Mrs. Maxwell works as a travel agent for Universal Travel, Inc. She is paid a salary of
$1,400 a month and a 5% commission. If Mrs. Maxwell sold $14.750 for Universal
Travel, how much did she earn last month?

Answer:

Total area of paint = 110 ft²

Step-by-step explanation:

Given:

Measurement of wall = 10 feet tall by 13 feet wide

Measurement window = 2.5 feet wide by 4 feet tall each

Find:

Total area of paint

Computation:

Total area of paint = Area of wall - 2[Area of window]

Total area of paint = [10 x 13] - 2[2.5 x 4]

Total area of paint = [130] - [20]

Total area of paint = 110 ft²

The area of the wall Brenda is going to paint = 110 sq. ft.

Recall:

Given:

Measurement of the wall = 10 feet tall by 13 feet wide

Area of the wall = 10 × 13 = 130 sq. ft

Measurement of a window = 2.5 feet wide by 4 feet tall

Area of a window = 2.5 × 4 = 10 sq. ft

The windows won't be painted, therefore, the area of the wall that Brenda is going to paint = Total area of the wall - 2(Area of a window)

Area of the wall to be painted = 130 - 2(10)

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Answer:

Step-by-step explanation:

Given:

Work:

Hence, the solution of the expression is 19.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

19

Step-by-step explanation:

7 + q (r − 8) 2

7 + q (10 - 8) 2

7 + q * 2  * 2

7 + 3 * 2 * 2

7 + 6 * 2

7 + 12

19

To calculate the increase in temperature of the embedded bullet, we can use the equation:

ΔQ = mcΔT

where ΔQ is the heat energy transferred to the bullet, m is the mass of the bullet, c is the specific heat capacity of the bullet material, and ΔT is the change in temperature.

In this case, we are given that half of the heat energy generated remains in the bullet, so we can assume that ΔQ is equal to half of the total heat energy generated.

First, we need to calculate the total heat energy generated by the bullet using the equation:

ΔQ_total = 0.5 * (0.5 * m * v^2)

where m is the mass of the bullet and v is the velocity of the bullet.

Next, we divide the total heat energy generated by the specific heat capacity of the bullet material to obtain the change in temperature:

ΔT = ΔQ_total / (m * c)

Substituting the given values into the equation and performing the calculations will give us the increase in temperature of the embedded bullet.

By following these steps, we can determine the increase in temperature of the bullet.

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The selection chances and the required probability for 9 women and 6 men is given by ,

Different groups of applicants selection = 3003

Selection of trainee entirely of women = 126

Probability of selection of entirely women from 15 people = 4.19%

Total number of women = 9

Total number of men = 6

Total = 9 + 6

        = 15

The total number of groups of applicants that can be selected for the positions can be calculated using the combination formula,

nCr = n! / r!(n-r)!

where n is the total number of applicants (15),

And r is the number of positions to be filled (5).

Number of different groups of applicants that can be selected for the positions is,

15C5

= (15! )/(15-5)!5!

=(15! )/(10)!5!

= 3003

Number of different groups of trainees that consist entirely of women can be calculated by selecting 5 women from the 9 available,

9C5

= (9! )/(9-5)!5!

=(9! )/(4)!5!

= 126

Probability of selecting a group of five trainees ,

Consist entirely of women can be calculated by dividing the number of different groups of all-women trainees (126) by the total number of different groups of trainees (3003),

Required probability

= 126/3003

≈ 0.0419

Probability that the trainee class will consist entirely of women is approximately 0.0419, or 4.19% (rounded to four decimal places).

Therefore, for a group of 15 people,

Selection of different groups of people = 3003

Selection of trainee represents entirely women =126

probability of selecting entirely women = 4.19%

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The value of the yakubu and bello business is N80,000.

Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.

The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.

Now, let's assume the value of the business is represented by "V" (to be determined).

Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.

The value of 9/4 parts of the business is N180,000, so we can set up the following equation:

(9/4) * V = N180,000

To solve for V, we multiply both sides of the equation by 4/9:

V = (4/9) * N180,000

V = N80,000

Therefore, the value of the business is N80,000.

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Answer:

give me brainly then i awnser

Step-by-step explanation:

The number of permutations of the set {1, 2, . . . , n} with n elements is n!, for natural number n ≥ 1 fir given set A = {1, 2, 3, ....n},the number of permutations of set A with n elements.

Let n be a natural number greater than or equal to 1.

Let A = {a_1, a_2, . . . , a_n} be a set with n distinct elements.

We wish to find the number of permutations of A.

The number of ways to choose the first element of the permutation is n.

The number of ways to choose the second element, once the first element has been chosen, is n − 1.

The number of ways to choose the third element, once the first two elements have been chosen, is n − 2.

Continuing in this way, we see that there are n(n − 1)(n − 2) ··· 3 · 2 ·

1 ways to choose all n elements in a sequence, that is, there are n! permutations of A.

Therefore, we have proved that the number of permutations of the set {1, 2, . . . , n} with n elements is n!, for natural number n ≥ 1.

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Answer:

5.k=3

7.p=4

Step-by-step explanation:

5.7=2k+1

7=2k+1 subtract 1 on both sides

6=2k divide by 2 on both sides

k=3

7. 11=4p-5

11=4p-5 add 5 to both sides

16=4p divide by 4 on both sides

p=4

Answer:

5: k=3  

7: p=4

Step-by-step explanation:

5: sub 1 from each side divde by 2

7: add 5 to both sides  divide each side into 4

Statistical Process Control (SPC) is a methodology used in quality management to monitor and control processes. It involves the application of statistical techniques to measure.

Statistical Process Control (SPC) is a powerful tool used to monitor and control processes in various industries. It utilizes statistical techniques to analyze process data, identify trends, and make informed decisions to improve process performance.

The primary objective of SPC is to ensure that a process operates within its specified limits and meets the desired quality standards. SPC involves the collection.

Analysis of data over time to understand process behavior and make necessary adjustments to maintain control. By monitoring and controlling the process variation, SPC helps to reduce defects and improve overall quality.

The key components of SPC include:

1. Control Charts: Control charts are graphical tools used to plot process data over time. They provide a visual representation of process variation and help identify when a process is in or out of control.

Control charts have upper and lower control limits that define the acceptable range of variation. Any data points outside these limits indicate special causes of variation that require investigation and action.

2. Data Collection and Analysis: SPC requires the collection of accurate and representative data. Data is collected at regular intervals and analyzed using statistical techniques such as mean, range, standard deviation, and process capability analysis.

These analyses help understand process performance, identify trends, and evaluate the capability of the process to meet customer requirements.

3. Process Monitoring and Improvement: SPC enables real-time process monitoring and provides timely feedback on process performance. It helps identify and address issues before they lead to defects or non-conformances.

By detecting trends or shifts in process performance, SPC allows for proactive intervention to maintain control and prevent quality problems.

4. Continuous Improvement: SPC is a fundamental aspect of a continuous improvement culture. By regularly monitoring process data, analyzing performance, and making data-driven decisions, organizations can identify areas for improvement and implement targeted changes to enhance process efficiency and quality.

Statistical Process Control (SPC) is a systematic approach to monitor and control processes using statistical techniques. It helps organizations maintain control, reduce defects, and improve overall quality by analyzing process data, identifying sources of variation, and making data-driven decisions.

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Answer:

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 lengths of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Using trigonometric functions :

From the problem, we have a hypotenuse of 22.25 cm and an angle of 31°28'

To find A, we will use the sine function :

To find B, we will use the cosine function :

The total length is the sum of A and B :

A + B = 11.615 + 18.978 = 30.59

The answer is 30.59 cm

Answer:

-121 7/24

Step-by-step explanation:

Answer:

this is your answer look it once

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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Law of Syllogism

Law of Detachment

Sources: https://www.storyofmathematics.com/law-of-detachment/

https://study.com/academy/lesson/law-of-syllogism-in-geometry-definition-examples.html

Refer to the attachment

At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.

To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.

So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.

Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.

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Answer:

E. 7

Step-by-step explanation:

General form of exponential equation:  \(y=ab^x\)

where \(a\) is the initial value, \(b\) is the growth/decay rate, and \(x\) is time.

Given:

⇒ \(y=100 \cdot 1.25^x\)

If y = 500, then:

\(\implies 500=100 \cdot 1.25^x\)

\(\implies 5=1.25^x\)

\(\implies \ln5=\ln1.25^x\)

\(\implies \ln5=x\ln1.25^\)

\(\implies x=\dfrac{\ln5}{\ln1.25}\)

\(\implies x=7.212567439...\)

\(\implies x \approx7\)

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) = 0.14. The correct option is a.

To find the probability of event B, we can use the formula:

P(B) = P(A and B) + P(A' and B)

where A' represents the complement of event A.

Using the given information, we can calculate:

P(A and B) = P(B | A) * P(A) = 0.35 * 0.4 = 0.14

P(A' and B) = P(A ∪ B) - P(A) = 0.69 - 0.4 = 0.29

Therefore,

P(B) = P(A and B) + P(A' and B) = 0.14

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Answer:

1.5 hours or 90 minutes

Step-by-step explanation:

384 km: 4 hours

divide both sides by 4

96 km: 1 hour

multiply both sides by 1.5

144 km: 1.5 hours

Answer:

it will take 1.5 hrs as u multiply 144 with 4 and divide by 384

The statement that can be concluded from the triangle is A. RS/VU=ST/UT and ∠S≅∠U.

The Side-Angle-Side Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

In this problem the included angle is ∠S≅∠U, therefore side RS must be proportional to side VU  and side ST must be proportional to side UT

Hence, RS/VU=ST/UT.

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Answer:

Step-by-step explanation:

A 11-gon has 11 vertices and 11 sides.

From a common vertex we can have 11 - 2 - 1 = 8 diagonals.

We considered 2 + 1 = 3 vertices already used as one- vertex itself and two- the vertices it already connected.

The number of possible triangles is the number of diagonals plus one:

88 triangles can be formed from an 11-gon using diagonals from a common vertex.

What is the diagonal?

A diagonal is a line segment connecting two non-adjacent vertices in a polygon, typically a quadrilateral. It can also refer to a line segment connecting two opposite corners in a two-dimensional figure, such as a rectangle or parallelogram.

An 11-gon has 11 vertices. From a single vertex, we can draw 8 diagonals to the other vertices of the polygon. Each diagonal connects this vertex to a non-adjacent vertex.

Using a single diagonal, we can form a triangle with the vertex and two non-adjacent vertices connected by the diagonal. Thus, there are 8 triangles that can be formed from a single vertex using a diagonal.

Since there are 11 vertices, we can choose any one of them as the common vertex, giving us a total of 11 choices. Therefore, the total number of triangles that can be formed from an 11-gon using diagonals from a common vertex is:

8 triangles/vertex × 11 vertices = 88 triangles.

Hence, 88 triangles can be formed from an 11-gon using diagonals from a common vertex.

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Answer:

Step-by-step explanation:

Based on the given conditions, formulate: 2500 x (1 - 8%)

Evaluate the equation/expression: 2300

get the result:2300

Answer: 2300

The number of passes that John has attempted this year will be 500.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's attempted this year.

Let 'y' be the total passes that John attempted. Then the equation is given as,

0.70 = (350 / y)

y = 350 / 0.70

y = 500

The number of passes that John has attempted this year will be 500.

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Answer:

17

Step-by-step explanation:

hope it helps

Answer:

The value of the expression when k = 40 is 17.

Step-by-step explanation:

Please give the person that answered before me the brainiest because they deserve it, I just used their answer so you could choose brainiest.

Answer:  \(a_n = 2n+5\)

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

Work Shown:

\(a_n = a_1 + d(n-1)\\\\a_n = 7 + 2(n-1)\\\\a_n = 7 + 2n-2\\\\a_n = 2n+5\\\\\)

--------------------

Explanation:

We plug in \(a_1 = 7 \ \text{ and } \ d = 2\) as they represent the first term and common difference in that order. The common difference is 2 because the number of chairs increases by 2 each time you move up a row.

To verify that answer, let's plug in the value n = 1

\(a_n = 2n+5\\\\a_1 = 2(1)+5\\\\a_1 = 2+5\\\\a_1 = 7\\\\\)

Which matches with the first term being 7. I'll let you verify other terms.

Let's denote the third side of the triangle as "x".

We know that the perimeter of a triangle is the sum of its three sides, so we can write an equation:

12.125 + 12.125 + x = 37.5

Simplifying the left side, we get:

24.25 + x = 37.5

Subtracting 24.25 from both sides, we get:

x = 13.25

Therefore, the third side of the triangle measures 13.25 yards.

Answer:

12.125 + 37.5 =49.625

Step-by-step explanation:

i say this because multiplying and dividing make 0 sense

By looking at the point where the lines intersect, we can see that the solution of the system is (-1, 1).

When we have a system of equations, one way of solving it is by graphing both equations in the same coordinate axis, and then finding the points where the two graphs intercept.

Here we can see two graphs of lines (so we have a system of linear equations), and we can see that they intercept at the point (-1, 1), which means that the solution of the system is that point.

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