Pls help asapppp I dint know the answer and I’m running out of time

The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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Therefore, there are 2,365,917,537,910 ways to select 10 pieces of gum from a bag of 250 pieces.

There are different ways to solve a combination problem like this one, but one common method is to use the formula for combinations. This formula is given by:

C(n,r)=\frac{n!}{r!(n-r)!}$$

Where n is the total number of objects in the set, r is the number of objects selected, and ! means factorial, which is the product of all positive integers up to a given number.

For example, 4!=4×3×2×1=24.

Using this formula, we can find the number of ways to select 10 pieces of gum from a bag of 250 pieces. We just need to plug in n=250 and

r=10 into the formula and simplify. The calculation is shown below:

C(250,10)=\frac{250!}{10!(250-10)!}$$

=\frac{250×249×248×...×242×241}{10×9×8×...×2×1}$$

=\frac{250×249×248×...×242×241}{10!}$$

=\frac{250}{10}×\frac{249}{9}×\frac{248}{8}×...\times\frac{242}{2}×\frac{241}{1}$$

=2,365,917,537,910

Therefore, there are 2,365,917,537,910 ways to select 10 pieces of gum from a bag of 250 pieces.

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The number of ways to select 10 pieces of gum from a bag of 250 pieces can be determined using the combination formula.

The combination formula is given by nCk,

where n is the total number of objects and k is the number of objects being selected.

In this case, n = 250 and k = 10.

Therefore, the number of ways to select 10 pieces of gum from a bag of 250 pieces is:

250C10 = 52,698,440,874 ways

So, the answer is 52,698,440,874 ways.

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The number of years it will take for $2,000 to grow to $3,100 is 4.99 years.

To calculate the number of years it will take for $2,000 to grow to $3,100, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the future value of the investment ($3,100)
P = the principal amount ($2,000)
r = the annual interest rate (9% or 0.09)
n = the number of times interest is compounded per year (quarterly, so 4 times)
t = the number of years

Plugging in the values, we get:

$3,100 = $2,000(1 + 0.09/4)^(4t)

Now, we can solve for t. Taking the natural logarithm of both sides and rearranging the equation, we have:

ln($3,100/$2,000) = 4t * ln(1 + 0.09/4)

t = ln($3,100/$2,000) / (4 * ln(1 + 0.09/4))

Calculating this using a calculator, we find that it will take approximately 4.82 years for $2,000 to grow to $3,100 if invested at 9% compounded quarterly.

(A) Approximately 4.82 years

Now let's calculate the time it will take for the money to grow if it is compounded continuously.

(B) _______ years

To calculate the time required for continuous compounding, we can use the formula:

A = P * e^(rt)

Where:
A = the future value of the investment ($3,100)
P = the principal amount ($2,000)
r = the annual interest rate (9% or 0.09)
t = the number of years

Plugging in the values, we have:

$3,100 = $2,000 * e^(0.09t)

Now, we can solve for t. Dividing both sides by $2,000 and taking the natural logarithm of both sides, we get:

ln($3,100/$2,000) = 0.09t

t = ln($3,100/$2,000) / 0.09

Calculating this using a calculator, we find that it will take approximately 4.99 years for $2,000 to grow to $3,100 if invested at 9% compounded continuously.

(B) Approximately 4.99 years

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Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

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When a fish is attached to a vertical spring and slowly lowered to its equilibrium position, the spring stretches by an amount d, as it balances the force exerted by the spring with the force due to the fish's weight.

Here, a fish attached to a vertical spring. When a fish is attached to a vertical spring and slowly lowered to its equilibrium position, the spring will stretch by an amount d.
The equilibrium position is the point where the force exerted by the spring equals the force due to the fish's weight (gravitational force). In this scenario, the spring stretches until it reaches a balance between these forces. The amount by which the spring stretches is denoted as d.
To summarize, when a fish is attached to a vertical spring and slowly lowered to its equilibrium position, the spring stretches by an amount d, as it balances the force exerted by the spring with the force due to the fish's weight.

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Take 6 as a common factor.

→ 6 (a²b + 2ab²)

Now take ab as a common factor.

→ 6ab (a + 2b)

Therefore, the factors are:

In the given difference equation, all the terms on the right side have indices equal to or less than \( n \), indicating that the output \( y(n) \) depends only on the current and past values of the input \( x(n) \) and output \( y(n) \).

The given difference equation is:

\[ y(n) = 0.1y(n-1) + 0.72y(n-2) + 0.7x(n) - 0.252x(n-2) \]

To find the impulse response of the system, we can set \( x(n) = \delta(n) \), where \(\delta(n)\) is the unit impulse function.

Plugging \( x(n) = \delta(n) \) into the equation, we have:

\[ h(n) = 0.1h(n-1) + 0.72h(n-2) + 0.7\delta(n) - 0.252\delta(n-2) \]

The above equation represents the impulse response of the system. Now, we can solve for \( h(n) \) by solving the recurrence relation.

Starting with \( n = 0 \):

\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7\delta(0) - 0.252\delta(-2) \]

\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7 - 0.252\delta(-2) \]

Since \(\delta(-2) = 0\), the last term becomes zero:

\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7 \]

Moving to \( n = 1 \):

\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7\delta(1) - 0.252\delta(-1) \]

\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7 - 0.252\delta(-1) \]

Again, \(\delta(-1) = 0\), so the last term becomes zero:

\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7 \]

Continuing this process, we can calculate the values of \( h(n) \) for each \( n \) using the given difference equation and initial conditions.

Regarding the stability of the system, we need to examine the magnitude of the coefficients in the difference equation. If the absolute values of all the coefficients are less than 1, then the system is BIBO stable (bounded-input bounded-output). In this case, the coefficients are 0.1, 0.72, 0.7, and -0.252, which are all less than 1 in magnitude. Therefore, the system is BIBO stable.

To determine causality, we need to check if the system's output at time \( n \) depends only on the current and past values of the input. If so, the system is causal.

In the given difference equation, all the terms on the right side have indices equal to or less than \( n \), indicating that the output \( y(n) \) depends only on the current and past values of the input \( x(n) \) and output \( y(n) \).

Therefore, the system is causal.

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The answer after solving the expression 12x - 3y / 4x - z with x = 3,y=1/3 and z = 5 is 5.

Given:

x = 3 , y = 1/3 and z = 5 and expression  12x - 3y / 4x - z.

substitute the x,y,z values in expression.

= 12(3)-3(1/3) / 4(3)-5

= 36 - 3/3 / 12 - 5

= 36 - 1 / 7

= 35/7

= 5.

Therefore the answer after solving the expression 12x - 3y / 4x - z with x = 3,y=1/3 and z = 5 is 5.

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Answer:

The two numbers are 6 and 19

Step-by-step explanation:

Assume that the two numbers are x and y

We are given that:

The sum of the two numbers is 25

This means that:

x + y = 25 ..........................> equation 1

We are also given that:

One number is twice the other plus 7

This means that:

x = 2y + 7 ..........................> equation 2

Substitute with equation 2 in equation 1 and solve for y:

2y + 7 + y = 25

3y + 7 = 25

3y = 18

y = 6

Now, substitute with the value of y in equation 2 to get x as follows:

x = 2y + 7

x = 2(6) + 7

x = 12 + 7

x = 19

Based on the above, we can conclude that the two numbers are:

6 and 19

Hope this helps :)

x+y=25 => x=-y+25

x= 2y+7

x=-y+25

x=2y+7

subtract the first equation from the 2nd

0=3y-18

y=6

x=19

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Answer:

3.14 square inches or π square inches

Step-by-step explanation:

The radius of a circle is 1 inch. What is the area?

r=1 in

The formula for the area of a circle is given as:

πr²

The radius (r) = 1 inch

Hence,

Area of the circle = π × 1²

= 3.1415926536 square inches

Approximately = 3.14 square inches or we can say that the Area of the circle = π square inches

Answer:

25,132.74 miles

Step-by-step explanation:

Hello!

We are basically asked to find the circumference of the Earth's cross-section.

Circumference: \(C = 2\pi r\)

We can replace 2r with the diameter, because the diameter is 2 times the radius.

Multiply the Diameter by pi:

It is around 25,132.74 miles around.

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Answer:

Tax for Italian Salad=$0.20

Tax for Lasagna= $0.43

Tax for  Spaghetti =$0.21

Tax for Fettuccini Alfredo   =$0.36

Step-by-step explanation:

Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):

Italian Salad =$3.99  

Lasagna =$8.50  

Spaghetti =$4.29  

Fettuccini Alfredo =$7.17

Feel free to ask for more if needed or if you did not understand something.  

Answer: .20

              .33

              .21

              .36

Step-by-step explanation: 2020 edg

result is 31+i in where 31 is real part and i is complex part as given i= √-1 and i²= -1

In mathematics complex number is an element which has two parts one is called real part and the remaining is termed as imaginary part. An example is 41+6i

here, 41 is real part, 6i is imaginary part

A real number cannot be added or subtracted with an imaginary number, but a real number can be multiplied or divided with an imaginary number.

We are given, (2+3i) (5-7i)

    at first, we expand it by removing parenthesis

2x5-2x7i+3ix5-3ix7i

10-14i+15i-21i²

now like term is added

10+i+21   as we are given i²= -1

    31+i

hence, we get 31+i

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The gradual, long-term movement in time series data is referred to as a trend.

A trend represents the overall direction and pattern observed in the data over an extended period, usually spanning multiple years or seasons. It captures the underlying growth or decline in the variable being analyzed.

Trends are characterized by consistent and systematic changes in the data, either in an upward or downward direction. They can be caused by various factors such as economic conditions, population growth, technological advancements, or social changes. Trends are typically observed over a long period and are useful for understanding the overall behavior of the data and making informed predictions about future values.

Unlike seasonal variation, which occurs at regular intervals within a year, trends persist over a more extended timeframe and are not tied to specific seasons or recurring patterns. It is important to distinguish trends from other components of time series data, such as cycles, which represent regular oscillations, and random variations, which are unpredictable fluctuations. Identifying and analyzing trends in time series data is crucial for detecting long-term patterns, forecasting future values, and making informed decisions in various domains, including economics, finance, and market research.

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By observing the given function (-1,-112),

A) Ashley solved the function for x = -1 and obtained the value of -112. The equation is making Ashley to get the required correct answer of -112. It doesn't have any sense to the answer, since there is no equation in the question in which we have to substitute the value of "-1".So, when there is no variable to substitute in the equation, the obtained value doesn't make any sense. So, I am agreeing with Vue.

B) Calculation part:

f(x) = -16x² + 96x

f(-1) = -16(-1)² + 96(-1)       [given that for x = -1, y = -112]

f(-1) = -16(1) - 96

f(-1) = -16 - 96

f(-1) = -112

If the equation is having as f(x) = -16x² + 96x, then I will completely agree with Ashley. But, in the question, Ashley is not having the above equation. So, even though the answer was -112, the solution was still incomplete.

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The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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Answer:

please see the analysis

Step-by-step explanation:

Solution:

the Integer between \(-3So \(Z=-2 , -1 ,\)

So \(P=\left\{-2\middle|-1\right\}\) {write all the value of Z}

Answer:

It is going to be a dashed line and shaded above the line

x intercept- (-2.4,0) y intercept- (0,-4)

Step-by-step explanation:

Hope that helped :)

Answer:

nfDIIIIIIIIII

Step-by-step explanation:

There will be 6.11 acres in a piece of property measuring 620' x 430'

To calculate the number of acres in a piece of property, you need to convert the measurements from feet to acres.

1 acre is equal to 43,560 square feet.

Given that the property measures 620' x 430', you can calculate the area in square feet by multiplying the length by the width: 620' x 430' = 266,600 square feet.

To convert the area from square feet to acres, divide the square footage by 43,560: 266,600 square feet / 43,560 = 6.11 acres (rounded to two decimal places).

Therefore, the piece of property measures approximately 6.11 acres.

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A; The distance between the starting point to Obstacle 2 is  13 meters

B; There are 10 meters around one lap of course.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Part A;

Starting point: (-12, 5); Obstacle 2: (0, 0)

(x₁, y₁) and (x₂, y₂)

Therefore,

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(0 - (-12))² + (0 - 5)²

d = √(12)² + (- 5)²

d = √144 + 25

d = √169

d = 13 meters

B. Starting point: (-12, 5); Obstacle 2: (0, 0);

Obstacle 1: (-12, 0)

(Starting Point + Obstacle 2)

Now,

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(0 - (-12))² + (0 - 5)²

d = √(12)² + (- 5)²

d = √144 + 25

d = √169

d = 13 meters

Therefore, (Starting Point + Obstacle 1)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-12 - (-12))² + (0 - 5)²

d = √(0)² + (-5)²

d = √25

d = 5 meters

(Obstacle 2 + Obstacle 1)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-12 - 0)² + (0 - 0)²

d = √(-12)² + (0)²

d = √144

d = 12 meters

Total = 12m + 5m + 13m = 30

30 ÷ 3 = 10 meters

we can conclude that 10 meters around one lap of course.

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Answer:

If when you say last you mean least common denominator it is 10

Step-by-step explanation:

9/10 and 6/10 have the same denominator.

Answer:

107.86 to 2 d.p.

Step-by-step explanation:

makes a triangle. 120 feet is the hypotenuse.

we want to find the opposite so we will use sine.

sin(x) = opp/hyp which means opp = sin(x)hyp.

opp = sin(64)120

opp = 107.86 to 2d.p.

Answer:

a.

Step-by-step explanation:

if u cover up one of them then u have 2 left

Answer:

2

Step-by-step explanation:

easyyyyy

To find the value of j - i, we need to determine the relationship between the surface areas (An) and volumes (Vn) of the unit ball in Rn for different positive integers n.

For the unit ball in Rn, the formula for surface area (An) and volume (Vn) are given by:

An = (2 * π^(n/2)) / Γ(n/2)

Vn = (π^(n/2)) / Γ((n/2) + 1)

where Γ denotes the gamma function.

To find the value of j - i, we need to identify the positive integers i and j such that Ai > Ak for all k not equal to i, and Vj > Vk for all k not equal to j.

First, let's analyze the relationship between An and Vn. By comparing the formulas, we can see that:

An / Vn = [(2 * π^(n/2)) / Γ(n/2)] / [(π^(n/2)) / Γ((n/2) + 1)]

      = 2 / [n * (n-1)]

From this equation, we can deduce that An / Vn > 1 if and only if 2 > n * (n-1).

To find the positive integer i, we need to identify the highest positive integer n for which 2 > n * (n-1) holds true. We can observe that this condition is satisfied for n = 2. Therefore, i = 2.

Now, let's find the positive integer j. We need to identify the lowest positive integer n for which 2 > n * (n-1) does not hold true. We can observe that this condition is no longer satisfied for n = 3. Therefore, j = 3.

Finally, we can calculate j - i as follows:

j - i = 3 - 2 = 1

Therefore, j - i equals 1.

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The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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