Bethany has a sticker book with 200 pages.

Each sticker takes up

1/8


page. How many stickers can she put in the book?


A.

250 stickers


B.

25 stickers


C.

1,600 stickers


D.

1,000 stickers

Answer:

3,468?

Step-by-step explanation:

I think the prompt is a little confusing, but I went with the logic of literally using the numbers and combining them.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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The sampling method described, where every 5th person on a list is chosen, is known as systematic sampling.

Systematic sampling is a sampling method where the researcher selects every k-th element from a population or a list. In this case, the researcher chooses every 5th person on the list.

Here's how systematic sampling works:

1. The population or list is ordered in a specific way, such as alphabetical order or ascending/descending order based on a specific criterion.

2. The researcher defines the sampling interval, denoted as k, which is the number of elements between each selected element.

3. The first element is randomly chosen from the first k elements, usually by using a random number generator.

4. Starting from the randomly chosen element, the researcher selects every k-th element thereafter until the desired sample size is reached.

Systematic sampling provides a more structured and efficient approach compared to simple random sampling, as it ensures coverage of the entire population and reduces sampling bias. However, it is important to note that systematic sampling assumes that the population is randomly ordered, and if there is any pattern or periodicity in the population list, it may introduce bias into the sample.

In summary, the sampling method described, where every 5th person on a list is chosen, is known as systematic sampling. It is a type of non-random sampling method, as the selection process follows a systematic pattern rather than being based on random selection.

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The complete question is:

In a study, the sample is chosen by choosing every 5th person on a list What is the sampling method?

Simple

Random

Systematic

Stratified

Cluster

Convenience

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a

new shape (called the image). A translation is a type of transformation that moves each point in a figure the same

distance in the same direction. Translations are often referred to as slides. You can describe a translation using words

like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.

1. One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.

2. The second notation is a mapping rule of the form (x, y) → (x−7, y+5). This notation tells you that the x and

y coordinates are translated to x−7 and y+5.

Step-by-step explanation:

Answer:

the answer is 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

\( \sqrt{ \frac{242}{2} } \\ = \sqrt{121} \\ = 11\)

The time interval when the object is speeding up is t > 2, and the time interval when the object is slowing down is 1 < t < 2.

Given that

S(t) = 2t³ - 3t² - 12t + 8

Differentiate to get the velocity function

v(t) = 6t² - 6t - 12

Differentiate to get the acceleration function

a(t) = 12t - 6

To determine the time intervals when the object is slowing down or speeding up, we need to examine the sign of the velocity and acceleration functions.

The object is speeding up when the velocity function is positive and the acceleration function is also positive.

This occurs when t > 2 (graphically)

Similarly, the object is slowing down at t < 2

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The equation to solve the width of the rectangle is

24 = 2(length + width)

The width of the rectangle is 12 - x where x is the length of the rectangle.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = x

Perimeter = 24 feet

The perimeter of the rectangle = 2( length + width)

Now,

24 = 2 (length + width)

12 = x + width

The width of the rectangle.

Width = 12 - x

Thus,

The width of the rectangle is 12 - x.

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Answer:

3:12

Step-by-step explanation:

1:4 is the ratio. 1 x 3 = 3

So, 4 x 3 = 12.

The answer is 3:12!

We have:-

\( \tt \: So,amount \: for \: 2 \: years = p \large(1 + \frac{r}{100}) {}^{n} \)

\( \tt=₹26,400 \large(1 + \frac{15}{100}) {}^{2}\)

\( \tt=₹26,400 \: \large( \frac{23}{20}) {}^{2} \)

\( \tt =₹26,400 \times \frac{23}{20} \times \frac{23}{20} \\ \)

\( \tt = 66 \times 529=₹34,914\)

\( \tt \: So,SI \: for \: 4 \: months = \frac{P \times R \times n }{100 \times 12} \)

\( \tt \: = \frac{ 34,914 \times 15 \times 4 }{100 \times 12} \\ \)

\( \tt\boxed{ = 1745.70}\)

Thus,the amount after 2years and 4months =₹34,914+₹1745.70=₹36,659.70

\( \bold \red{I \: hope \: this \: may \: help \: you}\)

Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

Answer:

The fraction of Jerry's take-home pay that is left after paying for these two items is 7/12.

Step-by-step explanation:

Consider that the total take-home pay each month Jerry receives is, $x.

It is provided that:

The remaining amount can be computed by subtracting the amount spent from the total amount.

Compute the amount Jerry has spent so far:

Amount Spent = Car Payment + Food

                         \(=\frac{1}{6}x+\frac{1}{4}x\\\\=[\frac{1}{6}+\frac{1}{4}]x\\\\=[\frac{2+3}{12}]x\\\\=\frac{5}{12}x\)

Compute the remaining amount as follows:

Remaining Amount = Total Amount - Amount Spent

                                \(=x-\frac{5}{12}x\\\\=[1-\frac{5}{12}]x\\\\=[\frac{12-5}{12}]x\\\\=\frac{7}{12}x\)

Thus, the fraction of Jerry's take-home pay that is left after paying for these two items is 7/12.

The vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩ is ⟨-4+t, -4+4t⟩.

To find a vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩, we need to first find the direction vector of the line we want to create. Since the line we want is perpendicular to ⟨1+4t,4-t⟩, its direction vector should be orthogonal to ⟨1, -1/4⟩ which is the direction vector of ⟨1+4t,4-t⟩.

So, we can find a direction vector for the line we want by taking the dot product of the direction vector of ⟨1+4t,4-t⟩ and any vector that is orthogonal to ⟨1, -1/4⟩. A convenient choice for an orthogonal vector is ⟨1, 4⟩ since their dot product is 1 * 1 + (-1/4) * 4 = 0.

Thus, a direction vector for the line we want is ⟨1, 4⟩. Now we can use the point (-4,-4) and the direction vector ⟨1, 4⟩ to find a vector parametric equation for the line we want:

x = -4 + t

y = -4 + 4t

So the vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩ is ⟨-4+t, -4+4t⟩.

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Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

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Answer:

the smaller number is 18 and the larger number is 24

(a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.)We are given two planes, x + y + z = 2 and x + 4y + 4z = 2.

We can find the line of intersection of the planes by solving their equations simultaneously.

The solution to these equations is:x + y + z = 2x + 4y + 4z = 2Subtracting the first equation from the second gives:3y + 3z = 0 ⇒ y + z = 0 ⇒ y = -z

Therefore, we can set z = t and express x and y in terms of t as follows:x = 2 - y - zx = 2 - (-t) - ty = -tx = 2 + t, y = -t, z = t

Thus, the parametric equations for the line of intersection of the planes are:(x(t), y(t), z(t)) = (2 + t, -t, t)

(b) Find the angle between the planes.  

To find the angle between the planes, we can find the angle between their normal vectors. We can determine the normal vectors by rewriting the equations of the planes in the form Ax + By + Cz = D, where (A, B, C) is the normal vector to the plane.x + y + z = 2 can be written as x + y + z - 2 = 0. So the normal vector is (1, 1, 1).x + 4y + 4z = 2 can be written as x + 4y + 4z - 2 = 0. So the normal vector is (1, 4, 4).

Using the dot product formula, the angle θ between the normal vectors is given by:cos θ = \(\frac{(1,1,1)\cdot (1,4,4)}{\left|(1,1,1)\right|\left|(1,4,4)\right|}\) = \(\frac{9}{\sqrt{3}\sqrt{33}}\) ≈ 0.52θ = arccos(0.52) ≈ 1.02 radians or ≈ 58.3 degrees

Therefore, the angle between the planes is approximately 58.3 degrees.

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The Laplace transform of the motion equation is mx(t) + dx(t) + kx(t) = f(t).

Given: Motion equation is mx(t) + dx(t) + kx(t) = f(t); X(s) and

F(s) be the Laplace transforms of the position x(t) and external force f(t) respectively.

Transfer function is G(s)= X(s)/F(s) = 1/ms² + ds + k

To derive a transfer function of a mass-spring-damper system from its equation of motion, we have to follow these steps:

Step 1: Take the Laplace transform of the motion equation.

Laplace Transform of the given equation is,  mX(s)s² + dX(s)s + kX(s) = F(s)

Step 2: Write X(s) in terms of F(s)X(s) = F(s) / m s² + d s + k

Step 3: Now the transfer function can be derived using the ratio of X(s) to F(s).

Transfer Function = G(s) = X(s) / F(s)G(s) = 1 / ms² + ds + k

Hence, the transfer function of a mass-spring-damper system from its equation of motion is G(s) = 1 / ms² + ds + k. 

In order to derive a transfer function of a mass-spring-damper system from its equation of motion, the following steps are necessary:

  Take the Laplace transform of the motion equation.

The Laplace transform of the motion equation is mx(t) + dx(t) + kx(t) = f(t).

X(s) and F(s) are the Laplace transforms of the position x(t) and external force f(t), respectively.

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With the given ratio of red to blue cars, which is 3:4, Evan has 16 blue toy cars.

To find the number of cars, follow these steps  -

1: Identify the ratio - Red cars:Blue cars = 3:4

2: Determine the number of red cars - Evan has 12 red toy cars.

3: Find the ratio equivalent to the number of red cars - 12 red cars / 3 (from the ratio) = 4

4: Multiply the ratio of blue cars by the equivalent found in step 3 - 4 (from the ratio) * 4 = 16

So, Evan has 16 blue toy cars.

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Answer:

125*125

Step-by-step explanation:

5^6 means 6 5's multiplied together

5*5*5*5*5*5

25*5*5*5*5

125*5*5*5

125*125

Answer:

Step-by-step explanation:

5⁶

= 5 × 5 × 5 × 5 × 5 × 5

= 25 × 5 × 25 × 5

= 125 × 125

= 15625

Answer:

24%

Step-by-step explanation:

we subtract to see how much it increased

62-50=12

Now divide 12 by 50 to get percent

12/50

0.24

0.24x100

24%

Hopes this helps please mark brainliest

Answer:

$75

Step-by-step explanation:

$15 divided by 0.2 = $75

0.2 = 20%

Answer:

Need more points lang sorry

Answer:

Step-by-step explanation:

(2, -5)   ; (-6 , -11)

Distance = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

              \(=\sqrt{(-6-2)^{2}+(-11-[-5])^{2}}\\\\=\sqrt{(-6-2)^{2}+(-11+5)^{2}}\\\\=\sqrt{(-8)^{2}+(-6)^{2}}\\\\=\sqrt{64+36}\\\\=\sqrt{100}\\\\=10\)

By using probability, it can be calculated that

Probability that when two balls are selected at random with no replacement , both are green = 0.357

What is probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Number of green balls = 5

Number of red balls = 3

Total number of balls = 5 + 3 = 8

Probability that when two balls are selected at random with no replacement , both are green = \(\frac{5}{8} \times \frac{4}{7} = \frac{5}{14} = 0.357\)

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Answer:

let x represent the time it took Caroline to complete the puzzle .

let 3x represent the time it took Felix to complete the puzzle.

let 0.25x represent the time it took Graham to complete the puzzle

the the ratio of their time would be

x:3x:0.25x

The ratio of their time is 4 :12 : 1.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

let the time taken by Caroline be x.

So, the time taken by Graham is x/4.

and, the time taken by Felix is 3x.

So, the ratio of time

Caroline time: Felix time: Graham time

= x: 3x : x/4

= 1 : 3 : 1/4

= 4 : 12 : 1.

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Answer:

Step-by-step explanation:

DB then AB CD

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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