.Successive customers visit a retail store. Each customer acts independent of others. The probability that a customer buys something is 0.8, so with 0.2 probability, the customer does not buy anything. We observe 5 customers at the store. Let X be the number among them who buy something from the store. Clearly X is a random variable, with possible values 0, 1, 2, 3, 4, or 5. What is the distribution of X? What is the mean of X? What is the standard deviation of X? What is the probability that X is 3 or more?

The correct answer is option (c) 2.06.  For every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets

The asset-to-debt ratio for Blaine and Lindsay McDonald can be calculated by dividing their total assets by their total debt. Using the given values, the calculation would be as follows:

Asset-to-debt ratio = Total assets / Total debt

                   = $346,000 / $168,000

The asset-to-debt ratio is a financial metric that provides insight into the financial health and leverage of an individual, company, or entity. It measures the proportion of assets to debt and is used to assess the ability to meet financial obligations and the level of risk associated with the amount of debt.

In this case, Blaine and Lindsay McDonald have total assets valued at $346,000 and total debt of $168,000. By dividing the total assets by the total debt, we obtain the asset-to-debt ratio of approximately 2.06. This means that for every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets. A higher asset-to-debt ratio generally indicates a stronger financial position and lower risk, as there are more assets available to cover the debt obligations.

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Given: y" + 10xy = 0y1 = 1 + a3x³ + a1x² +...y2 = x + b1x¹ + b7x² +...

To find: First few coefficients of y1 and y2.Linearly independent solutions.

The given differential equation is: y" + 10xy = 0

We need to find the first few coefficients of y1 and y2.

So we need to differentiate y1 and y2 one time to find y'1 and y'2 respectively.

Then we need to differentiate y'1 and y'2 one more time to find y''1 and y''2 respectively.

Differentiate y1 once: y1 = 1 + a3x³ + a1x² +...y'1 = 3a3x² + 2a1x¹ +...

Differentiate y1 once more: y1 = 1 + a3x³ + a1x² +...y'1 = 3a3x² + 2a1x¹ +...y''1 = 6a3x + 2a1

Differentiate y2 once: y2 = x + b1x¹ + b7x² +...y'2 = 1 + b1x¹ + 2b7x¹ +...

Differentiate y2 once more: y2 = x + b1x¹ + b7x² +...y'2 = 1 + b1x¹ + 2b7x¹ +...y''2 = 2b7

So the given differential equation becomes: y''1 + 10xy1 = 0[6a3x + 2a1] + [10x][1 + a3x³ + a1x² +...]

= 0[6a3x + 2a1] + [10x] + [10a3x⁴] + [10a1x³] +...

= 0(6a3 + 10a3)x⁴ + (2a1 + 10)x² + ...

= 0(6a3 + 10a3)x⁴ + (2a1 + 10)x² = 0

Comparing coefficients, we get: 6a3 + 10a3 = 0 => a3 = 0a1 + 5 = 0 => a1 = -5b4 = 0b7 = 0

Thus, y1 = 1 - 5x² and y2 = x are two linearly independent solutions of the given differential equation.

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Answer:

$1.50/bar

Step-by-step explanation:

The constant of proportionality is $1.50/bar:  each bar costs $1.50.

Answer:

Step-by-step explanation:

Step-by-step explanation:

672 divides by 8

=8.375

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

λn = (nπ)^2 - 1, and the corresponding eigenfunction is y_n(x) = B sin(nπ x).

The general solution of the differential equation is of the form

y(x) = A sin(√(λ+1) x) + B cos(√(λ+1) x).

Applying the boundary condition y'(0) = 0, we have:

y'(x) = A√(λ+1) cos(√(λ+1) x) - B√(λ+1) sin(√(λ+1) x)

y'(0) = A√(λ+1) cos(0) - B√(λ+1) sin(0) = 0

Here  A = 0.

Applying  the boundary condition y'(1) = 0, we have:

y'(x) = - B√(λ+1) sin(√(λ+1) x)

y'(1) = - B√(λ+1) sin(√(λ+1)) = 0

Which means that √(λ+1) = nπ for n = 1, 2, 3, ...

In conclusiuon,  λn = (nπ)^2 - 1, and the corresponding eigenfunction is y_n(x) = B sin(nπ x).

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The particle is at rest when its velocity vector is zero. To find the values of t for which the particle is at rest, we need to determine when both the x-component and the y-component of the velocity vector are equal to zero.

The values of t that satisfy this condition are t = -1, 0, and 2. Therefore, the particle is at rest at these three values of t.

To determine when the particle is at rest, we need to find the values of t for which both the x- and y-components of the velocity vector are zero. The velocity vector is obtained by taking the derivatives of x and y with respect to t.

The x-component of the velocity is given by dx/dt = 3t^2 - 6t, and the y-component of the velocity is given by dy/dt = 6t^2 - 6t - 12.

Setting dx/dt = 0, we get 3t^2 - 6t = 0, which can be factored as 3t(t - 2) = 0. This gives us t = 0 and t = 2 as solutions.

Setting dy/dt = 0, we get 6t^2 - 6t - 12 = 0, which can be simplified as t^2 - t - 2 = 0. This can be factored as (t - 2)(t + 1) = 0, giving us t = -1 and t = 2 as solutions.

Therefore, the particle is at rest when t = -1, 0, and 2. Hence, the correct answer is option B) -1, 0, and 2 only.

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The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

Given that:

2Ax = 0.08

Ax = 0.2

A fully discrete whole life insurance issued to (x) is 1000.

Firstly we have to find out the value of variance S.

Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2

Variance S = (1000)^2 * [0.08 -  0.2^2]/(1- 0.2)^2

Variance S = (1000)^2 * [0.04]/.64

Variance S = (1000)^2 * .0625

Variance S = 62500

Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)

Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)

Standard deviation = 1000 * 0.2/0.8

Standard deviation = 1000 * 1/4 = 250

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

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Answer:

F=19

Step-by-step explanation:

Answer:

10%

Step-by-step explanation

200 x 0.1 = 20

200 - 20 = 180

Answer:

Manuel también está en la clase de ciencias del Sr. Whittaker. Observó que el nivel del agua subió 1.8 milímetros por año, lo que coincide con la tendencia anual promedio. esto ocurrió durante 2,2 años. Explique cómo determinar la variación total en el nivel del agua. ¿Cómo puedes comprobar tu respuesta?

Step-by-step explanatio: No enendit  

Answer:

Step-by-step explanation:

the ratio of 1.8 millimeters / 1 year has to be equivalent with

the ratio of ? millimeters / 2.2 years

? = 1.8*2.2/1  = 3.96

the total variation in water level is 3.96 millimeters per 2.2 years

to check calculate the average annual trend

(1.8 + 3.96 ) millimeters / ( 1+ 2.2) years = 5.76 / 3.2 = 1.8 millimeters annually

Answer:

18

Step-by-step explanation:

24 - (3 * 2)

After solving the quadratic equation, the sum of the lengths of the legs is 11 + (2 x 11 + 4) = 11 + 26 = 37 units.

Let's assume that one leg of the right triangle is x units. According to the problem, the other leg is 4 more than twice the length of x, which can be represented as 2x + 4 units.

Using the Pythagorean theorem, we can set up the equation:

\(x^2 + (2x + 4)^2 = 26^2\)

Expanding and simplifying the equation:

\(x^2 + 4x^2 + 16x + 16 = 676\)

\(5x^2 + 16x - 660 = 0\)

We can now solve this quadratic equation to find the value of x. By summing the lengths of the legs (x + 2x + 4), we can determine the final answer.

After solving the quadratic equation, we find two possible solutions: x = 11 and x = -12. Since the lengths of the sides cannot be negative, we consider x = 11 as the valid solution.

Therefore, the sum of the lengths of the legs is 11 + (2 x 11 + 4) = 11 + 26 = 37 units.

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Answer: C. (5, -10)

Step-by-step explanation:

When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.

The new point will be:

(A*x, A*y)

in this case, the point is (3, -6) and the scale factor is (5/3)

Then the new point will be:

(3*(5/3), -6*(5/3)) = (5, -10)

Answer:

s = - 12.8

Step-by-step explanation:

Given

\(\frac{s}{4}\) = - 3.2 ( multiply both sides by 4 to clear the fraction )

s = 4 × - 3.2 = - 12.8

Answer:

s = -12.8

Step-by-step explanation:

1. First we need to simplify both sides of the equation.

1/4s = -3.2

2. Now we need to multiply both sides by 4.

4 × ( 1/4s ) = ( 4 ) × ( −3.2 )

s = −12.8

The residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.

The measure that indicates how precise a prediction of y is based on x or how inaccurate the prediction might be is called the residual standard error (RSE).

RSE is a measure of the variation or dispersion of the errors (or residuals) in a regression model. It is calculated by taking the square root of the sum of the squared residuals divided by the degrees of freedom.

The RSE provides an estimate of the standard deviation of the errors, and it is expressed in the same units as the response variable y.

In other words, the RSE measures the average distance that the observed values deviate from the predicted values in the regression model.

A smaller RSE indicates that the model is better at predicting the response variable, while a larger RSE indicates that the model has higher prediction error and may not be as accurate.

In summary, the residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.

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The measure that indicates how precise a prediction of y is based on x, or conversely, how inaccurate the prediction might be, is called the residual standard error (RSE). The RSE is a measure of the average distance that the observed values fall from the predicted values, and it is typically expressed in the same units as the response variable (y). A smaller RSE indicates a better fit of the model to the data, and a larger RSE indicates a poorer fit.

Step-by-step explanation:

Welll.... there are EIGHT of them that total 1080

1080 / 8 = 135 degrees each

Solution

If Candace walk the sideways

If Candace walks through the park

The distance or meters Candace saw when he walks through the park is

Therefore, the answer is 15

.99379> .01 data are strong enough, at the 1 percent level of significance, to establish the claim of the toothpaste advertisement.

H0: μ= 3.05

Let us create hypotheses as

Population mean and std deviation are given here

Sample size n = 2500

The sample mean = 3.05

Ha: μ> 3 (one-tailed test)

z= (3.05-3)/1/√2500= 0.05 x 50 = 2.5

Level of significance = 1%

For a one-tailed test at a 1% significance level Z critical = .99379

P value (consulting a z table) is .99379.

Since .99379> .01 we can reject the null hypothesis and conclude that the toothpaste does reduce the number of cavities.

However, a reduction of .01 cavities a year (1 in 20 years) is probably not enough to compel people to switch. This is an example of a difference that is statistically significant, but probably not practically significant.

These data are strong enough, at the 1 percent level of significance, to establish the claim of the toothpaste advertisement.

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There is an 8.125 chance you can get the correct number , If you keep getting 800 every time due to the random probability , For when you divide it as 6500 ÷ 800 = 8.125

Thanks , Please mark me brainliest

From TyrantMC

To develop a theory on the relationship between birth week and movie preference, the next steps would be to:

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Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

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

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

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

Part (c)

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

Answer:

Answer is 690 every month

Step-by-step explanation:

The total cost is $23,500

Scholarship:8200$

2nd scholarship:7400$

Grandparents: 1000$

23,500-8,200-7400-1000=6900÷10=690

He will have to save up 690 every month for 10 months

Answer:

16

Step-by-step explanation:

4^2

This means the base of 4 multiply by itself 2 times

4*4

16

Answer:

above sea level

Step-by-step explanation:

P(0 received correctly) = P(0 sent) × P(0 received correctly | 0 sent)= \((2/3) × 0.8= 0.5333\) (rounded to 1 decimal place)Thus, the probability that a 0 is received is 0.5333 (rounded to 1 decimal place).

0.5333

A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 1) is 0.2. When a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.The probability that a 0 is received correctly is given in the problem as 0.8, and the probability that a 0 is sent is 2/3. Therefore, the probability that a 0 is received correctly

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Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

A translation is a congruent transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector.

A translation is a type of congruent transformation in geometry that involves shifting an object or shape along a specific vector.

In a translation, every point and its corresponding image are connected by a segment, which has the same length as the vector and is parallel to the vector. The term you are looking for to fill the blank is "image."

During a translation, the object or shape maintains its size, shape, and orientation, ensuring that it remains congruent to its original form. This transformation moves the object without changing any of its properties, except for its position in the coordinate plane. Since the segment joining each point and its image is parallel to the vector and has the same length, this ensures that the entire shape is shifted uniformly along the vector's direction.

In summary, a translation is a congruent transformation that shifts an object or shape along a vector, preserving its size, shape, and orientation. The segments connecting each point and its image have the same length as the vector and are parallel to it, ensuring a uniform shift in the object's position.

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the 2nd graph shows the  function f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2.

A straight line is a geometric figure that extends infinitely in both directions and has the property that any two points on the line can be connected by a straight segment that lies entirely on the line.

Given function

f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2

f(x) = (4x² - 4x - 8) / (2x + 2)

We can simplify this expression by factoring out a 4 from the numerator and a 2 from the denominator:

f(x) = (4(x²- x - 2)) / (2(x + 1))

We can further simplify by factoring the quadratic in the numerator:

f(x) = (4(x - 2)(x + 1)) / (2(x + 1))

Simplifying:

f(x) = 2(x - 2)

Putting x=0,

f(x)=-4

Putting x=2

f(x)=0

Putting x=1

f(x)=-2

the 2ndgraph shows the   straight line passing through (0.-4) and (2,0) and (1,-2)

hence, the 2nd graph shows the   function f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2.

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