Between what 2 consecutive numbers does the square root of 15 fall?

1. 15
2. 4
3. 16
4. 3
5. 14
6. 2
7. 5

Let's recalll that:

• 1 mile per hour = 1.46667 feet per second

Therefore:

• 10 miles per hour = 1.46667 * 10 feet per second

• 10 miles per hour = 14.6667 feet per second, Khalil!

The Malthusian law for population growth states that the rate of population growth is proportional to the current population size.

Mathematically, we can express this as:

dP/dt = rP

where P is the population size, t is time, and r is the growth rate.

Assuming a constant growth rate, we can integrate this equation to get:

ln(P) = rt + C

where C is an integration constant. We can solve for C using the initial population estimate:

ln(1200) = r(1980) + C

C = ln(1200) - r(1980)

Substituting the values of C and P from the second estimate (P=7500 in 2008), we get:

ln(7500) = r(2008) + ln(1200) - r(1980)

Solving for r, we get:

r = [ln(7500) - ln(1200)] / (2008 - 1980) = 0.0496

Using this value of r, we can predict the alligator population in 2020, which is 12 years after the second estimate (2008). We have:

ln(P) = rt + ln(7500)

ln(P) = 0.0496(12) + ln(7500) = 9.058

P = e^9.058 = 8656

Therefore, the estimated alligator population in the region in the year 2020 is 8656.

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The correct answer is Option 'B'.

We are drawing cards without replacement,

So first card is a diamond  is 13/52 and

Second not a diamond is 39/51

51 because we have picked 1 card in the first draw.

so final answer is

(13/52) *(39/51) = 0.1912.

Therefore, the probability that the first card drawn is a diamond and the second card drawn is not a diamond is 0.1912.

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain occurrences. The degree to which something is likely to happen is essentially what probability means.

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Answer:

-10

Step-by-step explanation:

Answer: 3x

verry eazy just subtract and keep the x

Answer: 1 : 1.2

Step-by-step explanation: Simplify 10 : 12 : 1 : 1.2

A statistical analysis is internally valid if option B is correct, meaning that the statistical inferences about causal effects are valid for the population studied. Internal validity refers to the accuracy of conclusions drawn from a study, specifically focusing on causal relationships within the population being analyzed.

Statistical analysis is a method of examining data to identify patterns and trends, which can help researchers make informed decisions. Regression is a technique used to determine the relationship between two or more variables, where one variable (the dependent variable) is affected by one or more other variables (independent variables).

The population refers to the entire group of individuals or objects being studied. In order to have internal validity, the statistical analysis must accurately represent the population's characteristics and the causal relationships between variables.

R² (option A) is a measure of how well the regression model fits the data but doesn't necessarily imply internal validity. Option C, t-statistics, is related to hypothesis testing and helps determine if a relationship between variables is statistically significant. However, having all t-statistics greater than |1.96| doesn't guarantee internal validity.

Lastly, option D states that the population is small (less than 2,000) and can be observed. While having a smaller population might make it easier to gather data, this does not guarantee internal validity.

In summary, internal validity is achieved when the statistical inferences about causal effects are valid for the population studied (option B). It ensures that the conclusions drawn from a study are accurate and represent the true relationships within the population.

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Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

The method of critical regions is an alternative approach to hypothesis testing, used to validate a claim. This method is based on comparing the observed sample statistic to one or more critical values, predetermined by the desired significance level, that determine the rejection or acceptance of the null hypothesis.

To use this method, the researcher first establishes the critical regions, typically denoted by critical values or cutoff points. A decision to reject or fail to reject the null hypothesis is then made by comparing the observed statistic to the critical values. If the observed value is beyond one or more of the critical values, the null hypothesis is rejected. If the observed statistic falls within the critical regions, the null hypothesis is accepted.

The critical region method is sometimes used instead of the p-value method when the probability of a Type II error is more important than the probability of a Type I error. Additionally, this method can be used to compare multiple population means, whereas the p-value method is limited to comparing one population mean. Therefore, the critical region method can be used in addition to or instead of the p-value method, depending on the researcher's desired result.

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The mass of steam in the device is 3.011 kg. The pressure of the superheated steam after compression is 0.5 MPa. This is an irreversible process.

(a) Use the appropriate property table to determine the mass of steam in the device.

Given, Piston cylinder device initially contains = 1.777 m³

Pressure = 0.50 MPa

Temperature = 500C

Using the steam table to find the mass of the steam inside the piston cylinder device by referring to the steam tables.

Using steam tables, the values are: Entropy = 6.8018 kJ/kgK

Enthalpy = 3194.7 kJ/kg

Mass of steam in device = volume / specific volume = 1.777 m³ / 0.5901 m³/kg = 3.011 kg

Therefore, the mass of steam in the device is 3.011 kg.

(b) Sketch a pressure versus specific volume graph during the compression process.

(c) Determine the work done during the compression process.The formula to calculate work done during the compression process is given by,

W = P(V1 - V2)

Work done during the compression process = 0.5[1.777-0.3]×106 N/m2 = 782100 J

Hence, the work done during the compression process is 782100 J.(d) Determine the pressure of the superheated steam after compression.The pressure of the superheated steam after compression is 0.5 MPa.

(e) Suggest three factors that will make the process irreversible. The three factors that will make the process irreversible are: Friction: Friction produces entropy which is a measure of energy loss. In a piston-cylinder device, friction is caused by moving parts such as bearings, seals, and sliding pistons.Heat transfer through finite temperature difference: Whenever heat transfer occurs between two systems at different temperatures, the transfer is irreversible. This is because of entropy creation due to the temperature gradient. In a piston-cylinder device, this can occur through contact with hotter or colder surfaces.Unrestrained expansion: Whenever a gas expands into a vacuum, there is no work done, and entropy is generated. This is an irreversible process.

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Answer:

15mm x 10mm = 150mm

Step-by-step explanation:

Answer:

Hey dude! Im not sure how to figure out the angle on my own so try using math-way algebra it works most of the time!

sorry i cant help any more!

The solution to the given differential equation that satisfies the initial condition l(1) = -12 is:

l(t) = -1/[(k/2) ln^2(t) + 1/12]

To find the solution of the differential equation that satisfies the given initial condition dl/dt = kl^2 ln(t) with l(1) = -12, follow these steps:

1. Rewrite the given differential equation as dl/l^2 = k ln(t) dt.
2. Integrate both sides of the equation: ∫(1/l^2) dl = ∫k ln(t) dt.
3. Perform the integration: -1/l = (k/2) ln^2(t) + C, where C is the constant of integration.
4. Solve for l: l = -1/[(k/2) ln^2(t) + C].
5. Apply the initial condition l(1) = -12: -12 = -1/[(k/2) ln^2(1) + C].
6. Since ln(1) = 0, we get -12 = -1/C, and thus C = 1/12.
7. Substitute C back into the equation for l: l(t) = -1/[(k/2) ln^2(t) + 1/12].

Now you have the solution of the differential equation with the given initial condition.

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circumference of circle: 2πr              ("r" is the radius)

==========

Answer:

15.7 cm²

Step-by-step explanation:

Given:

\(\text{Radius of circle: 2.5 cm}\)

Formula:

\(\text{Circumference:} \ 2\pi r\)

Substitute the radius in the circumference formula:

\(\implies \text{Circumference:} \ 2\pi r\)

\(\implies \text{Circumference:} \ 2\pi (2.5)\)

Take π as 3.14 (Approx. value of π):

\(\implies \text{Circumference:} \ 2(3.14)(2.5)\)

Simplify the circumference:

\(\implies \text{Circumference:} \ (3.14)(5)\)

\(\implies \text{Circumference:} \ 15.7 \ \text{cm}^{2}\)

Answer:

conventions

Step-by-step explanation:

Answer:

Conventions

Step-by-step explanation:

Answer:

$936.94

Step-by-step explanation:

Remember, that because you paid $2,175 up front (down payment), you can borrow $2,175 less from the bank to purchase the car. So first step: Take new car price of $19,725.00 and multiply it by the sales tax percentage ($19,725 * 0.0475) to get $936.94 of tax.

Answer:

x is a variable

Step-by-step explanation:

what happens an squared plus B equals C and what I want to do is solve for a so again what we want to do is when we're taking solver a we want to isolate the variable get the variable by itself so the data that need to look at well what is happening on my variable a well you can see me as being multiplied by X and it's being added by B so I need to undo those but we got to make sure we undo them in a certain upper certain order which we call the reverse order of operations which is like the order of operations but the reverse method meaning I'm gonna undo addition or subtraction first so you can see that since my variable a is being added by B I need to undo that by subtracting B and I'll use my subtraction property of equality that's going to now subtract a 0 and then these C minus B are not like terms so I'm going to write ax is equal to C minus B now I need to solve for a so I need to look at and say alright my a is being x over X so the inverse operation of multiplying is dividing by X so therefore have a equals C minus B divided by X now sometimes you could say alright that's correct but we could also divide this X into both of these terms and I'm going to rewrite this in a different form I could say a equals C over X minus B over X alright so what I'm doing is are just dividing those through

hope this helps

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

Answer:

y^2-2y+3

Step-by-step explanation:

use synthetic division

-1| 1  -1  1  3

      -1  2 -3

   1  -2  3 (0)

  y^2 -2y +3  

Answer:

Yes, 7 x \(10^{-3}\) in standard form is 0.007mm

8 x \(10^{-5}\) in standard form is 0.00008 mm.  The mask will catch particles that are much smaller than 0.007 in diameter.

Step-by-step explanation:

Answer: -10/7

Step-by-step explanation:

The area and the circumference of the circle with a radius 3 m are 28.26 m² and 18.84 m respectively.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is a circle with a radius of 3 m, we need to find the area and the circumference of the circle,

Area = π×radius²

= 3.14×3²

= 28.26 m²

Circumference = 2π×radius

= 2×3.14×3

= 18.84 m

Hence, the area and the circumference of the circle with a radius 3 m are 28.26 m² and 18.84 m respectively.

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The measure of angle AOC is 30 degrees. Angle AOC is classified as an acute angle.

An angle that has a measure that is less than 90 degrees is classified as an acute angle.

Given the diagram below, the angle that is formed by rays AO and CO is angle AOC. The instrument shows that angle AOC is exactly 30 degrees.

30 degrees is less than 90 degrees and can therefore be termed an acute angle.

Therefore, the measure of angle AOC is 30 degrees. Angle AOC is classified as an acute angle.

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The graph of g(x) = -x + 6 is obtained from the graph of f(x) = x by reflecting it in the x-axis and shifting it upward by 6 units.

To transform the graph of \(f(x) = x\) into the graph of\(g(x) = -x + 6\), we can apply a series of transformations. Let's go through each step:

Reflection in the x-axis: Multiply f(x) by -1 to reflect the graph in the x-axis. This changes the positive slope to a negative slope, resulting in the graph of \(-f(x) = -x.\)

Vertical translation: Add 6 to -f(x) to shift the graph upward by 6 units. This moves the entire graph vertically upward while maintaining its shape.

Combining these transformations, we obtain the equation \(g(x) = -f(x) + 6,\)which simplifies to \(g(x) = -x + 6.\)

The transformation sequence can be summarized as follows:

f(x) → -f(x) (reflection in the x-axis) → -f(x) + 6 (vertical translation)

This series of transformations results in the graph of\(g(x) = -x + 6\), which is the desired graph.

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Answer:

660 cubic cm

Step-by-step explanation:

Volume= bhl/2

Answer:

-3(x - 3) (x + 1)

Step-by-step explanation:

Let's check

-3(x - 3) (x + 1)

(-3x + 9) (x + 1)

-3\(x^{2}\) -3x + 9x + 9

-3\(x^{2}\) + 6x + 9

Answer:

-3(x-3)(x+1)

Step-by-step explanation:

A common factor that all three numbers share is that they are divisible by 3, so we can factor 3 out. Typically, I take out the negative first:

-3(\(x^2-2x-3\)) (always remember to change signs!)

Now, we are left with \(x^2-2x-3\), and to factor that out, we need to find two numbers that add up to -2 and multiply to -3. These two numbers will be 1 and -3, so we can write our factor like this:

(x-3)(x+1)

Let's add back in the -3 from earlier to complete our factoring:

-3(x-3)(x+1)

Answer:skin?

Step-by-step explanation:

Answer: Exponential, and increases by 343 percent.

Step-by-step explanation: Always depends on the number being raised, let's call it B. If B is between 0 and 1, it's a decay, but if B is greater than 1, it is exponential. In this case, B is 7, therefore it's exponential.