the dot plots show the number of miles hiked by Fatima and by Paula over one week Miles Hiked by Fatim 5 ö- Miles Hiked by Paula 12 A. 9 10 12 How does the median number of miles hiked by Fatima compare to the median number of miles hiked by Paula? Show your work. B. How does the mean number of mies hiked by FRUma comDarc to the mean number miles hiked by Paula? Show your work.

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².

The figure formed by the arrow can be decomposed into a rectangle and a triangle.

The area of the composite figure = area of the rectangle + area of the triangle.

Find the area of the rectangle:

Length = 12 cm

Width = 11 cm

Area of the rectangle = (length)(width) = (12)(11)

Area of the rectangle = 132 cm²

Find the area of the triangle

Base = 11 cm

Height = 15 - 12 = 3 cm

Area of the triangle = 1/2(b)(h) = 1/2(11)(3)

Area of the triangle = 16.5 cm²

Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².

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The measure of the obtuse angle in the triangle is 108 degrees.

A triangle is a polygon with three sides. The total sum of the angles in a triangle is 180 degrees.

Therefore, the measure of the obtuse angle in the triangle can be found as follows;

An obtuse angle is an angle which is greater than 90° and less than 180°.

Hence, the angles of the triangle are 1x, 3x and 6x.

3x + 1x + 6x = 180

10x = 180

x = 180 / 10

x = 18

Therefore, the obtuse angle of the triangle is 6(18) = 108 degrees.

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Answer:

c) 108 on edgen

Answer:

y=-x+3 follows the same equation as y=mx+b

3 is b, and b is the y-intercept. The y intercept is where the line crosses on the y axis,  and -x is is m, which is the slope. However since its a variable, its point is on the same number as positive three on the y axis, so then its 3 on the x axis.

Step-by-step explanation:

Hope this helped

The average difference between the actual wait time and the guess of the same wait time as the previous one is approximately  5.5 minutes.

1. Calculate the difference between each wait time and the previous wait time:

Wait Time 1 - 0 = 0

Wait Time 2 - Wait Time 1 = 8.2 minutes

Wait Time 3 - Wait Time 2 = 4.3 minutes

Wait Time 4 - Wait Time 3 = 5.1 minutes

Wait Time 5 - Wait Time 4 = 6.5 minutes

2. Calculate the average of the differences:

Average Difference = (8.2 + 4.3 + 5.1 + 6.5) / 4 = 5.5 minutes

The average difference between the actual wait time and the guess of the same wait time as the previous one is approximately 4.5 minutes. This means that, on average, if you guess that each wait time will be the same as the previous wait time, it will be 4.5 minutes off from the actual wait time. To calculate this, we compared each wait time, except for the first one, to the previous wait time, and then calculated the average difference between the two. We found that the average difference was  5.5 minutes. This suggests that, if you guess that the wait time will be the same as the previous one, you can expect to be, on average,  5.5 minutes off from the actual time.

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The complete question is

f instead you guess that each waiting time will be the same as the previous waiting time, how many minutes would your guess differ from the actual time, averaging over every wait time except the first one an find average minutes?

Given the expression that models the tip amount for a total bill of $102:

You know that "x" represents the dollar amount of the tax.

You also know that Mr. Jaxon tips $23.50.

Therefore, knowing all that information, you can set up the following equation to represent that situation:

Now you have to solve for "x" in order to find its value:

Hence, the answer is:

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:

1/3

Step-by-step explanation:

first day work=1/2

work left=1-1/2=1/2

second day finished=1/3 ×1/2=1/6

work left =1/2-1/6=3/6-1/6=2/6=1/3

The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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Answer:

Step-by-step explanation:

Given equation:

Simplify, then solve:

Your answer is A. 49.

The lengths of the sides of the rectangles are;

a. (2•x + 3) and (x + 2)

b. (6•x + 2) and (x + 1)

c. (x + (2 + √3)) and (x + (2-√3))

The given functions are presented as follows;

a. 2•x² + 7•x + 6

By factoring of the above function we have;

2•x² + 7•x + 6 = (2•x + 3) × (x + 2)

The lengths of the sides of the rectangle are therefore;

b. 6•x² + 7•x + 2

The above function can be factored as follows;

6•x² + 7•x + 2 = (6•x + 2) × (x + 1)

The rectangle side lengths are;

c. x² + 4•x + 1

Using the quadratic formula, the above function can be factored to give;

x² + 4•x + 1 = (x + (2 + √3)) × (x + (2-√3))

The sides of the rectangle are therefore;

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As Malia walks her dog 140% of the distance walked by Tiara’s, so Tiara walks her dog less as compared to Malia’s. And the distance Tiara walks her dog is 5 miles.

Let us consider the distance covered by Tiara and Malia in walking their dogs be ‘x’ and ‘y’ respectively.

we have been provided with the value of ‘y’,  i.e.

                                               y = 7 miles

Now,

            Distance walked by Malia’s dog = 140% of the distance walked by Tiara’s dog

                                                               Or

                                                            y  = 140/100 × x

                                                            7   =  140/100 × x

Therefore,                                           x   =  100/140 × 7

                                                            x   = 5 miles

Hence, the distance Tiara walked her dog was 5 miles.

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Yes, Sage and Tom have the same number of talk minutes left in their cell phones. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The term "arithmetic operations" refers to the four basic mathematical operations that can be used to express any real number. Multiplication, division, addition, and subtraction are the four operations.

We are given that Sage and Tom both started the month with the same number of talk minutes on their cell phones.

So, let 'x' be the number of talk minutes on their cell phones.

Sage talked for 7 minutes with her dad.

So, talk minutes left in Sage's phone = x-7

Tom talked for 4 minutes with a friend and 3 more minutes with his mom.

So, talk minutes left in Tom's phone = x - (4 +3) = x -7

Hence, Sage and Tom have the same number of talk minutes left in their cell phones.

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The value of x in the given rhombus is 15.33.

To solve for x, we need to use the properties of a rhombus and the given angle measures. By applying the properties, we can find the value of x.

1. In a rhombus, opposite angles are congruent. Since ∠BAD is 130°, the opposite angle ∠BCD is also 130°.

2. The diagonals of a rhombus bisect each other at right angles. Therefore, ∠BAE and ∠DAE are right angles.

3. Since ∠BAE is a right angle, its measure is 90°.

4. According to the angle sum property of a triangle, the sum of the angles in a triangle is 180°. Therefore, in triangle ABE, we have:

∠BAE + ∠BAD + ∠DAE = 180°

90° + 130° + ∠DAE = 180°

5. Simplifying the equation:

220° + ∠DAE = 180°

6. Subtracting 220° from both sides of the equation:

∠DAE = 180° - 220°

∠DAE = -40°

7. In a rhombus, adjacent angles are supplementary. Therefore, ∠DAE and ∠BAE are supplementary angles.

8. ∠DAE + ∠BAE = 180°

-40° + 90° = 180°

9. Solving for ∠BAE:

50° = 180°

10. Subtracting -40° from both sides of the equation:

∠BAE = 180° - 40°

∠BAE = 140°

11. Now, we can set up an equation using the given angle measure and solve for x:

9x + 2 = 140°

12. Subtracting 2 from both sides of the equation:

9x = 138°

13. Dividing both sides of the equation by 9:

x = 138° / 9

14. Simplifying the fraction:

x = 15.33

Therefore, x is approximately equal to 15.33.

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Answer:

14.2

Step-by-step explanation:

In a rhombus, opposite angles are congruent. Therefore, ∠BAE is congruent to ∠BAD. Given that m∠BAE = 9x + 2 and m∠BAD = 130°, we can set up an equation to solve for x:

9x + 2 = 130

Now, subtract 2 from both sides of the equation:

9x = 128

Finally, divide both sides by 9:

x = 128 / 9

So, x is approximately:

x ≈ 14.22

Therefore, the value of x is approximately 14.22.

The quadratic equation (c+5)²=36 will give c = 1,-11.

A quadratic equation is a type of equation in algebra that involves a variable (usually denoted as "x") raised to the power of 2, or squared. The standard form of a quadratic equation is:

ax² + bx + c = 0

where a, b, and c are constants, with a≠0. The goal is to solve for the variable x, which may have one or two possible solutions depending on the coefficients of the equation.

Now,

To solve the equation (c + 5)² = 36:

Taking the square root of both sides of the equation

√(c + 5)² = ±√36

Simplify the left-hand side using the rule that √a² = |a|:

|c + 5| = ±6

Solve for c in each case by subtracting 5 from both sides of the equation:

c + 5 = 6 or c + 5 = -6

Solve for c in each equation:

c = 1 or c = -11

Therefore, the solutions to the equation (c + 5)² = 36 are c = 1 and c = -11.

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The situation that best describes when to declare results statistically significant is when the p-value is less than the significance level (typically denoted as α) and we reject the null hypothesis.

In hypothesis testing, the p-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value, assuming that the null hypothesis is true. It measures the strength of evidence against the null hypothesis.

The significance level (α) is a predetermined threshold that is used to determine if the observed result is statistically significant. It represents the maximum probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

If the p-value is smaller than the significance level (p < α), it indicates that the observed result is unlikely to have occurred by chance alone, and we reject the null hypothesis. This leads to the conclusion that the results are statistically significant, suggesting that there is evidence to support the alternative hypothesis.

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The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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If the stock of Company A lost $5. 31 throughout the day and ended at a value of $112. 69. The stock of Company A declined by 4.5% throughout the day.

The percentage decline in stock price is calculated by dividing the loss in value by the original value of the stock. To find out the percentage loss of stock A, we can use the formula:

(Loss in value / Original value) x 100%

Let us substitute the values we know:

Loss in value = $5.31

Original value = $118.00

Percent change = (5.31 / 118.00) x 100%

Percent change = 0.045 or 4.5%

Therefore, the stock of Company A declined by 4.5% throughout the day.

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Answer:

D. 100 cm^2

Step-by-step explanation:

i did this before so ik im right

Answer: B 100

Step-by-step explanation:

I just took it

Answer:

Step-by-step explanation:

-150x ≥ − 2,400 

\(\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)\)

\(\Longrightarrow x\ \leq \frac{-2400}{-150}\)

\(\Longrightarrow x\ \leq 16\)

===============

-336 ≥ − 21y

\(\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y\)

\(\Longrightarrow 16\geq y\)

\(\Longrightarrow y\geq 16\)

The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

We are given the vertices:

A(-4,4), B(2,-2), and C(-4,-2).

We need to find the perimeter of ABC.

AB = √ ( 2 + 4)² + (-2 - 4)²

AB = √ 6² + 6²

AB = √72

AB = 6 √2 units

BC = √ (-4 - 2)² + ( -2 + 2)²

BC = √ 6²

BC = 6 units

AC = √ ( -4 + 4)² + (-2 - 4)²

AC = √ 6²

AC = 6 units.

Perimeter = AB + BC + AC

Perimeter = 6 √2 + 6 + 6 units

Perimeter = 12 + 6 √2 units.

Perimeter = 12 + 6(1.414) units

Perimeter = 12 + 8.848 units

Perimeter = 20.848 units

Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

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To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

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1. Answer:

i dont know

Step-by-step explanation:

they didnt teach me this

2. Answer:

a7 means what ever a is you have to multiply it by 7

Step-by-step explanation:

When ever you see a letter infornt or followed by a number you always multiply it by the number.

3. Answer:

1, 5, 9, 13, 17, 21, 25, 29, 33, ect.

Step-by-step explanation:

Just keep adding four

5. Answer:

3, 7, 11, 15, 19, 23, 27, 31, ect.

Step-by-step explanation:

Just keep adding four

Answer:

1) A(n+1) = A(n) ÷ 2, A(1) = 50

2) 7 multiplied by a.

3) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, ....      (add 4 each time)

4) A(n+1)=A(n) x 3A(1)=2  

2, 5, 8, 11, 14

5) 3, 7, 11, 15, 19,...    A(n+1)=A(n)+4, A(1)=3

Step-by-step explanation:

The probability of winning a giveaway with 73 entries and 2 winners is the fraction 2/73.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 73

the event of winning = 2

probability of winning the giveaway = 2/73

This means that each winner has a 2/73 chance of winning the giveaway.

Therefore, the probability of winning a giveaway with 73 entries and 2 winners is the fraction 2/73.

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Answer:

45

Step-by-step explanation:

135 ÷ 3 = 45

1/3 = 45

2/3 = 90

3/3 = 135

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

After multiplying (1/3) with the given number 135:

One-third of 135 is 45

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

It can be written in the form of p:q, which is equivalent to p / q.

The given number is: 135

One of third can be represented as 1/3

Now to find one-third of 135 multiply it with 1/3

Therefore,

135 x (1/3)

= 135/3

= 45

Hence,

One-third of the number 135 is 45.

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The important to select the appropriate value of alpha based on the characteristics of the data and the goals of the forecasting model.

The statement "for a time series for simple exponential smoothing, a larger alpha is smoother than a shorter period" is true.

In simple exponential smoothing, the forecast for the next period is based on the previous forecast and the difference between the actual value and the previous forecast. The smoothing parameter alpha controls the weight given to the most recent observation compared to the previous forecasts.
A larger alpha places more weight on the most recent observation, resulting in a forecast that is more responsive to recent changes in the data. As a result, the forecast will exhibit less volatility or variability, making it smoother. This means that a larger alpha will lead to a more stable forecast with less fluctuation around the trend.
On the other hand, a smaller alpha places less weight on the most recent observation, resulting in a forecast that is less responsive to recent changes in the data.

As a result, the forecast will be more volatile or variable, making it less smooth. This means that a smaller alpha will lead to a forecast that is more susceptible to fluctuations around the trend.
In summary, the choice of alpha is a trade-off between stability and responsiveness to changes in the data. A larger alpha will lead to a smoother forecast, while a smaller alpha will lead to a more volatile forecast.

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For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.

The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.

When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.

Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.

Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.

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Answer:

5:30PM

Step-by-step explanation:

Bus A will leave at 4:00 and 90 minutes later is 5:30

Bus B will leave at 4:00, 4:30, 5:00, and 5:30