12.

A website tracks the number of users it has at the

end of each of its first 30 days since going online.

The equation y = 15(1.03)" shows the relationship

between the number of days since the website

went online, x, and the number of users it has, y.

What does 1.03 represent in the equation?

A.

The number of users increases by 3 each day.

B. The number of users increases by 103 each

day.

C.

Each day after the first, the number of users

is 3% greater than it was the day before.

D. Each day after the first, the number of users

is 103% greater than it was the day before.

Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.

Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.

By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.

This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.

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Therefore, Z-scores can be used to identify scores that are unusually high or low compared to the rest of the distribution. This allows researchers to better understand the characteristics of their data and make informed decisions based on their findings.

A researcher calculates standard scores using the population mean and standard deviation. The researcher is calculating the Z-score.Z-scores are defined as the number of standard deviations that a score deviates from the mean of its distribution. They're calculated by subtracting the population mean from the raw score and then dividing the difference by the population standard deviation. The Z-score formula is as follows:

Z = (X - μ) / σ

where Z is the z-score, X is the raw score, μ is the population mean, and σ is the population standard deviation.The purpose of calculating standard scores is to measure the relative position of a score within its distribution. Standard scores can be used to compare scores from different populations or distributions that may have different means and standard deviations. The Z-score has a mean of 0 and a standard deviation of 1, making it useful for comparing scores across different distributions. A Z-score greater than 0 indicates that a score is above the mean, while a Z-score less than 0 indicates that a score is below the mean. Therefore, Z-scores can be used to identify scores that are unusually high or low compared to the rest of the distribution. This allows researchers to better understand the characteristics of their data and make informed decisions based on their findings.

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).

Step-by-step explanation:

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).

The new resulting Gaussian filter will have a standard deviation of 5.

When convolving two Gaussian filters, the resulting filter is also a Gaussian filter. The standard deviation of the resulting Gaussian filter can be calculated using the following formula:

σ_new = sqrt(σ_1^2 + σ_2^2),

where σ_1 and σ_2 are the standard deviations of the two original Gaussian filters being convolved.

In this case, you are convolving a Gaussian filter with a standard deviation of 3 (let's call it σ_1 = 3) with a Gaussian filter with a standard deviation of 4 (let's call it σ_2 = 4).

Using the formula, the standard deviation of the resulting Gaussian filter can be calculated as:

σ_new = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5.

The standard deviation of a Gaussian filter is a measure of its spread or width. When convolving two Gaussian filters, the resulting filter combines the characteristics of both original filters.

The standard deviation of the resulting filter represents the combined spread of the convolved filter.

In this case, since the standard deviations of the original filters are 3 and 4 respectively, the resulting standard deviation of 5 indicates that the convolved filter will have a wider spread compared to the individual filters.

This implies that the resulting filter will blur the image or data more significantly than either of the original filters alone.

Understanding the standard deviation of the resulting Gaussian filter is crucial in image processing, as it helps determine the level of smoothing or blurring applied to an image.

By adjusting the standard deviations of the original filters, the amount of blurring or smoothing can be controlled, allowing for various image enhancement or noise reduction techniques.

In conclusion, when convolving a Gaussian filter with a standard deviation of 3 with a Gaussian filter with a standard deviation of 4, the resulting Gaussian filter will have a standard deviation of 5. This indicates a broader spread and a higher level of blurring or smoothing in the convolved filter.

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(a) The probability that a domestic airfare is $539 or more is [probability value].

To solve these probability questions, we can use the standard normal distribution and convert the given values to z-scores using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

(a) To find the probability that a domestic airfare is $539 or more, we need to calculate the z-score for $539.

z = ($539 - $385) / $110 ≈ 1.4

Using the standard normal distribution table (z-table), we can find the corresponding probability value for z = 1.4. Let's denote this probability as P(Z ≥ 1.4).

(b) To find the probability that a domestic airfare is $230 or less, we need to calculate the z-score for $230.

z = ($230 - $385) / $110 ≈ -1.41

Using the z-table, we can find the corresponding probability value for z = -1.41. Let's denote this probability as P(Z ≤ -1.41).

(c) To find the probability that a domestic airfare is between $310 and $470, we need to calculate the z-scores for both values.

z1 = ($310 - $385) / $110 ≈ -0.68

z2 = ($470 - $385) / $110 ≈ 0.77

Using the z-table, we can find the probability values for z1 and z2. Let's denote these probabilities as P(Z ≤ -0.68) and P(Z ≤ 0.77), respectively. The probability that domestic airfare is between $310 and $470 is then P(-0.68 ≤ Z ≤ 0.77).

(d) To find the minimum cost for a fare to be included in the highest 3% of domestic airfares, we need to find the z-score that corresponds to the upper 97th percentile of the standard normal distribution.

Using the z-table, we can find the z-score that corresponds to a cumulative probability of 0.97. Let's denote this z-score as z. Then, we can calculate the minimum cost (x) using the formula x = μ + z * σ, where μ is the mean and σ is the standard deviation. Round the minimum cost to the nearest integer.

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Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:

x=49

Step-by-step explanation:

2x+1=99

2x=98

x=49

Answer:

To find the value of x we need to solve this equation

2x + 1 = 99

now ,taking constant to right side

2x = 99 - 1

2x = 98

x = 98/2

x= 49

hope it will help ,sir

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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Answer:

x+y = -1

Step-by-step explanation:

hope it helps ........

The slope of the tangent line to the curve 6x^2 − 2xy + 3y^3 = 216 at the point (6,0) is 6.

To find the slope of the tangent line to the curve 6x^2 − 2xy + 3y^3 = 216 at the point (6,0), we need to use implicit differentiation.

Taking the derivative of both sides of the equation with respect to x, we get:

d/dx (6x^2 − 2xy + 3y^3) = d/dx (216)

Using the product rule and chain rule, we obtain:

12x - 2y - 2x(dy/dx) + 9y^2(dy/dx) = 0

Now, we can plug in the values x = 6 and y = 0 to find the value of dy/dx at the point (6,0):

12(6) - 2(0) - 2(6)(dy/dx) + 9(0)^2(dy/dx) = 0

72 - 12dy/dx = 0

dy/dx = 6

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Answer:

positive

Step-by-step explanation:

Answer:

38 kids on each team about.

I am Not 100% sure but I hope this Helps!

So D.

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: \(Dom \{f(x)\} = \mathbb{R}\)

Codominio: \(Ran \{f(x)\} = 4\)

Asíntota: \(y = 4\)

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea \(f(x) = 4\), el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son \(Dom \{f(x)\} = \mathbb{R}\) y \(Ran \{f(x)\} = 4\). No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función (\(y = 4\)) y carece de raíces al ser \(f(x) \ne 0\) para todo \(x\in \mathbb{R}\).

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

The working of T critical value calculator is explained

What is t test?

t test is the test used  if the sample standard deviation is known and population standard deviation is unknown.

t test is used if the sample standard deviation is known and population standard deviation is unknown.

Here, t value is calculated by the formula

\(t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(\bar{x}\) = mean of the sample

\(\mu\) = mean of the population

s = standard deviation of sample

n = Number of samples

Now, with the help of degree of freedom (n - 1) and the level of significance, the critical value of t is to be noted from the t table. Let it be \(t_{critical}\)

if the value of t lies between \(-t_{critical}\) and \(+t_{critical}\) then the null hypothesis is accepted, otherwise the null hypothesis is rejected.

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L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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It will take 8 minutes for the cold water faucet to fill the tub by itself.

Let x be the time in minutes that the hot water faucet would take to fill the tub by itself. Then the cold water faucet would take 2x minutes to fill the tub by itself. We can then set up an equation in terms of x:1/x + 1/2x = 1/6Multiplying both sides by 6x gives:6 + 3 = xSimplifying gives:x = 9So the hot water faucet would take 9 minutes to fill the tub by itself. Therefore, the cold water faucet would take twice as long, or 2(9) = 18 minutes to fill the tub by itself.

The problem states that a bathtub can be filled by the cold water faucet twice as long as the hot water faucet. Let's say it takes the hot water faucet "x" amount of time to fill the tub by itself. The cold water faucet would take twice as long, which is "2x".If we add both times together, we get the total time to fill the tub. In this problem, it takes 6 minutes to fill the tub when both faucets are open. Therefore, we can create an equation with this information. We know that the equation for the rate is:rate × time = workWe can also state that the work (filling the tub) is 1, and therefore the equation becomes:1/x + 1/2x = 1/6Multiplying both sides by 6x, we get:6 + 3 = xSimplifying the equation gives us:x = 9Therefore, the hot water faucet takes 9 minutes to fill the tub by itself. We know that the cold water faucet takes twice as long, or 2(9) = 18 minutes to fill the tub by itself.

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Answer:

Here is your your answer

Step-by-step explanation:

when ever we solve algebraic multiplication/ division so we have to apply - sign

Hope it is useful

Answer: I think the answer is $8.80

Answer:$8.80

Step-by-step explanation: You would take the 1.60 times 5 to get the number 8. Then you would take 1.60 again and times it by 0.5 to get 0.8 or 0.80. And then you would add the 0.8 and the 8 together to get your total of $8.80.

Given:

\(\Delta FUN\cong \Delta TEA\)

To find:

Identify the congruent corresponding parts of \(\angle N\cong \angle \_\_\).

Solution:

We have,

\(\Delta FUN\cong \Delta TEA\)

We know that corresponding parts of congruent triangles are congruent.

\(\angle F\cong \angle T\)

\(\angle U\cong \angle E\)

\(\angle N\cong \angle A\)

Therefore, the required corresponding part is  \(\angle N\cong \angle A\).

If you deposit $14,000 into an account paying 2.1% interest compounded monthly, you will earn approximately $2,450 in interest after 8 years.

To calculate the interest earned, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt)\), where A is the final amount, P is the principal amount (initial deposit), r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount is $14,000, the annual interest rate is 2.1% (or 0.021 as a decimal), and the interest is compounded monthly, so n = 12. The time period is 8 years.

Plugging these values into the formula, we get:

A = \(14000(1 + 0.021/12)^(^1^2^*^8^)\)

Calculating this expression, we find that the final amount after 8 years will be approximately $16,449.55. To determine the interest earned, we subtract the initial deposit from the final amount:

Interest earned = $16,449.55 - $14,000 = $2,449.55.

Rounding this to the nearest dollar, the interest earned after 8 years will be approximately $2,450.

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To solve this we must be knowing each and every concept related to exponential decay and its calculations. Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

Exponential decay is indeed a scalar many of the exponential function, which has a known expected value (i.e. the individual lifespan of each item is exponentially distributed).

It may be stated as y=a(1-b)x, where y seems to be the ultimate amount, an is indeed the initial amount, b is indeed the decay factor, as well as x seems to be the time elapsed. y=a.b(x) with o<b<1 is the equations that  best describes exponential decay.

Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

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The lifter would need to perform approximately 27 reps of lifting a 16-lb barbell through a distance of 1.1 ft to work off 150 C.

To answer this question, we need to know the amount of work done in each rep of the lift. Work is defined as force multiplied by distance, so the work done in lifting the 16-lb barbell through a distance of 1.1 ft is:

Work = Force x Distance
Work = 16 lb x 1.1 ft
Work = 17.6 ft-lb

Now we can calculate the number of reps required to work off 150 C. One calorie is equivalent to 4.184 joules of energy, so 150 C is equal to:

150 C x 4.184 J/C = 627.6 J

We can convert this to foot-pounds of work by dividing by the conversion factor of 1.3558:

627.6 J / 1.3558 ft-lb/J = 463.3 ft-lb

To work off 463.3 ft-lb of energy, the lifter would need to perform:

463.3 ft-lb / 17.6 ft-lb/rep = 26.3 reps (rounded up to the nearest whole number)

Therefore, the lifter would need to perform approximately 27 reps of lifting a 16-lb barbell through a distance of 1.1 ft to work off 150 C.

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Answer:

hi I'm pretty sure its C) 2x + 48 = 180

sorry if I'm wrong

The variance of the total weight of flour sacks purchased is 36.

Since the moment generating function of a random variable uniquely determines its moments, we can use the moment generating function MW(t) to find the mean and variance of the weight of one sack of flour.

The first derivative of the moment generating function is:

MW'(t) = 6t/(1 - 3t)³

Setting t = 0, we get the mean:

MW'(0) = 6(0)/(1 - 3(0))³ = 0

So the mean weight of one sack of flour is zero.

The second derivative of the moment generating function is:

MW''(t) = 54t²/(1 - 3t)⁴ + 18/(1 - 3t)³

Setting t = 0, we get the second moment:

MW''(0) = 54(0)²/(1 - 3(0))⁴ + 18/(1 - 3(0))³ = 18

So the variance of the weight of one sack of flour is 18.

Now, let X and Y denote the weights of the first and second sacks of flour, respectively. Since the weights are independently distributed, the variance of the total weight of flour sacks purchased is the sum of the variances:

Var(X + Y) = Var(X) + Var(Y) = 18 + 18 = 36

Therefore, the variance of the total weight of flour sacks purchased is 36.

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In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

\(\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\)

Then the hypotenuse will be.

\(\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2\)

Thus, the hypotenuse is 32.2 inches.

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Answer: 4bx^2

Step-by-step explanation:

Answer:

Hey there!

I got the answer

4bx^4

Step-by-step explanation:

All you have to do is simplify the radicand up into a product of known factors , assuming positive real numbers.

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x - 6 + 89 + 57 = 180 , that is

5x + 140 = 180 ( subtract 140 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8 → A

Answer:

No, when multiplying a variable (such as "b") by a constant or another variable, you do not need to put the variable in parentheses. So, the correct way to write the expression "exphonet b²" using mathematical notation would be "e^b^2".