If you can burn 100 calories by running 20 minutes, how many calories can you burn
in 60 minutes? Write a proportion and solve.

A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.

A probability is a numerical value that measures the likelihood of an uncertain event occurring.

It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.

To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.

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The function representing the area to paint as a function of time is A(t) = 52 - 8t, where A(t) represents the area left to paint after t hours.

The area to paint, A(t), can be represented as a linear function based on the given information. Initially, Hiro had the entire room to paint, which can be represented as A(0) = A₀, where A₀ is the total area of the room.

Given that Hiro painted at a rate of 8 square meters per hour, after t hours, he would have painted 8t square meters.

Therefore, the remaining area to paint after t hours can be expressed as A(t) = A₀ - 8t.

We are told that after 3 hours, Hiro had 28 square meters left to paint. Substituting t = 3 and A(t) = 28 into the equation, we can solve for A₀:

28 = A₀ - 8 x 3

28 = A₀ - 24

A₀ = 52

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The complete question:

Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. Let A(t) denote the area to paint A (measured in square meters) as a function of time t (measured in hours). What is the Functions formula? A(t)=?

Answer:

i have no clue try ddownloading gouthmath and scan your photo

Step-by-step explanation:

hope you can solve

If a company found that raising the price of its muffins resulted in an absolute value of.35 < 1, then the demand for muffins is inelastic.

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Answer: 1

Step-by-step explanation:

In this case, the PB value is 333.3%, indicating that the controller is highly sensitive to changes in the error signal, leading to faster response times but more oscillations.

The proportional band is an essential part of the Proportional, Integral, and Derivative (PID) controller used to control the process variable.

The proportional band is defined as the distance in the error signal where the controller output changes by a specific amount. It is calculated as a percentage of the sensor's full-scale range (FSR). The proportional band can be found using the following formula:

Proportional Band (PB) = (100 x Change in Actuator Range) / (Change in Sensor Range x Kc)Where PB is the proportional band in percentage, Kc is the process gain in mA/V, the change in the actuator range is 16 mA, and the change in sensor range is 10 V - 0 V = 10 V. Substituting these values in the formula yields:PB = (100 x 16 mA) / (10 V x 4.8 mA/V)PB = 333.3 %.

Therefore, the proportional band is 333.3%. This value implies that for every 333.3% change in the error signal, the controller's output will change by 16 mA. A higher proportional band would cause the controller to be more sensitive to changes in the error signal, leading to faster response times and oscillations in the process variable.

Conversely, a lower proportional band would cause the controller to be less responsive to changes in the error signal, leading to slower response times and a more stable process variable.

:Therefore, the proportional band is 333.3%. This value implies that for every 333.3% change in the error signal, the controller's output will change by 16 mA.

A higher proportional band would cause the controller to be more sensitive to changes in the error signal, leading to faster response times and oscillations in the process variable.
Conversely, a lower proportional band would cause the controller to be less responsive to changes in the error signal, leading to slower response times and a more stable process variable.

In control theory, the proportional band (PB) is the range of a controller's output that changes with the magnitude of the error signal.

It is expressed as a percentage of the full-scale range (FSR) of the sensor used to measure the process variable. A high PB value will make the controller more sensitive to changes in the error signal, resulting in a faster response time but more oscillations.

A low PB value will make the controller less sensitive to changes in the error signal, resulting in a slower response time but a more stable process variable.

The PB value is calculated using the process gain, the sensor range, and the actuator range. In this case, the PB value is 333.3%, meaning that the controller's output will change by 16 mA for every 333.3% change in the error signal.

This indicates that the controller is highly sensitive to changes in the error signal, leading to faster response times but more oscillations.

Therefore, the proportional band plays an important role in PID controller design. The PB value is used to adjust the controller's sensitivity to changes in the error signal and is expressed as a percentage of the sensor's full-scale range. A higher PB value will make the controller more sensitive to changes in the error signal, resulting in a faster response time but more oscillations, while a lower PB value will make the controller less sensitive to changes in the error signal, resulting in a slower response time but a more stable process variable. In this case, the PB value is 333.3%, indicating that the controller is highly sensitive to changes in the error signal, leading to faster response times but more oscillations.

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Hope I helped.  :)

- Valenteer

Answer:

Step-by-step explanation:

divide through by the coefficient of \(x^{2}\)

\(\frac{5x^{2} }{5}\) + \(\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}\)

\(x^{2} +\frac{16}{5}x -8 =\frac{8}{5}\)

\(x^{2} +\frac{16}{5} x = \frac{8}{5} +8\)

\(x^{2} + \frac{16}{5} x =\frac{48}{5}\)

Add half of the square of the coefficient of x  to both sides \((\frac{1}{2} X \frac{16}{5} ) ^{2}\)

\(x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =\) \(\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}\)

\(x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}\)

\((x +\frac{16}{10})^{2} =\frac{304}{25}\)

\(x +\frac{16}{10} =\)±\(\sqrt{\frac{304}{25} }\)

\(x = -\frac{16}{10}\) ± \(\sqrt{\frac{304}{25} }\)

\(x=-\frac{16}{10} + \sqrt{\frac{304}{25} }\) or\(-\frac{16}{10} - \sqrt{\frac{304}{25} }\)

\(x = 1.89\) or -5.09

The answers are 3x=9 , 5x=15,6x=18

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:  9x=27 has an answer of x=3.

Clearly 3x=9 , 5x=15,6x=18 satisfy the given criteria

Hence, The answers are 3x=9 , 5x=15,6x=18

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The required answers five different equations with an answer of x=3 are ,

⇒ 3x=9 ,

⇒ 4x = 12

⇒ 5x=15,

⇒ 6x=18

⇒ 7x = 21

Given here:  

Equation 9x = 27 has an answer of x=3.

Now, We can simplify as,

Clearly 3x=9 , 5x = 15, 6x = 18 satisfy the given criteria, as x = 3 are solution.

⇒ 3x = 9

⇒ x = 9/3

⇒ x = 3

⇒ 4x = 12

⇒ x = 12/4

⇒ x = 3

⇒ 5x = 15

⇒ x = 15/5

⇒ x = 3

⇒ 6x = 18

⇒ x = 18/6

⇒ x = 3

⇒ 7x = 21

⇒ x = 21/7

⇒ x = 3

Hence, The answers are ,

⇒ 3x=9 ,

⇒ 4x = 12

⇒ 5x=15,

⇒ 6x=18

⇒ 7x = 21

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Answer:

B

Step-by-step explanation:

a) The probability that a randomly selected one-year-old boy will be approximately 0.0228 b)  Z = (18 - 22.8) / 2.15 = -2.23. c) Ann's son's Z-score is negative because his weight is below the mean. d)  the probability is 0.0129.

a) To find the probability that a randomly selected one-year-old boy will be unusually small, we need to calculate the area under the normal distribution curve that falls below two standard deviations from the mean.Using the standard normal distribution table or a calculator, we can find that the area to the left of two standard deviations below the mean is approximately 0.0228. This represents the probability of being unusually small.

b) To calculate Ann's son's Z-score, we use the formula: Z = (x - μ) / σ, where x is the individual value, μ is the mean, and σ is the standard deviation.

Substituting the values, we have Z = (18 - 22.8) / 2.15 = -2.23.

Since his Z-score is negative, it indicates that his weight is below the mean. Therefore, he is considered unusually small relative to other one-year-old boys.

c) Ann's son's Z-score is negative because his weight is below the mean. The Z-score measures the number of standard deviations an individual value is from the mean. When the value is below the mean, the Z-score is negative.

d) To find the probability that a randomly selected one-year-old boy weighs less than Ann's son, we need to calculate the area under the normal distribution curve to the left of Ann's son's weight.

Using the Z-score of -2.23, we can find the corresponding area from the standard normal distribution table or a calculator. The area is approximately 0.0129, which represents the probability that a randomly selected one-year-old boy weighs less than Ann's son.

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Answer:

The dimensions of the room in inches on the scale drawing is

\(3\frac{1}{4}\) inches by \(3\frac{3}{4}\)inches OR 3.25 inches by 3.75 inches

Step-by-step explanation:

From the question, the dimension of the room is 13feet by 15feet.

Now, if the room is drawn to 1/4 inch represents 1 foot scale, i.e 0.25 inch represents 1 foot, then the dimension of the room in inches on the scale drawing can be determined as follows

Since 1 foot = 0.25 inch  

∴ 13 feet on the scale drawing will be 13 × 0.25 = 3.25 or 3 1/4 inches

and 15 feet on the scale drawing will be 15 × 0.25 = 3.75 or 3 3/4 inches

Hence, the dimensions of the room in inches on the scale drawing is

\(3\frac{1}{4}\) inches by \(3\frac{3}{4}\)inches OR 3.25 inches by 3.75 inches.

Answer:

ANS: 1 - D

ANS: 2 - B

ANS: 3 - A

ANS: 4 - D

Step-by-step explanation:

The following is true for the t test for independent means:T test for independent means is a parametric inferential test used for making comparisons between two groups' means.

The t test for independent means can only be performed if there are two different groups or conditions.The t test for independent means assumes that the data are approximately normally distributed and that the variances of the two groups are equal.The t test for independent means can be used to examine whether or not there is a significant difference between the means of the two groups.The t test for independent means' null hypothesis is that there is no significant difference between the means of the two groups. If the t statistic obtained from the test is greater than the critical value, the null hypothesis will be rejected, indicating that there is a significant difference between the means of the two groups.The t test for independent means is an excellent way to compare two groups when the data are approximately normally distributed and the variances are equal.

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Step-by-step explanation:

remember the trigonometric triangle in the circle.

sine is the up/down leg, cosine is the left/right leg.

and because we are not in the norm-circle with radius 1, we have to multiply every trigonometric function by the actual radius (13).

so, we could pick any side I choose the shorter one :

5 = cos(theta)× 13

cos(theta) = 5/13 = 0.384615385...

theta = 67.38013505...° ≈ 67.4°

ANSWER

x = 4; 5x + 1 = 21

EXPLANATION

First, we have to find the value of x using the given equation,

To do so, divide both sides by 2,

Now, with x = 4, replace it into the expression given to find its value,

Hence, the value of the expression is 21.

Answer:

you are right bro keep up

Answer:

c = 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√169= √c²

13 = c

Answer:

Step-by-step explanation:

The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.

Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:

Regression 1: y = -5.8x - 6.5, r = -0.7621

Regression 2: y = 2.4x - 14.7, r = 0.809

Regression 3: y = -7.4x - 17.4, r = -0.233

Regression 4: y = -3.4x - 8.5, r = -0.6121

Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.

2/221 is the probability that a 2-card hand has two queens, two kings, or one of each.

Now, calculate the probability as follows:

Then, it can be either KK or QQ.

So required probability = 2king or 2 queen

Therefore, the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each is 2/221.

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The height of the parallelogram is 9 cm.

To find the height of a parallelogram with a given base and area, we can use the formula:

Area = base x height

In this case, we are given that the base of the parallelogram is 12 cm and the area is 108 sq. cm. Substituting these values into the formula, we get:

height = 108/12

Simplifying this expression, we get:

height = 9cm

A parallelogram is a four-sided polygon with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles are also equal in measure, meaning that the adjacent angles are supplementary (their sum is 180 degrees).

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The constant c value is 144/23 and x and y are dependent

To find the constant c, we need to use the fact that the joint probability density function (pdf) of x and y must integrate to 1 over the entire domain of x and y. That is:

∫∫ fx,y(x, y) dx dy = 1

Integrating the given joint pdf over the entire domain of x and y, we get:

∫∫ \((x^2/8 - 2/18)e^{(x*y)} dx dy = 1\)

This integral is difficult to evaluate analytically, so we will use the fact that it must equal 1 to find the constant c. We can do this by integrating the joint pdf with respect to x and y separately and setting the result equal to 1. That is:

∫∫ fx,y(x, y) dx =\(\int^{\infty} _{0} \int ^{\infty} _{0} (x^2/8 - 2/18)e^{(x*y)} dx dy\)

                 =\([y/(8y^2 - 1)][(y^2 + 4)e^y - 4]\)from x=0 to x=∞, y=0 to y=∞

                 = 1

Solving this integral, we get:

c = 144/23

Therefore, the constant c is 144/23.

If this is the case, then x and y are independent. Otherwise, they are dependent. Let's see if we can factorize the given joint pdf:

fx,y(x, y) = \((x^2/8 - 2/18)e^{(x*y)}\)

fx(x) = ∫ fy(x) fx,y(x, y) dy

     = ∫\((x^2/8 - 2/18)ce^{(x* y)} dy\)

     = \((x^{2/8} - 2/18)ce^{(x*y)/x}\) from y=0 to y=∞

     = 0

fy(y) = ∫ fx,y(x, y) dx

     = ∫ \((x^2/8 - 2/18)ce^{(x*y)}\) dx

     = \((1/8)ce^{(x*y)/y^3} - (1/9)ce^{(x*y)/y^2}\) from x=0 to x=∞

     = 0

We can see that neither fx(x) nor fy(y) is a non-zero function, which means that the joint pdf cannot be factored into separate functions of x and y.

Therefore, x and y are dependent.

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Answer:

4x + 5

Step-by-step explanation:

Answer:

48%

Step-by-step explanation: multiply 4 with the numerator and denominator

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Eight pretzels and four milkshakes.

Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

Step-by-step explanation:

Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.

The expression 5c+6p models the total cost of large cheese pizzas.

here c represents Number of large cheese pizzas and p represents number of  large pepperoni pizzas such that

5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

[Total cost = Cost of each item x Number of items ]