A squirrel moved 200 meters in 7,200 seconds. What was the speed of the squirrel in meters per hour? *

It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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Answer:

y = 85

Step-by-step explanation:

6x - 25 = 4x + 15

(Subtract 4x from both sides)

2x - 25 = 15

(Add 25 to both sides)

2x = 40

(Divide 40 by 2)

x = 20

6(20) - 25 = 4(20) + 15

(Solve)

95 + 95 = 190

(Subtract 360 from 190)

360 - 190 = 170

(Divide 170 by 2)

85

y = 85

Answer: Probability: 3/12 or 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio of the volume of the pyramid to the volume of the prism is 1.so, the option A. is correct.

Let the base of  the base of a prism is b and the height of the prism is h.

so, the volume of the prism-

                                    V= \(b^{2}\) h

also, given that base of the given pyramid is also b and the height of the pyramid is three times the height of the prism.

                                     h'=3h

so, the volume of the square pyramid-

                                    V'=\(\frac{1}{3}\)\(b^{2}\)h'

                                    V'=\(\frac{1}{3}\)\(b^{2}\)(3h)

                                    V'=\(b^{2}\)h

so, now-

                                  \(\frac{V'}{V}\)=\(\frac{b^{2}h }{b^{2}h }\)

                                   \(\frac{V'}{V}\)= 1

  so. the ratio of the volume of the pyramid to the volume of the prism is 1.                                

The required answer is the approximately 5.98 feet.

The area of a circular trampoline is given as 112.07 square feet.

To find the radius of the trampoline,

area of a circle:

A = πr^2

where A is the area and r is the radius of the circle.

To find the radius,

r = √(A/π)

Substituting the given area, we have:

r = √(112.07/π)

Now,  calculate the value of the radius using a calculator or estimation. the value of π to be approximately 3.14:

r = √(112.07/3.14)
r ≈ √(35.70675)
r ≈ 5.98

Therefore, the radius of the circular trampoline is approximately 5.98 feet.

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Answer:

The sum is 30.

Step-by-step explanation:

\(\sqrt{14}=3.74\\\sqrt{80}=8.94\\4+5+6+7+8 = 30\)

The sum of all the positive integers from square root 14 to square root 80 is 30.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We need to find the sum of all the positive integers from square root 14 to square root 80.

√14 = 3.74

√80 = 8.94

Thus, √14 +√80

4 + 5+ 6 + 7 + 8

= 30

Therefore, the sum of all the positive integers from square root 14 to square root 80 is 30.

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The gas mileage of the trucks is the number of miles traveled per gallon of gas

The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.

As stated above, gas mileage measures the miles traveled by one gallon of gas.

This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile

From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.

19 miles per gallon is greater than 19 miles per gallon

This means that truck A has the greater mileage

Hence, option (B) is true

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Answer:

B.

Step-by-step explanation:

5-2+2=5; -8+9+6=7;

3-1+5=7; 0-0+4=4.

finally, the result matrix is:

\(\left[\begin{array}{ccc}5 \ 7\\7 \ 4\end{array}\right]\)

The modulus of any complex number a+bi is given by |a+bi| = sqrt(a^2 + b^2).

The modulus of a complex number represents its distance from the origin in the complex plane. This can be visualized as the length of the vector that connects the origin to the point (a,b) in the plane. By using the Pythagorean theorem, we can find the length of this vector as sqrt(a^2 + b^2). Thus, this value gives us the modulus of the complex number.

In summary, the modulus of a complex number a+bi is the distance between the origin and the point (a,b) in the complex plane, and it is given by |a+bi| = sqrt(a^2 + b^2).

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The residual for the observed value (5, 811) is -4. The correct answer is (a) -4.

To find the residual for an observed value, we need to compare the observed value with the predicted value based on the least squares regression line.

The least squares regression line is given by the equation ŷ = 800 + 3x, where ŷ represents the predicted value of the dependent variable y, and x represents the independent variable.

For the observed value (5, 811), the x-value is 5, and the y-value is 811. We can substitute the x-value into the equation of the regression line to find the predicted value:

ŷ = 800 + 3(5)

= 800 + 15

= 815

The predicted value for the observed value (5, 811) is 815.

The residual is calculated by subtracting the predicted value from the observed value:

Residual = Observed value - Predicted value

= 811 - 815

= -4

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Answer:

$9.00

Step-by-step explanation:

We can use conversion factors to solve this equation. The multiplication sequence that I got is shown below:

\(\frac{3ft}{1}\) × \(\frac{12 in}{1ft}\) × \(\frac{0.25}{1in}\)

Our feet and inches cancel out and we get the final expression \(\frac{3*12*0.25}{1}\), which is equal to 9, or $9.00.

Hopefully that was helpful! :)

The choice function c satisfies finite nonemptiness and choice coherence, but there does not exist a utility function U , which does not contradict the Fundamental Theorem of Mindless Economics.

A. To show that the choice function c satisfies finite nonemptiness, we need to demonstrate that for each choice set Bn, c(Bn) is non-empty.

To show that the choice function c satisfies choice coherence, we need to demonstrate that for any two choice sets Bn and Bm, if Bn ⊆ Bm, then c(Bn) ⊆ c(Bm).

From the given information, we have B1 = {x, y}, B2 = {y, z}, and B3 = {x, z}. Let's consider the possible pairs of choice sets:

B1 and B2: B1 ⊆ B2 since {x, y} is a subset of {y, z}. In this case, c(B1) = {x} and c(B2) = {y}. We can observe that {x} ⊆ {y}, which satisfies the condition of choice coherence.

B1 and B3: B1 ⊆ B3 since {x, y} is a subset of {x, z}. In this case, c(B1) = {x} and c(B3) = {z}. We can observe that {x} ⊆ {z}, which satisfies the condition of choice coherence.

B2 and B3: B2 ⊈ B3 since {y, z} is not a subset of {x, z}. Therefore, the condition of choice coherence does not apply in this case.

Overall, the choice function c satisfies finite nonemptiness and choice coherence, except for the pair of choice sets B2 and B3.

B. To show that there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula c(Bn) = {x ∈ Bn : U(x) ≥ U(y) for all y ∈ Bn}, we need to demonstrate that such a utility function does not exist.

Let's consider the pairs of choice sets B1 and B2:

For B1 = {x, y}, we have c(B1) = {x}. To satisfy the usual formula, we would need a utility function U(x) ≥ U(y). However, since there is no order or preference provided for x, y, and z, we cannot assign numerical values to them in a way that U(x) ≥ U(y) holds.

Similarly, for B2 = {y, z}, we have c(B2) = {y}. Again, we cannot assign numerical values to y and z that satisfy U(y) ≥ U(z) since there is no preference or order specified.

Therefore, there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula.

C. The answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics because the choices made by the individual in this scenario do not adhere to the assumptions of utility maximization based on preferences.

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The complete question is:

Suppose X = {X, Y, Z}, And B = {B1 , B2 , B3} Where B1 = {X, Y}, B2 = {Y, Z} And B3 = {X, Z}. We Have The Following Information About An Individual’s Choice Function: C (B1) = {X}, C (B2) = {Y}, And C (B3) = {Z}, A. Show That C Satisfies Finite Nonemptiness And Choice Coherence. B. Show That There Does Not Exist A Utility Function U : {X, Y, Z} → R, That Can.

Suppose X = {x, y, z}, and B = {B1 , B2 , B3} where B1 = {x, y}, B2 = {y, z} and B3 = {x, z}. We have the following information about an individual’s choice function:c (B1) = {x}, c (B2) = {y}, and c (B3) = {z},A. Show that c satisfies finite nonemptiness and choice coherence.

B. Show that there does not exist a utility function U : {x, y, z} → R, that can produce these choices via the usual formula (discussed in class): c (Bn) = {x ∈ Bn : U (x) ≥ U (y) for all y ∈ Bn} , for n = 1, 2, 3.

C.Explain why your answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics.

The average study time of students is greater than 6.5 hours per week, at a significance level of 0.05.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To test the claim that students on average spend more than 6.5 hours studying, we can use a one-sample t-test.

The null hypothesis is that the mean study time is equal to 6.5 hours:

H0: μ = 6.5

The alternative hypothesis is that the mean study time is greater than 6.5 hours:

Ha: μ > 6.5

We can calculate the test statistic using the formula:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean (6.5), s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (7.2 - 6.5) / (2.8 / √120) = 3.18

Using a t-table with 119 degrees of freedom (df = n - 1), and a significance level of 0.05, the critical t-value for a one-tailed test (since we are testing for the mean being greater than 6.5) is 1.66.

Since our calculated t-value (3.18) is greater than the critical t-value (1.66), we can reject the null hypothesis.

Therefore, we have sufficient evidence to conclude that the average study time of students is greater than 6.5 hours per week, at a significance level of 0.05.

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Answer:

x ≥ 11

Step-by-step explanation:

x+7≥18

x ≥ 11

To solve on the number line.

We know it has =, so it will be a close circle to the right of 11.

The mean of the number of houses burglarized in this sample is 4.5 based on probability.

The probability of a house in an urban area being burglarized is 15%. This means that out of every 100 houses, 15 will be burglarized.

If 30 houses are randomly selected, we can use the binomial distribution to find the mean number of houses burglarized. The formula for the mean of a binomial distribution is:

Mean = n * p

where n is the number of trials (in this case, 30) and p is the probability of success (in this case, 0.15).

Substituting these values, we get:

Mean = 30 * 0.15
Mean = 4.5

Therefore, the mean number of houses burglarized out of 30 randomly selected houses is 4.5. Note that this is an expected value and may not represent the actual number of houses burglarized in any particular sample of 30 houses.
To find the mean of the number of houses burglarized, we can use the formula:

Mean = (Probability of success) x (Number of trials)

In this case:
- Probability of success (a house being burglarized) is 15%, or 0.15 as a decimal.
- Number of trials (randomly selected houses) is 30.

Using the formula, we get:

Mean = (0.15) x (30) = 4.5

So, the mean of the number of houses burglarized in this sample is 4.5.

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Answer:

V≈296.88

Step-by-step explanation:

V=πr2h

3=π·4.52·14

3≈296.88051

The overall answer of three parts :

The slope is positive. As the size of the home​ increases, the price should also increase.

(a) The variables and units in this regression are:

i) Size of homes ( x )  ( measured in \(ft^2\) )

ii) Selling price in ( y ) ( measured in dollars )

(b) Units of the slope will be :

unit of slope = dollar per square foot (i.e.  y / x )

(c) According to the above slope

The slope will be positive given that the increase of home size is directly proportional to the increase in price.

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The given question is incomplete, complete question is:

A random sample of records of sales of homes from February 15 to April 30, 1993, from the files maintained by the Albuquerque Board of Realtors gives the Price and Size (in square feet) of 117 homes. A regression to predict Price (in thousands of dollars) from Size has an R-squared of 71.4%. The residuals plot indicated that a linear model is appropriate.

Required:

a. What are the variables and units in this regression?

b. What units does the slope have?

c. Do you think the slope is positive or negative? Explain.

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Answer:

4 : 15

Step-by-step explanation:

total cars = 10 + 12 + 8 = 30 , then

yellow : total

= 8 : 30 ( divide both parts by 2 )

= 4 : 15 ( in simplest form )

Answer:

4 : 15 is the correct answer.

Step-by-step explanation:

10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.

Answer:

aw hope he gets better tell him I said hi

Answer:

Stay strong! I am praying for all of you and your family!

Answer:

-5

Step-by-step explanation:

\(gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

              =\(=\frac{-8-2 }{3-1}\)

             =-5

Hope it helps:)

\(\textsf{The gradient of a line passing through two}\)\(\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }\)

\(\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} \)

Here,

Putting Values:-

\(\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} \)

\(\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} \)

\(\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} \)

>>The gradient of the line segment is -5

In most situations, it would be reasonable to use a level .01 test with a sample size of 40,000 as it provides a high level of statistical power to detect smaller effects and reduce the likelihood of Type I error.

In most situations, it would be reasonable to use a level .01 test in conjunction with a sample size of 40,000. This is because a larger sample size provides more statistical power, meaning the test is more likely to detect a significant difference if one exists.

Additionally, a level .01 test is more conservative than a level .05 test, which reduces the risk of a type I error (rejecting the null hypothesis when it is actually true).

However, it is important to consider the context and specific research question being addressed, as well as potential confounding variables, to determine the appropriate statistical test and significance level for a given study.

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The defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3​-sigma  The upper control limit (UCL) is approximately 0.0450.

The upper control limit (UCL) for a 3-sigma control chart is given by:

\(\[UCL\) = defect rate + 3 * sqrt((defect rate * (1 - defect rate)) / sample size)

Substituting the values, where the defect rate is 1.50% (0.015) and the sample size is 200, we get:

\(\[UCL = 0.015 + 3 \times \sqrt{\frac{0.015 \times (1 - 0.015)}{200}}\]\)

Calculating this expression, we find:

\(\[UCL \approx 0.0450\]\)

Therefore, the upper control limit (UCL) is approximately 0.0450.

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Answer:

-3/2

Step-by-step explanation:

Answer:

the answer is 27 if you have to evaluate

"        "          "  3 cubed if you have to simplify

Step-by-step explanation:

To find the largest number of passengers in the tram, we need to calculate the maximum number of passengers who can go without a ticket.

Given that 12% of passengers go without a ticket, we can set up the following equation:

12% of x = 60

To solve for x, we can divide both sides of the equation by 0.12:

x = 60 / 0.12

x = 500

Therefore, the largest number of passengers in the tram, if it is not greater than 60, would be 500.

To find the largest number of passengers in the tram, we use the percentage given and set it equal to the number of passengers. By solving for x, we determine that the largest number of passengers in the tram is 500.

The largest number of passengers in the tram, if it is not greater than 60, is 500.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

x = 20.

Step-by-step explanation:

37x + 16 = 6(6x + 6)

Distribute.

37x + 16 = 36x + 36

Subtract 36x from both sides.

x + 16 = 36

Subtract 16 from both sides.

x = 20.

The solution is 20.

Proof

37x + 16 = 6(6x + 6)

37(20) + 16 = 6(6(20) + 6)

740 + 16 = 6(120 + 6)

756 = 6(126)

756 = 756.