You are interested in the average population size of cities in the US. You randomly sample 15 cities from the US Census data. Identify the population, parameter, sample, statistic, variable and observational unit.

Answer:

Step-by-step explanation:

A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.

Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.

However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.

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Answer: 25

Step-by-step explanation:

28+97=125

125/4= 31.25

25/4=6.25

31.25-6.25=25

To find the values of trigonometric functions for 2θ, we'll need to use the double-angle identities.

Given that sin θ = 2/5 and θ lies in quadrant II, we can determine the values of the other trigonometric functions for θ using the Pythagorean identity: sin^2 θ + cos^2 θ = 1.

Let's start by finding cos θ:

sin θ = 2/5

cos^2 θ = 1 - sin^2 θ

cos^2 θ = 1 - (2/5)^2

cos^2 θ = 1 - 4/25

cos^2 θ = 21/25

Since θ lies in quadrant II, cos θ is negative:

cos θ = -√(21/25)

cos θ = -√21/5

Now, we can use the double-angle identities:

a. sin 2θ = 2sin θ cos θ

  sin 2θ = 2 * (2/5) * (-√21/5)

  sin 2θ = -4√21/25

b. cos 2θ = cos^2 θ - sin^2 θ

  cos 2θ = (21/25) - (4/25)

  cos 2θ = 17/25

c. tan 2θ = (2tan θ) / (1 - tan^2 θ)

  tan θ = sin θ / cos θ

  tan θ = (2/5) / (-√21/5)

  tan θ = -2√21/21

  tan 2θ = (2 * (-2√21/21)) / (1 - (-2√21/21)^2)

  tan 2θ = (-4√21/21) / (1 - (4(21)/21))

  tan 2θ = (-4√21/21) / (1 - 4)

  tan 2θ = (-4√21/21) / (-3)

  tan 2θ = 4√21/63

Therefore, the exact values for the given trigonometric functions are:

a. sin 2θ = -4√21/25

b. cos 2θ = 17/25

c. tan 2θ = 4√21/63

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Answer:

La fórmula para el área total de superficie de un cono recto es T. S. A. = π rl + π r 2 . Ejemplo 2: Encuentre el área lateral de superficie de un cono recto si el radio es de 6 pulgadas y la altura de inclinación es de 10 pulgadas.

Answer:

La fórmula para el área total de superficie de un cono recto es TSA = π rl + π r

2. Ejemplo

2: encuentre el área lateral de superficie de un cono recto si el radio es de 6 pulgadas y la altura de inclinación es de 10 pulgadas.

Step-by-step explanation:

(a) The probability that all 4 of your answers are incorrect is 0.4823.

The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).

(b) The probability that all 4 of your answers are correct is 0.0008.

The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).

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Answer

YES

Step by step Explanation

Answer:

There is not information given to assume the triangles are congruent.

Step-by-step explanation:

You can tell if two triangles are congruent by any of the following rules:

Three sides are congruent (SSS),

Two angles and a side in between are congruent (ASA)

Two sides and an angle in between are congruent (SAS)

Two angles and a side connected to one of those angles are congruent (AAS)

Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)

In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.

Answer:

\(y=\frac{1}{2}(x+6)^2-1\)

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

\(y=a(x-h)^2+k\)

Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.

The vertex of the required equation is located at (-6,-1)

The parabola passes through (-12,17)

Substituting the coordinates of the vertex, the equation of the function is:

\(y=a(x+6)^2-1\)

The value of a will be determined by using the given point:

\(17=a(-12+6)^2-1\)

Operating:

\(17=a(36)-1\)

\(36a=18\Rightarrow a=18/36=1/2\)

Solving:

\(a=1/2\)

The equation of the parabola is:

\(\boxed{y=\frac{1}{2}(x+6)^2-1}\)

Answer:

The correct interpretation of the p-value in this scenario is "if there is a linear relationship between the amount of mercury in a lake and the surface area of the lake, the probability of observing a test statistic as extreme as 2.086 or more extreme is 0.05." This means that if there is actually no linear relationship between the amount of mercury in a lake and the surface area of the lake, there is a 5% chance of obtaining a test statistic as extreme as 2.086 or more extreme purely by chance. Therefore, a p-value of 0.05 is commonly used as a threshold to reject the null hypothesis and conclude that there is evidence of a linear relationship between the two variables.

Step-by-step explanation:

Answer:150

Step-by-step explanation:

The mass of 348mL serving soup is 216 grams

The serving is proportional; so, we have:

\(\mathbf{290mL = 180g}\)

\(\mathbf{348mL = x}\)

Where x represents the mass of 348mL serving soup.

Cross multiply.

So, we have:

\(\mathbf{x \times 290mL = 180g \times 348mL}\)

Cancel out common units

\(\mathbf{x \times 290 = 180g \times 348}\)

\(\mathbf{x \times 290 = 62640g}\)

Divide both sides by 290

\(\mathbf{x = 216g}\)

Hence, the mass of 348mL serving soup is 216 grams

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Answer: 6

Step-by-step explanation:

The total cost of the plywood Mr. Richardson needs for the doghouse is $80. The correct option is D.

To calculate the total cost of the plywood, we first need to find the total surface area of the rectangular prism-shaped doghouse, subtract the surface area of the opening, and then multiply it by the cost per square foot. Let's assume the dimensions of the doghouse are length (l), width (w), and height (h), and the opening's dimensions are length (l1) and height (h1).

Calculation steps:
1. Surface area of the doghouse: 2lw + 2lh + 2wh
2. Surface area of the opening: l1h1
3. Subtract the opening's area: (2lw + 2lh + 2wh) - l1h1
4. Multiply by the cost per square foot: [ (2lw + 2lh + 2wh) - l1h1 ] * $2

Plug in the given dimensions for the doghouse and the opening to calculate the total cost, which comes out to be $80 (Option D).

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Answer:

Newton

Step-by-step explanation:

Answer: I believe its newton, I may be wrong though

Step-by-step explanation:

have a good day :)

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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a) About 36.32% of people's exam scores would be expected to be above 84. b) About 29.81% of people's exam scores would be expected to be below 81. c) About 68.44% of people's exam scores would be expected to be between 97 and 132.

To find the percentage of people's exam scores based on the Normal model N(90, 17), we can use the properties of the normal distribution.

a) To find the percentage of people's exam scores that would be expected to be above 84, we need to calculate the area under the normal curve to the right of 84.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to 84 in the N(0, 1) distribution. The z-score is calculated as:

z = (x - μ) / σ

Where x is the value of interest, μ is the mean, and σ is the standard deviation.

For the N(90, 17) distribution, the z-score corresponding to 84 is:

z = (84 - 90) / 17 = -0.35

Using the standard normal distribution table or a calculator, we can find the area to the right of -0.35, which represents the percentage of people's exam scores that would be expected to be above 84. The result is approximately 0.3632 or 36.32%.

Therefore, about 36.32% of people's exam scores would be expected to be above 84.

b) To find the percentage of people's exam scores that would be expected to be below 81, we need to calculate the area under the normal curve to the left of 81.

Using the same process as above, we can find the z-score corresponding to 81 in the N(90, 17) distribution:

z = (81 - 90) / 17 = -0.53

Using the standard normal distribution table or a calculator, we can find the area to the left of -0.53, which represents the percentage of people's exam scores that would be expected to be below 81. The result is approximately 0.2981 or 29.81%.

Therefore, about 29.81% of people's exam scores would be expected to be below 81.

c) To find the percentage of people's exam scores that would be expected to be between 97 and 132, we need to calculate the area under the normal curve between the corresponding z-scores.

First, we calculate the z-scores for 97 and 132:

z1 = (97 - 90) / 17 = 0.41

z2 = (132 - 90) / 17 = 2.47

Using the standard normal distribution table or a calculator, we can find the area to the left of 2.47 and subtract the area to the left of 0.41 to find the percentage of people's exam scores between 97 and 132. The result is approximately 0.6844 or 68.44%.

Therefore, about 68.44% of people's exam scores would be expected to be between 97 and 132.

In summary:

a) About 36.32% of people's exam scores would be expected to be above 84.

b) About 29.81% of people's exam scores would be expected to be below 81.

c) About 68.44% of people's exam scores would be expected to be between 97 and 132.

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Answer:

see below

Step-by-step explanation:

Susan

4lbs of coffee

2lbs of nuts

Tom

2lbs of coffee

4lbs of nuts

6 hrs per day.

if only coffee x = (4+2)*6=36lbs

if only nuts y = (4+2)*6=36lbs

Step 1: Find the first way to share 6/6 into 3

The first way could be to share 6/6 equally into 3 parts.

That is,

Therefore, the model is

In the diagram, we have

Step 2: Find the second way to share 6/6 into 3

The second way is to share 6/6 in the ratio 1:2:3. That is the model is

In diagram, we have

Therefore, the models are

6/6 = 2/6 + 2/6 + 2/6

and

6/6 = 1/6 + 2/6 + 3/6

Answer:

20 year and 1.5 months

Step-by-step explanation:

To create indicator variables for the 'history' column with the base case as 'none', we can create three variables: 'low', 'medium', and 'high'.

We assign the value of 1 to the corresponding variable if the 'history' column has a positive case (low, medium, or high), and 0 if it has a negative case (none).

Here is an example of how the indicator variables can be created:

'low': Assign the value of 1 if the 'history' column has the value 'low', and 0 otherwise.

'medium': Assign the value of 1 if the 'history' column has the value 'medium', and 0 otherwise.

'high': Assign the value of 1 if the 'history' column has the value 'high', and 0 otherwise.

By creating these indicator variables, we can represent the 'history' column in a binary format that can be used for further analysis or modeling.

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Thus, standard error for this sample of tissue cells infected in a laboratory treatment is 5.33.

The standard error (SE) is a measure of how much the sample mean deviates from the population mean. It is calculated as the standard deviation of the sample divided by the square root of the sample size.

In this case, the sample size is 225, the standard deviation is 80, and the mean is 350. Therefore, the standard error can be calculated as follows:

SE = 80 / √(225)
SE = 80 / 15
SE = 5.33

The standard error for this sample of tissue cells infected in a laboratory treatment is 5.33. This means that the sample mean of 350 is likely to be within 5.33 units of the population mean.

The smaller the standard error, the more precise the estimate of the population mean. In this case, the standard error is relatively small compared to the standard deviation, which suggests that the sample mean is a relatively accurate estimate of the population mean.

However, it is important to note that the standard error only provides information about the precision of the estimate, not its accuracy. Other factors, such as sampling bias or measurement error, could still affect the accuracy of the estimate.

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Answer:

Step-by-step explanation:

1. find the slope (m)

m=y2-y1/x2-x1

m=6-3/-1-2

m=3/-3

m=-1

2. y-y1=m(x-x1)

y-3=-1(x-2)

y-3=-1x+2

y=-1x+2+3

y=-1x+5

Step-by-step explanation:

thats correct so put that in

Answer:

y = 2x - 12

Step-by-step explanation:

(y-4)/(-4-4) = (x-8)/(4-8)

(y-4)/-8 = (x-8)/-4

y-4 = 2x - 16

y = 2x - 16 + 4

y = 2x - 12

Given:

The sum of 85 + w is less than or equal to 6 multiplied by y.

To find:

The inequality for the given situation.

Solution:

We know that,

The sum of 85 and w means "85+w".

Less than or equal means "≤".

6 multiplied by y means "6y".

So, the inequality for the statement "the sum of 85 + w is less than or equal to 6 multiplied by y", is:

\(85+w\leq 6y\)

Therefore, the correct option is A.

The volume of the solid region is approximately 10.4109 cubic units.

To find the volume of the solid region lying below the surface z = f(x,y) and above the plane region R, we can use the formula:

V = ∬R f(x,y) dA

where dA is the area element in the xy-plane and the double integral is taken over the region R.

To evaluate this integral, we first need to perform a change of variables. Let u = x + y and v = x - y. Then the inverse transformations are x = (u + v)/2 and y = (u - v)/2. The Jacobian of this transformation is:

J = ∂(x,y) / ∂(u,v) = 1/2

Next, we need to express the surface z = f(x,y) in terms of u and v. Using the substitutions x = (u + v)/2 and y = (u - v)/2, we get:

f(x,y) = (x+y)ex-y = [(u+v)/2 + (u-v)/2]e(u-v)/2 = ueu/2

So the volume of the solid is:

V = ∬R f(x,y) dA

= ∬R ueu/2 dA

= ∫₂⁴ ∫₂⁶ (u/2)e^(u/2) du dv (using the limits of integration for R in terms of u and v)

= ∫₂⁶ [e^(u/2)u²/4] from 2 to 4 dv

= ∫₂⁴ [e^(u/2)u²/4] from u-2 to 6 du

= 16(e^3 - e^2)/3

Therefore, the volume of the solid region is approximately 10.4109 cubic units.

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The Laplace transform of the solution to the given initial value problem is Y(s) = (3πe^(-3s))/(s^2+9π^2), and the solution in the time domain is y(t) = (π/3)(1 - cos(3πt)) for 0 ≤ t < 3, and y(t) = (π/3)(e^(3-3t) - cos(3πt)) for t ≥ 3. The solution is piecewise-defined, with a continuous change in behavior at t = 3.



To find the Laplace transform of the solution, we apply the Laplace transform operator to the given differential equation. Using the properties of the Laplace transform, the Laplace transform of y''(t) is s^2Y(s) - sy(0) - y'(0), where Y(s) represents the Laplace transform of y(t). By substituting the initial conditions y(0) = 0 and y'(0) = 0, we have s^2Y(s) = 3π/s - 0 - 0. Solving for Y(s), we obtain Y(s) = (3πe^(-3s))/(s^2+9π^2).

To obtain the solution in the time domain, we use the inverse Laplace transform. By employing partial fraction decomposition and applying inverse Laplace transform techniques, we find y(t) = (π/3)(1 - cos(3πt)) for 0 ≤ t < 3, and y(t) = (π/3)(e^(3-3t) - cos(3πt)) for t ≥ 3. This solution is piecewise-defined, indicating that the behavior of the solution changes at t = 3.

At t = 3, there is a sudden change in the solution due to the presence of the delta function. Before t = 3, the solution follows a periodic oscillation, represented by (π/3)(1 - cos(3πt)). After t = 3, the solution starts to decay exponentially, given by (π/3)(e^(3-3t) - cos(3πt)). The graph of the solution is continuous but has a distinct change in slope at t = 3, reflecting the impact of the delta function and the subsequent decay of the system.

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Answer:

75

Step-by-step explanation:

Giving Q was not necessary because you aren't doing P(Q) or anything like that....

Anyways,

\(p(x) = x^2 + x +3\\\)

Since you're doing p(8), you would replace the x's with 8s.

\((8)^2 + (8) + 3 = 64 + 8 + 3 =75\)

So your final answer would be 75.