5 dogs had long hair out of the 8 dogs at the park. What percent of the dogs had long hair? Round your answer to the nearest whole percent.

Answer: 48 gallons in 4 hours

Step-by-step explanation:

3 gallons every .4 hours > 12 gallons every 1 hour > 48 gallons every 4 hours

Answer:

12·3= Marco's math problems

Step-by-step explanation:

We know that Vivian was assigned 12.

We also know that Marco was assigned 3 times as many as Vivian, meaning we have to multiply:

12·3

=36

So, Marco was assigned 36 math problems.

Hope this helps! :)

The 95% confidence interval for the population proportion is approximately 0.3573 to 0.7141. None of the given options (A, B, C, D) match the calculated interval.

To construct a confidence interval for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± critical value * standard error

Where the sample proportion (p-hat) is calculated by dividing the number of successes (x) by the total sample size (n). In this case, n = 56 and x = 30, so the sample proportion is 30/56 = 0.5357.

The critical value is determined based on the desired degree of confidence. For a 95% confidence level, which is given in this case, the critical value can be obtained from a standard normal distribution. For a two-tailed test, the critical value is approximately 1.96.

The standard error is calculated by taking the square root of (p-hat * (1 - p-hat) / n). Plugging in the values, we get sqrt(0.5357 * (1 - 0.5357) / 56) = 0.0907.Now, we can construct the confidence interval:Confidence Interval = 0.5357 ± 1.96 * 0.0907Calculating the upper and lower bounds of the interval:

Lower bound = 0.5357 - (1.96 * 0.0907) ≈ 0.3573

Upper bound = 0.5357 + (1.96 * 0.0907) ≈ 0.7141\

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We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).

To answer this question, we need to use the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:

(x - h)^2 + (y - k)^2 = 10^2

We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:

(y - k)^2 = 10^2 - (x - h)^2

y - k = ±√(10^2 - (x - h)^2)

k = y ±√(10^2 - (x - h)^2)

Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:

k = y

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Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

Look down below

Step-by-step explanation:

A.)Net capitalized cost=146,000-3000= $143,000

Net capitalized cost = 143,000

B.)Money factor=8.4/100 over 24=0.084/24=0.0035

Money Factor= 0.0035

C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763

Average Monthly Finance Charge= $763

D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33

Average monthly deprecation= $1133.33

E.)monthly lease payment=1133.33/5= $226.66

Monthly lease payment= $226.66

Answer:

dont listen to person above me . it's a scam

The cubic equation is used to describe the glide path of a plane. The given information states that the plane is in level flight at an altitude of 1 mile and starts its descent 6 miles east of the airport.

The question provides information about the altitude of the plane is in and starts its descent 6 miles east of the airport. However, since the equation itself is not provided, we cannot determine the exact shape or characteristics of the glide path.
To better understand the glide path described by the cubic equation, we need to know the equation itself. Unfortunately, the equation is not provided in the question. Without the equation, we cannot determine the exact shape or characteristics of the glide path.
However, a cubic equation typically has the form:
y = ax^3 + bx^2 + cx + d
Where x represents the horizontal distance and y represents the vertical distance (altitude) from the ground. The coefficients a, b, c, and d determine the specific shape of the curve.
Without the specific equation, we cannot provide explanation or examples based on the given information. We would need the equation to calculate and visualize the glide path accurately.
In summary, the question provides information that the plane is in level flight at an altitude of 1 mile and starts its descent 6 miles east of the airport, about a plane's glide path being described by a cubic equation. However, since the equation itself is not provided, we cannot determine the exact shape or characteristics of the glide path.

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Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

According to the statement

we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.

So, For this purpose, we know that the

Discrete events are those with a finite number of outcomes

And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.

The main example of this is Binomial.

And the two conditions of the probability distribution is :

So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

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Answer:

16%

Step-by-step explanation:

(174-150)/150= 0.16

0.16*100 = 16%

Answer:

3:4

Step-by-step explanation:

24 students : 32 people total

Divide both sides by 8

Answer: 3 to 4

this is correct, verified it myself B)

The researcher is applying the results of their study by making inferences about the characteristics of all college students. This is known as generalization.

In this scenario, the researcher completed a study of students on six college campuses and used the findings to make conclusions about all college students. By doing so, the researcher is assuming that the characteristics of the sample are representative of the larger population.

The process of generalization involves drawing inferences from a sample and applying them to a larger population. It can be used in quantitative research to make predictions about an entire population based on data collected from a subset of that population.

However, it is important to note that the process of generalization is subject to limitations and that the accuracy of the predictions depends on the quality of the data collected.

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The equation of the line is y = 2/3x + 2

What is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

Slope between two points

m = (y2 - y1)/(x2 - x1)

   = (2 - (-2)) / (-3 - (-6))

   = 4 / 6

   = 2/3

y - y1 = m (x - x1)

y - (-2) = 2/3 (x - (-6))  

y + 2 = 2/3(x+6)

y = 2/3x +4 - 2

y = 2/3x + 2

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There is no value of n such that both 3ⁿ⁻¹ and 5ⁿ⁻¹ are divisible by 7.

For d=7, we can see that:

3² - 1 = 8 is divisible by 7, but 5² - 1 = 24 is not divisible by 7.

For larger values of d such as 11, 13, 77, and 1001, we can use a similar approach to see if there are any values of n such that both 3ⁿ⁻¹ and 5ⁿ⁻¹ are divisible by d. However, finding an exact value of n for larger values of d may be difficult without using more advanced mathematical methods.

In general, the number of values of n such that both 3ⁿ⁻¹ and 5ⁿ⁻¹ are divisible by a given integer d will depend on the properties of the numbers 3, 5, and d. For example, if d is a prime number that is not a divisor of either 3 or 5, it is likely that there are only a few values of n such that both 3ⁿ⁻¹ and 5ⁿ⁻¹ are divisible by d.

However, if d is a composite number or a divisor of either 3 or 5, there may be more values of n such that both 3ⁿ⁻¹ and 5ⁿ⁻¹ are divisible by d. Whether there are finitely or infinitely many such n will depend on the specific values of 3, 5, and d.

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The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars. The total cost of the fuel is 383 USD.

Significant Figure

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

Euro and Dollars:

The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars.

Given here,

Total distance = 5000 km

Average fuel consumption = 6 lit per 100 km = 0.06 lit / km

Average fuel cost = 1.063 EUR/lit

1 EUR  = 1.2 USD

So, Total fuel consumption,

⇒ 5000 km × 0.06 lit /km

⇒ 300 lit

Thus, Total fuel cost,

⇒ 300 lit × 1.063 EUR/lit

⇒ 318.9 EUR

⇒ 318.9 EUR × 1.2 USD

⇒ 383 USD

Therefore, the total cost of the fuel is 383 USD

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The difference quotient is: (f(x) - f(1)) / (x - 1) = (x + 3/x + 1 - (1 + 3/1 + 1)) / (x - 1) = (x + 3/x + 1 - 4/2) / (x - 1) = (x + 3 - 2x) / (x^2 - x - 2).

The difference quotient is a way to approximate the rate of change of a function at a given point. To evaluate the difference quotient for a given function, we need to take the ratio of the change in the function's output to the change in its input.

Given the function f(x) = x + 3/x + 1, the difference quotient is:

(f(x) - f(1)) / (x - 1) = (x + 3/x + 1 - (1 + 3/1 + 1)) / (x - 1) = (x + 3/x + 1 - 4/2) / (x - 1) = (x + 3 - 2x) / (x^2 - x - 2)

This is the simplified form of the difference quotient.

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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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There are two main methods to determine if it is a rainy day at a given location: measuring rainfall using weather instruments, and using radar and satellite imagery.

Measuring rainfall using weather instruments involves setting up a rain gauge, an instrument that measures the amount of rainfall in a specific location. These instruments measure the amount of rainfall at a given time and provide more accurate readings than radar or satellite imagery.

Using radar and satellite imagery is another way to measure if it is a rainy day at a given location. Radar and satellite imagery show precipitation patterns, cloud types, and the movement of the clouds. These images can help identify where it is raining and how much rainfall is expected in the near future.

Both methods are useful for predicting rain or other types of precipitation. Rainfall measurements from weather instruments provide more accurate data, while radar and satellite imagery offer a bigger picture of the overall weather patterns in a given area.

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Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

Answer: 2:5

Step-by-step explanation: There are 2 rabbits and 5 dogs.

Answer:

a= 24b/5c b= 5ac/24 c= 24b/5a

Step-by-step explanation:

Put the problem into a calculator that can solve with variables.

Answer:

B and D

Step-by-step explanation:

quadrilaterals only have 4 sides hence the prefix quad

Answer:

B and D

Step-by-step explanation:

C has five sides and A has three sides with a curve, curve doesn't count as a side

the missing endpoint is (- 1, 26).

To find the missing endpoint of the line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, we are given the endpoint (9, -10) and the midpoint (4, 8). Let's denote the missing endpoint as (x, y).

Using the midpoint formula, we can set up the following equations:

((9 + x) / 2, (-10 + y) / 2) = (4, 8)

Simplifying the equations, we get:

(9 + x) / 2 = 4

(-10 + y) / 2 = 8

Solving these equations, we find:

9 + x = 4 * 2

-10 + y = 8 * 2

9 + x = 8

-10 + y = 16

x = 8 - 9

y = 16 + 10

x = -1

y = 26

Therefore, the missing endpoint is (- 1, 26).

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Complete question is below

Find the other endpoint of the line segment with the given endpoint and midpoint. The endpoint is (9, -10) and the midpoint is (4, 8).

Answer:

The length of the hypotenuse is  √113 units

Step-by-step explanation:

To find the length of the hypotenuse, we will simply use the distance formula

|d| = √  (x₂ - x₁)²   +   (y₂ -y₁)²

from the diagram, the points on the vertices of the hypotenuse are

(-4, -2)      and    (4,5)

x₁ =-4      y₁= -2         x₂  = 4        y₂ = 5

we can now proceed and insert the values into the formula

|d| = √  (x₂ - x₁)²   +   (y₂ -y₁)²

    = √  (4 + 4)²   +   (5 +2)²

   = √  (8)² + (7)²

  = √ 64+49

  = √113    units

Therefore, the length of the hypotenuse is  √113 units