Solve equation.

15+6 n=4 n+23

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

It should be noted that since the combined dimension of the eigenspaces of A is 5 and there are only 2 eigenvalues, A cannot be diagonalizable.

A 2x2 matrix can have at most 2 distinct eigenvalues. Since A has eigenvalues λ₁ = 2 and λ₁ = -7, these must be the only two eigenvalues.

The algebraic multiplicity of an eigenvalue is the number of times that eigenvalue appears in the characteristic polynomial of the matrix. In this case, the algebraic multiplicity of λ₁ = 2 is 2 and the algebraic multiplicity of λ₁ = -7 is 3. This means that the characteristic polynomial of A must be of the form (t-2)^2(t+7)^3.

The dimension of the eigenspace associated with an eigenvalue is equal to the algebraic multiplicity of that eigenvalue. In this case, the dimension of the eigenspace associated with λ₁ = 2 is 2 and the dimension of the eigenspace associated with λ₁ = -7 is 3. This means that the combined dimension of the eigenspaces of A is 5.

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

8

Step-by-step explanation:

56 divided by 7 is 8

Answer:

The answer is 8 days :)

To find the total number of possible sandwiches, we need to multiply the number of choices for each ingredient.

Let's assume that the sandwich shop offers the following choices:

- 1 type of bread

- 1 protein option

- 1 cheese option

- 2 vegetable options

Then, the total number of possible sandwiches can be calculated as:

1 (bread) x 1 (protein) x 1 (cheese) x 2 (vegetables) = 2

Therefore, there are 2 possible sandwiches that can be made at this submarine sandwich shop, assuming that customers can only choose one type of bread, one protein option, one cheese option, and two vegetable options for their sandwich.

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Answer: -10 :))))

i hope this helps

48 heads because half of 96 is 48 and there should be 48 heads and 48 tails.

Answer:

figure

Step-by-step explanation:

it out urself

thanks

The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:

Percentage Change in Bond Price = - (Duration * Change in Yield)

Given:

Duration = 7.29 years

Change in Yield = -0.005 (50 basis points decrease)

Using the formula, we can calculate the percentage change in the bond's price:

Percentage Change in Bond Price = - (7.29 * (-0.005))

Percentage Change in Bond Price = 0.03645

Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

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You have the following list of numbers:

7, 6, 3, 5, 1, 9, 8

In order to determine which of the previous numbers are prime numbers, you consider that a prime number is a number greater than 1, that ONLY can be divided by itself and 1 (to obtain a whole number).

Due to the previous definition, yuo can notice that from the list of numbers, there are three prime number: 7, 3, 5,

The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

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Answer:

Step-by-step explanation:

\(12x + 19 + 22x - 9 = 180\)

\(12x + 22x = 180 - 19 + 9\)

\( \frac{34x}{34} = \frac{170}{34} \)

\(x = 5\)

hope it helps....

For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50 is False.

For a standardized normal distribution, the probabilities are symmetric around the mean of zero. The probability that Z is greater than a positive value, such as 1.50, is less than the probability that Z is greater than a larger positive value, such as 2.50.

In other words, the probability of being in the right tail of the distribution decreases as we move further away from the mean. Therefore, the probability that Z is greater than 1.50 is greater than the probability that Z is greater than 2.50.

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After the partitioning algorithm has completed, the low partition would be (27, 56, 46, 57) and the high partition would be (99, 77, 90).

Explanation: In the quicksort algorithm, partitioning is an important step. The partition algorithm in quicksort chooses an element as a pivot element and partition the given array around it.

In this way, we will get a left sub-array that consists of all elements less than the pivot, and the right sub-array consists of all elements greater than the pivot. If the pivot element is selected randomly, then quicksort performance would be O(n log n) in the average case.

In the given question, the given numbers are (27, 56, 46, 57, 99, 77, 90), and the pivot element is 77.To partition this array, the following steps are followed.

1. The left pointer will point at 27, and the right pointer will point at 90.

2. Increment the left pointer until it finds an element that is greater than or equal to the pivot element.

3. Decrement the right pointer until it finds an element that is less than or equal to the pivot element.

4. If the left pointer is less than or equal to the right pointer, swap the elements of both pointers.

5. Repeat steps 2 to 4 until left is greater than right.

In the given question, the left pointer will point at 27, and the right pointer will point at 90. Incrementing the left pointer will find the element 56, and the decrementing the right pointer will find the element 77.

As 56 < 77, swap the elements of both pointers. In this way, partitioning continues until left is greater than right. Now, the array will be partitioned into two sub-arrays.

The left sub-array will be (27, 56, 46, 57), and the right sub-array will be (99, 77, 90).

So the low partition is (27, 56, 46, 57), and the high partition is (99, 77, 90).

Therefore, the answer is: low partition (27, 56, 46, 57) and high partition (99, 77, 90).

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Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].

Given the following coordinates:

Midpoint of GH --> m(-13/2,-6) = (x, y)

One endpoint ---> G(-4, 1) = (x1, y1)

The other endpoint ---> (x2, y2)

Plug in the values into the formula used in calculating the midpoint:

m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]

Solve for x2

-13/2 = (-4 + x2)/2

-13/2 × 2 = -4 + x2

-13 = -4 + x2

-13 + 4 = x2

-9 = x2

x2 = -9

Solve for y2

-6 = (1 + y2)/2

2(-6) = 1 + y2

-12 = 1 + y2

-12 - 1 = y2

-13 = y2

y2 = -13

Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

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The account balance after 40 years, with continuous compounding and monthly payments of $1,000, is approximately $23,845.825.

To compute the account balance after 40 years, we can use the formula for the future value of a continuous compounding account:

A = P * e^(r * t)

Where:

A is the account balance after time t,

P is the monthly payment (also known as the principal),

e is the base of the natural logarithm (approximately 2.71828),

r is the interest rate per year (expressed as a decimal),

t is the time period in years.

In this case, the monthly payment is $1,000, the interest rate is 8% per year (or 0.08 as a decimal), and the time period is 40 years.

Let's calculate the account balance:

P = $1,000

r = 0.08

t = 40

A = 1000 * e^(0.08 * 40)

Using a calculator or software that supports exponentials, we can compute:

A ≈ 1000 * e^(3.2)

A ≈ 1000 * 23.845825

A ≈ $23,845.825

Therefore, the account balance after 40 years, with continuous compounding and monthly payments of $1,000, is approximately $23,845.825.

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Answer:

The probability of taking either one job or the other job can be calculated by adding the probabilities of taking the first job and taking the second job, and then subtracting the probability of taking both jobs (since we cannot take both).

Let A be the event of taking the first job, and B be the event of taking the second job. Then, the probability of taking the first job is P(A) = 0.5, and the probability of taking the second job is P(B) = 0.4. The probability of taking both jobs is zero, since we cannot take both.

Therefore, the probability of taking either one job or the other job is:

P(A or B) = P(A) + P(B) - P(A and B)

= 0.5 + 0.4 - 0

= 0.9

So the probability of taking either one job or the other job is 0.9 or 90%

Answer:

86 in.

Step-by-step explanation:

The annual income of Juan Vance is $12,955.17.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

In order to pay for Social Security and Medicare, the Federal Insurance Contributions Act(FICA) mandates payroll deductions from both employers and employees.

Given, Juan Vance's Weekly salary is $231.67.

∴ Annually Juan earns $(52×231.67) = $12,046.84.

FICA deducts 7.51% from it and then combines another 7.51% with the employee,

∴ The net annual income of Juan Vence is

= [{12046.84 - (7.51/100)×12046.84 + {(7.51 + 7.51)/100}×12046.84}]

= (12046.84 - 904.71 + 1813.04}.

= $12,955.17

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Answer:

36

Step-by-step explanation:

Answer:

G(6)=13

Step-by-step explanation:

G(6)=2(6)+1 or G(6)=12+1 which is 13 hope this helps ur welcome

Answer:

12

Step-by-step explanation:

g(6)=2(6)+1

=12+1

=13

The unit which is used to measure the attribute under investigation is inches.

Given a histogram which shows the height of the adults in male.

Here in the X axis, the height in inches are marked starting from 66 to 74.

In the Y axis, the number of people who have a specified height is given.

Here we have to find the unit which is used to measure the attribute under investigation.

For that, first we have to find the attribute under investigation.

Here the point of graphing this is to find the height of the people.

So attribute under investigation is the height of the people.

So the unit is that of the unit used to measure the height.

Here the unit is inches.

Hence the unit used is inches.

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Given:

Total produce = 80 liters

15% Acid solution and 25% acid solution

Find-:

How many litres of each

Explanation-:

Let

Total 80 litres

eq(2) - 3eq(1) is:

So, the value of "y" is:

So x is 40

Then,

Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.

Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060

Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined

Visits to Cool Beans should be 2,060

Current Visits =548

Additional visits =2,060-548 i.e. 1,512 visits

Note for better understanding:

same or the demand of coffee will remain same, then the Additional people will be calculated as:

Total number of visits = 584+840+1,220  i.e. 2,608

Target number of visits =50 % of total visits i.e. 1,304 visit

Additional visits = 1,304-548 = 756 visits

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El costo de los lentes de sol es de $85 y el costo de las sandalias es de $79.

Para determinar el costo de los lentes de sol y las sandalias, podemos plantear un sistema de ecuaciones basado en la información proporcionada. Sea "x" el costo de un par de lentes de sol y "y" el costo de un par de sandalias.

De acuerdo con los datos, tenemos la siguiente ecuación para Teresa:

x + y = 164.

Y para Gaby, tenemos:

2x + y = 249.

Podemos resolver este sistema de ecuaciones utilizando métodos de eliminación o sustitución. Aquí utilizaremos el método de sustitución para despejar "x".

De la primera ecuación, podemos despejar "y" en términos de "x":

y = 164 - x.

Sustituyendo este valor de "y" en la segunda ecuación, obtenemos:

2x + (164 - x) = 249.

Simplificando la ecuación, tenemos:

2x + 164 - x = 249.

x + 164 = 249.

x = 249 - 164.

x = 85.

Ahora, podemos sustituir el valor de "x" en la primera ecuación para encontrar el valor de "y":

85 + y = 164.

y = 164 - 85.

y = 79.

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The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie can be calculated using the following formula:
Confidence Interval = Sample Proportion ± Margin of Error

First, we need to calculate the sample proportion. In this case, the sample proportion is equal to the percentage of respondents who chose chocolate pie, which is 48%.

Sample Proportion = 48% = 0.48

Next, we need to calculate the margin of error. The margin of error depends on the confidence level and the sample size. In this case, the confidence level is 90%, which corresponds to a z-score of 1.645 (obtained from a z-table). The sample size is 22.

Margin of Error = z * sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
                = 1.645 * sqrt((0.48 * (1 - 0.48)) / 22)
                = 0.229

Now we can calculate the confidence interval.
Confidence Interval = Sample Proportion ± Margin of Error
                          = 0.48 ± 0.229
                          = (0.251, 0.709)

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie is (0.251, 0.709) at a 90% confidence level.

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To calculate Ricky's IRA balance at retirement, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt),\) where A is the ending balance, P is the principal (monthly deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Janelle needs to determine the monthly deposit required to achieve her retirement goal. Using the formula for future value of an ordinary annuity, FV = P((1 + r)^n - 1) / r, where FV is the future value (target retirement savings), P is the monthly deposit, r is the interest rate per period, and n is the number of periods, we can solve for P.

Pete's monthly pension can be calculated by multiplying his years of service by the retirement benefit offered per year of service.

a) To find Martina's career average salary, we sum up her salaries over the 24 years and divide by 24.

b) Martina's annual pension is calculated by multiplying her career average salary by 2.35% and then multiplying it by the number of years employed.

c) Martina's monthly pension benefit can be found by dividing her annual pension by 12.

By applying the appropriate formulas and calculations to each scenario, we can find the desired values for Ricky's IRA balance, Janelle's required monthly deposit, Pete's monthly pension, Martina's career average salary, annual pension, and monthly pension benefit, as well as the number of months Rose's cash value can pay the premium.

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As per the given box plot, on 6th day island is more likely to have a wind speed close to its median.

The term box plot in math referred as the method of  visually show the distribution of numerical data and skewness through displaying the data quartiles and averages.

Here we have given the figure attached that contains the box plots show the average wind speeds, in miles per hour, for two different islands Here the Country A is placed on the top of the line where as Country B on the bottom of the line.

While we looking into the box plot we have identified that the median of Country A is 4 and the center of the box is 5

And the the median of Country B is 6 and the center of the box is 6.5.

Through this we have identified that the resulting day is 6 day.

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The box plot would show the distribution of Tori's training runs and provide insights into the Central tendency and variability of the data.

A box plot, also known as a box-and-whisker plot, is a visual representation of the distribution of a dataset. It shows the median, quartiles, and range of the data. The median is the middle value of the dataset, the first quartile is the value that separates the lowest 25% of the data from the rest, and the third quartile is the value that separates the lowest 75% of the data from the rest. The range is the distance between the minimum and maximum values of the data.

To create a box plot for Tori's training runs, you would first order the data from smallest to largest: 6, 7, 8, 8, 11, 12, 13, 15, 16, 16, 20. Then, you would find the median (the middle value), which is 12.5. Next, you would find the first quartile (the value that separates the lowest 25% of the data from the rest), which is 8, and the third quartile (the value that separates the lowest 75% of the data from the rest), which is 16. Finally, you would calculate the range (the distance between the minimum and maximum values), which is 14 (20 - 6).

To draw the box plot, you would draw a rectangle with the bottom edge at the first quartile and the top edge at the third quartile. Inside the rectangle, draw a line at the median. Then, draw whiskers (lines) from the edges of the rectangle to the minimum and maximum values of the data (6 and 20). Any outliers (values that are more than 1.5 times the interquartile range away from the nearest quartile) can be plotted as individual points outside of the whiskers.

Without a visual representation of the data, it is difficult to say which box plot represents the data. However, the box plot would show the distribution of Tori's training runs and provide insights into the central tendency and variability of the data.

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