:

Given a graph of a system of equations, then the solution is at the point of intersection of the 2 lines.

The lines intersect at (4, 2 ) ← solution

Answer:

1.25

Step-by-step explanation:

so you multiply 1.75 by 5 which is 8.25. You subract 10 by 8.25

Answer:

hi its 7

Step-by-step explanation:

There are 7 numbers in the given sequence.

Here,

The last two entries are 37 and 60 in the order.

The first entry is 4.

What is Sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Now,

First term is 4.

Last two terms are 37 and 60.

Condition is given as, we add any two consecutive entries to get the very next entry.

For find the third number from the last is as;

x + 37 = 60

x = 60 -37

x = 23

Continuing this pattern we get the sequence;

4, 5, 9, 14, 23, 37, 60

Clearly, There are 7 entries in the given sequence.

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Answer:

3577

Step-by-step explanation:

From the question given above, the following data were obtained:

7•2ᶦ

i = 0, 1, 2, .., 8

Sum =?

The sum can be obtained as follow:

7•2ᶦ

i = 0

7•2⁰ = 7 × 1 = 7

i = 1

7•2ᶦ = 7•2¹ = 7 × 2 = 14

i = 2

7•2ᶦ = 7•2² = 7 × 4 = 28

i = 3

7•2ᶦ = 7•2³ = 7 × 8 = 56

i = 4

7•2ᶦ = 7•2⁴ = 7 × 16 = 112

i = 5

7•2ᶦ = 7•2⁵ = 7 × 32 = 224

i = 6

7•2ᶦ = 7•2⁶ = 7 × 64 = 448

i = 7

7•2ᶦ = 7•2⁷ = 7 × 126 = 896

i = 8

7•2ᶦ = 7•2⁸ = 7 × 256 = 1792

Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792

Sum = 3577

In Euclidean geometry, opposite sides and angles of a parallelogram are congruent, a property not shared in non-Euclidean planes. The opposite sides and opposite angles of a parallelogram in a Euclidean plane are congruent.

In a general Hilbert plane, opposite sides of a parallelogram need not be congruent. This is because non-semi-Euclidean planes such as the Saccheri and Lambert quadrilaterals do not satisfy the Euclidean parallel postulate. However, in a plane that satisfies the Euclidean parallel postulate, opposite sides and opposite angles of a parallelogram are congruent.

The Euclidean parallel postulate states that given a line and a point not on that line, there is only one line that passes through that point and does not intersect the original line. This means that in Euclidean geometry, parallel lines never meet. Therefore, in a Euclidean plane, we can construct parallelograms by drawing two parallel lines and then connecting them with other segments.

Let ABCD be a parallelogram in a Euclidean plane. Draw diagonal AC, which divides the parallelogram into two congruent triangles, ΔABC and ΔADC. Since ΔABC and ΔADC share the side AC, we have AB = CD and BC = DA by the Side-Side-Side (SSS) congruence criterion.

Similarly, since opposite sides of a parallelogram are parallel and thus form alternate interior angles, we have ∠A = ∠C and ∠B = ∠D by the Alternate Interior Angles Theorem. Therefore, opposite sides and opposite angles of a parallelogram in a Euclidean plane are congruent.

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The faster train overtake the slower on 5 p.m.

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time.

Let the number of hours after 1pm at which faster train will overtake slower train be x.

At overtaking point,

Distance travelled by slower train = Distance travelled by faster train

Given :

On equating distances we get

40 x ( x + 20) = 60 x (x)

40x + 80 = 60x

20x = 80

x = 4.

∴The faster train overtake the slower on 1 + 4 = 5 p.m.

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Answer:

517 birds

Step-by-step explanation:

Subtract 234 from 751, to find how many birds landed on the lake overnight.