A rectangle garden measuring 13 m x 50 m it’s a have a gravel pathway of constant with built all around it. There is enough gravel to cover 80 meters. Answer and equality that represents all possible with (w) in meters of the pathway?

The calculated expectation of X is 0.1

From the question, we have the following parameters that can be used in our computation:

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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Answer:

1) For 3 tickets, the cost is $12

2) For 5 tickets, the cost is $20

3) $28 can purchase 7 tickets

4) For 10 tickets, the cost is $40

Step-by-step explanation:

1) For 3 tickets

8 = 2

x = 3

(8 ÷ x) = (2 ÷ 3)

Cross multiply,

2x = 8 x 3

2x = 24

x = 24 ÷ 2

x = $12

Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.

I hope this helps.

Answer:

The answer is 9.4 units.

Answer:

5.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.3

Answer: y = 3/8 x    + 17/8

Step-by-step explanation:

Point-Slope Form: y - y₁ = m (x- x₁)                  Slope: Change in y/Change in x

(-3,1) and (5,4) are the coordinates given.                  4 - 1 / 5 - ( - 3)

Slope Intercept Form: y =mx + b                                 3 / 8 ( - ) ( - ) = +

Write in point slope:                      | Using (-3, 1) |

y - 1 = 3/8 ( x - ( -3 ) )

y - 1 = 3/8 ( x + 3)

y - 1 = 3/8 x   + 9/8

y - 8/8 = 3/8 x   + 9/8

y = 3/8 x   + 17/8

The solutions of the given equation are 2 or -2

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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Therefore, the correct system of equations that models this situation is:

a = 1.5d

a = d + 4

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, numbers, and mathematical symbols such as + (addition), - (subtraction), * (multiplication), / (division), and = (equal). Equations are used to solve problems and find unknown values of variables by manipulating the expressions on both sides of the equation. For example, the equation "x + 5 = 9" shows that the sum of x and 5 is equal to 9. By subtracting 5 from both sides of the equation, we can solve for x and find that x = 4.

by the question.

Let's start by setting up two equations, one for each piece of information given in the problem:

1.5d = a (Ashanti has been acting for 1.5 times as long as Diana has)

a = d + 4 (Ashanti has been acting for 4 years longer than Diana has)

We can then simplify the second equation by substituting the first equation for a:

1.5d = d + 4

Now we can solve for d:

0.5d = 4

d = 8

We can then use the first equation to solve for a:

a = 1.5d = 1.5(8) = 12

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Answer:

x = 12

Step-by-step explanation:

For the middle size triangle

short leg = x

long leg = (25 - 9) = 16

ratio = x/16

For the small triangle

short leg = 9

long leg = x

ratio = 9/x

Similar triangles are proportional so

Set the ratios equal

x/16 = 9/x

Cross multiply

x² = 144

Take the square root of both sides

x = 12

Answer: i think

Step-by-step explanation: -9.8 m/s^2 is not the force of gravity, it is the free fall acceleration due to gravity on Earth. According to Newton's second law, F = ma. Which means that Weight = mass * gravitational

Answer: w=1.6

Step-by-step explanation:

3w/3 = 4.8/3

w=1.6

Answer:

It's just a variable. It doesn't really mean anything.The letter "w" is often used in algebra to mean a value that is not yet known.

Step-by-step explanation:

The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.

Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.

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(a) The equation y' = y² sin(x) can be written in differential form as M(x) dx + N(y) dy = 0 by dividing both sides by y²: dy/dx = sin(x)/y².

(b) Integrating both sides gives us the implicit general solution: y³/3 = -cos(x) + C.

(c) Taking the cube root of both sides gives the solution: y = (3C - cos(x))^(1/3).

(a) To show that the equation is separable, we start with the differential form notation:

Divide both sides of the equation y' = y² sin(x) by y²:

dy/dx = sin(x)/y²

Now we can write the equation in the differential form notation:

y²dy = sin(x)dx

This form is separable because it has only y and x terms on different sides.

(b) To find the implicit general solution, we integrate both sides:

∫y²dy = ∫sin(x)dx

Integrating both sides gives us:

y³/3 = -cos(x) + C

where C is the constant of integration. Thus, the implicit general solution is:

y³ = 3C - cos(x)

(c) To solve for y, we take the cube root of both sides:

y = (3C - cos(x))^(1/3)

Therefore, the solution is:

y = (-cos(x) + 3C)^(1/3)

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Answer:

it's a philosophy

Step-by-step explanation:

Mathematics can't make you become great in life

it's just a philosophy for you to understand

The constant of spring of the spring is 19600 N/m.

To find the spring constant of the spring,

We know the formula,

k = (mg) / x

where,

k = spring constant

m = mass of the safe = 1200 kg

g = acceleration due to gravity = 9.8 m/s²
x = compression of the spring = 60 cm or 0.6 m

Now calculate the weight of the safe,

⇒ mg = (1200 kg)(9.8 m/s²)

          = 11760 N

Substitute the values into the formula,

k = (mg) / x

  = (11760 N) / (0.6 m)

  = 19600 N/m

Therefore, the spring constant of the spring is 19600 N/m.

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The complete question is:

A 1200kg safe is 2.5m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 48cm. What is the spring constant of the spring?

Answer:

200

Step-by-step explanation:

So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400

Answer:

25

Step-by-step explanation:

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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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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The area enclosed by the curve, x - t² - 3t, y - vt and the y-axis is (9/2)v - 13.5 square units.

The area enclosed by the curve, x - t² - 3t, y - vt and the y-axis is obtained as follows:

1. The curve x = t² - 3t, y = vt intersects the y-axis when x = 0, which occurs when t = 0 and 3.

Therefore, the value of t lies between 0 and 3. Thus, the limits of integration are 0 and 3.S

2. Using A = ∫[a, b] ydx or A = ∫[c, d] xdy, where a, b, c, and d are the limits of integration, we have A = ∫[0, 3] xt - (t² - 3t)dv

3. Substituting x = t² - 3t and y = vt in the above equation, we have: A = ∫[0, 3] (t² - 3t)vt - (t² - 3t)dt

4. A = ∫[0, 3] (v - 1)(t² - 3t)dt

5. A = ∫[0, 3] v(t² - 3t)dt - ∫[0, 3] (t² - 3t)dt

6. Using integration by substitution, let u = t² - 3t. Then, du/dt = 2t - 3dt = 0.5(2t - 3)dt.

7. ∫v(u) du = v(u) * du/dt * dt. Thus, A = ∫[0, 3] v(2t - 3) (0.5dt) - ∫[0, 3] u(0.5dt)

8. Therefore, A = 0.5∫[0, 3] v(2t - 3)dt - 0.5∫[0, 3] udt

9. A = 0.5[(2v/3)(3³ - 0³) - 3v(3² - 0²)] - 0.5[(3² - 0²)(3 - 0)]

10. Simplifying, we get A = (9/2)v - 13.5 square units.

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The inequality that represents the possible rates is x - 10 ≥ 24.

The inequality that represents the possible rates is x - 10 ≥ 24.
To find the possible rates, we need to consider the average speed of the boat for the entire trip. The first leg of the trip is traveling at a rate of x mph. On the return route, the boat travels against the current, which decreases its rate by 10 mph.
To calculate the average speed, we can add the two rates (x mph and x - 10 mph) and divide by 2.
(x + (x - 10))/2 ≥ 24
Simplifying the equation, we get:
(2x - 10)/2 ≥ 24
2x - 10 ≥ 48
Adding 10 to both sides, we get:
2x ≥ 58
Dividing by 2, we find:
x ≥ 29
Therefore, the inequality that represents the possible rates is x - 10 ≥ 24.

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The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis (p0) = 0.2

Sample size (n) = 75

Sample proportion (sp) = 24/75 = 0.32

Significance level = 0.01

\(H_{o}\) : p = 0.2

\(H_{a}\) : p ≠ 0.2

Test statistic percentage = ( \(sp\) - \(p_{o}\) ) / \(\sqrt{\frac{(p_{o})(1-p_{o} )}{n} }\)  

Left critical \(z_{0.01}\) = -2.5758

Right critical \(z_{0.01}\) = 2.5758

Calculated statistic = \(\frac{0.32-0.2}{\sqrt{\frac{(0.32)(1-0.32)}{75} } }\) = 2.2278

Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.

Therefore,

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

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The minimum coefficient of friction required to maintain pure rolling motion for the disk is 1.

Any coefficient of friction greater than 1 would also suffice. However, it is important to note that this assumes that the disk is not slipping at all. In reality, there will likely be some small amount of slipping, and the coefficient of friction required to maintain the motion will be slightly less than 1.

To maintain pure rolling motion, the tangential speed of the disk at the point of contact with the ground must be equal to the linear speed of the center of mass. This condition can be expressed as:

v = ωr

where v is the linear speed of the center of mass, ω is the angular speed of the disk, and r is the radius of the disk.

If the disk is rolling without slipping, the speed of the point of contact with the ground is zero. Therefore, the minimum coefficient of friction required to maintain pure rolling motion can be found by equating the magnitudes of the gravitational force and the frictional force:

mg = f

where m is the mass of the disk, g is the acceleration due to gravity, and f is the frictional force.

The frictional force can be expressed as:

f = μN

where μ is the coefficient of friction and N is the normal force.

The normal force can be found from the equation of motion in the vertical direction:

N - mg = 0

Therefore, N = mg.

Substituting these expressions for f and N, we get:

μmg = mg

Simplifying, we get:

μ = 1

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given functions

STEP 2: Describe the transformations

Translation to the left/right: Horizontal translation refers to the movement toward the left or right of the graph of a function by the given units. The shape of the function remains the same. It is also known as the movement/shifting of the graph along the x-axis.

To shift, move, or translate horizontally, replace y = f(x) with y = f(x + c) (left by c) or y = f(x - c) (right by c).

Translations up/down: The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down.

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

STEP 3: Define the first transformation

STEP 4: Define the vertical transformation

STEP 5: Define the final transformation

Hence, the transformations of f(x) to g(x) are:

Translated 2 units left

Translated 3 units down

Reflected over the x-axis (yes)

when you are interrogating the external validity of a sample, option(b). how was the sample collected? is the most important question to ask.

What is External validity?

The concept of external validity is related to the concept of generalization. It's imperative to keep that in mind. It is important to remember that validity refers to the approximate truth of a proposition, an inference, or a conclusion. In other words, external validity refers to the relative truth of generalizations based on generalizations. The external validity of your study is the degree to which the conclusions are applicable to other people, places, and times.

An external validity threat is an explanation of how a generalization could be flawed. A study you conducted in a particular place, with certain types of people, at a particular time, can be generalized to another context (for instance, another place, with slightly different people, at a slightly different time). External validity can be compromised in three ways: people, places, and times.

Question

When you are interrogating the external validity of a sample, which is the most important question to ask?

a. how many people are in the sample?

b. how was the sample collected?

c. how were the participants measured?

d. how many people are in the population?

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Answer: 1.5

Step-by-step explanation:

Answer:

no because the first one is already 6 gone and the question says twice of the first one so she didn't have enough

Answer:

Bring me with you please

Step-by-step explanation:

Answer:

To solve this problem, we will use the fact that sin (90 - θ) = cos θ for any angle θ. Therefore, we can rewrite the equation as:

sin (4x + 3)° = sin (90 - (8x + 10))°

Using the identity sin (90 - θ) = cos θ, we get:

sin (4x + 3)° = cos (8x + 10)°

sin (4x + 3)° = sin (80 - 8x)°

Now we have two cases to consider:

Case 1: 4x + 3 = 80 - 8x

Solving for x, we get:

12x = 77

x = 6.42

Case 2: 4x + 3 = 180 - (80 - 8x)

Solving for x, we get:

12x = 257

x = 21.42

Therefore, the solutions are x = 6.42 and x = 21.42.

Answer:

8p - 9

Step-by-step explanation:

→ Expand brackets

6p - 15 + 2p + 6

→ Collect like terms

8p - 9