Formula for finding the selling price and cost price.

Sales tax is given, its either a whole number or a percentage.​

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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The number of ways in which we can make a sitting arrangements to meet the requirement is 1440.

= 5!⋅4⋅3

= 120⋅12

= 1440

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

It is easy to count the number of combinations in smaller cases, but the likelihood of a set of combinations is also higher in cases with many groups of components or sets. As a result, a formula has been developed to determine the number of items that could be chosen which is nCr.

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The answer is D. 70.

John's score on the fourth test was 70. This can be determined by calculating the total score John achieved on the first three tests and then finding the score required on the fourth test to achieve an average of 79.

To calculate John's score on the fourth test, we need to consider the average of his first three tests and the desired average after the fourth test.

Given that John averages 82 out of 100 on his first three tests, the total score on these tests would be 82 * 3 = 246.

To find the score on the fourth test that would result in an average of 79, we use the formula:

(246 + X) / 4 = 79

Where X represents the score on the fourth test.

Simplifying the equation:

246 + X = 316

X = 316 - 246

X = 70

Therefore, John's score on the fourth test was 70, as indicated by option D.

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Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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The probability that Steve will get a nine on the next card he is dealt is 4/47.  Steve and Cathy are playing a card game with a standard deck of 52 playing cards. After Cathy is dealt an ace and a four and Steve is dealt a jack, there are 49 cards left in the deck. Out of the remaining cards, there are three aces.

If Steve gets an ace on the next card he is dealt, he will win. The probability of this happening is 3/49, as there are three aces left in the deck out of a total of 49 cards remaining.

After Steve gets a two and Cathy gets a five, there are now 47 cards left in the deck. The probability of Steve getting a nine on the next card he is dealt is 4/47, as there are four nines left in the deck out of a total of 47 cards remaining.

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Answer:

biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.

This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

17.5 hour

Mean = (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours

The mean of the variable is calculated by multiplying the value of each individual category with its probability, and then summing the resulting values. In this case, the mean is calculated as (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours. This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

the complete question is :

Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.Weekly hours worked Probability5 0.1515 0.2820 0.3125 0.26Find the mean of this variable.

Weekly hours   worked Probability

5                              0.15

15                            0.28

20                           0.31

25                           0.26

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Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

The bearing of q to p is 270 degrees. The correct option is: d.

The bearing of q to p is the angle measured in degrees, starting from the north and moving clockwise, that indicates the direction of q from p.

Since q is 16 km due west of p, we know that the bearing of q to p is either 090 or 270 degrees.

If we assume that the north direction is at the top of the page, then the bearing of q to p is 270 degrees. This is because the angle starts at the north and moves clockwise to the west direction, which is 270 degrees.

Therefore, the correct answer is d) .

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The maximum wage that this perfectly competitive firm should pay to hire this worker = $80

The options for this question

A) $80 minus the firm's profit markup

B) It depends on what the going wage rate is in the labor market.

C) $80

D) There is insufficient information to answer the question.

now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker

given that

the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit

maximum wage = additional units × sold per unit

                          = 20 × 4 = 80

the maximum wage = $80

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Given:

IE || GH

EF ≅ HF

we need to prove

Δ EFI ≅ ΔHFG

The proof will be as follows:

Statements Reason

IE || GH Given

m∠ I = m∠G

IE

Answer:

12.5%

Step-by-step explanation:

Answer:

a) 5p (or 5q)

b) 5p ( or 5q)

c) 10p (or 10q)

Step-by-step explanation:

We will use the following information for solving and using the given figure

Preliminary computation

We have \(\overrightarrow{AB} = \overrightarrow{BC}\)

Therefore 4p + q = 5p

5p = 4p + q

5p-4p = q

p = q

\(\overrightarrow{AB} = 4p + q = 4p + p = 5p = 5q\\\)

So each side is 5p in length which is also equal to 5q since p = q

Part a

\(\overrightarrow{AO} = \overrightarrow{OA} = \overrightarrow{AB} = 5p\)  (same as 5q)

Part b

\(\overrightarrow{OB} = \overrightarrow{OA} = 5p\)   (same as 5q)

Part c
\(\overrightarrow{EB} = 2 \cdot \overrightarrow{OB} = 2 \cdot 5p = 10p\)   (also 10q)

Fractions can be evaluated, same way non fractions are evaluated

The result of the fraction expression \(\mathbf{\dfrac {9}m+4}\) is 7

The given parameters are:

\(\mathbf{\dfrac {9}m+4}\)

\(\mathbf{m = 3}\)

So, we have:

\(\mathbf{\dfrac {9}m+4}\)

Substitute 3 for m

\(\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}\)

Evaluate the division

\(\mathbf{\dfrac {9}m+4 = 3+4}\)

Add 3 and 4

\(\mathbf{\dfrac {9}m+4 = 7}\)

Hence, when m equals 3, the result of the fraction expression \(\mathbf{\dfrac {9}m+4}\) is 7

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

451.87 knots.

Step-by-step explanation:

Hope this helps

The average speed of the plane is 520 Knots.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled 390 nautical miles and t is 45 mins or 0.75 hours

Thus speed of the plane is = 390/0.75

                                             = 520

Hence, The average speed of the plane is 520 Knots.

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Answer:

f(x) ≥ 0

In interval notation Range:  [0, ∞]

Step-by-step explanation:

Regardless of the value of x, |x+5| ≥ 0 and there is no upper bound on f(x)

Answer: C

Step-by-step explanation: Got it right for my test

Answer:

Students in her classes At the beginning of the semester, but 13 students withdraw from her classes before Test three. So now she has 150 students. If she has one classes in total, in each class has an equal number of students. How many students are in each class round your answer to the nearest ones? Well, first of all, if she only has one class, then there's 150 students in that class is or class, this is the middle school math teacher signing out.

lazyuser30

Answer:

The answer I think is

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

just put 21 ok that is the right answer

Answer:

r=21 (the second dot)

Step-by-step explanation:

To find r/3=7 we have to multiply 3*7

3*7=21

So r=21 because 21/3=7    

Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = \((7 * 6)/2\)

                   = 21

  Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.

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Answer:

Equation for variation is (by using y=k/x) if c is y and d is x, 17=k/2. If c is x and d is y, 2=k/17.

If c were 68, the answer for d is 136.

Step-by-step explanation:

When it comes to them varying inversely, we use y=k/x. If it were to vary directly, it would be y=kx. X and Y could be either C or D since either way would equal the same answers. C can be x, and D can be y. Given that y=k/x, we can plug in the values. 17=k/2 is the equation we have to show the variation. Solving for k, we can use inverse operations to isolate for k, multiply 2 by both sides. 17•2=34, and k=34. If c were to be 68, 68=k/2, 68•2=136. 136 would be D in that circumstance. In case I am wrong, I apologize. Wishing you the best of luck, and have agreat nught

To compute the given probabilities involving the standard normal random variable z, we can use the standard normal distribution table.

To find the probability P(−1.98 ≤ z ≤ 0.45), we need to look up the corresponding values in the standard normal distribution table. The table provides the area under the standard normal curve up to a given z-value.

First, we find the area to the left of z = −1.98 in the table, which is 0.0239. Then, we find the area to the left of z = 0.45, which is 0.6736. To find the desired probability, we subtract the smaller area from the larger one: P(−1.98 ≤ z ≤ 0.45) = 0.6736 - 0.0239 = 0.6497.

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2(5×2+2×2+2×5)

ans- 48cm²

It is true about Marcy's survey that she wants to study all visitors of the library and due to this, her sample is not representative.

Marcy's study focuses on determining the type of books that visitors prefer to borrow. Based on this, Marcy is studying the preferences of all the visitors to the library.

The sample selected is not representative because she is only considering those that go to the children's room on a specific day and time of the week rather than all the visitors.

Based on this, it can be concluded her population is all visitors and the sample is not representative.

Note: This question is incomplete because the options are missing; due to this, I answered it based on general knowledge.

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Answer: Look at the explanation

Step-by-step explanation:

Note that I think it is the question in the math book.

Its says... (from what I see in my book)

A) Marcy’s sample is not a representative sample because not all of the  library’s visitors go to the children’s reading program.

B) Marcy’s sample is a represnetative sample of the population.

C) Marcy will get a random sample by surveying as many people in the children’s reading room as possible.

D) The population of Marcy’s study consits of all visitors of the public library.

E) The results of Marcy’s survey include a mode, but niether a mean nore a median.

The answers that are true are

A

D

E

Why?

Let’s take letter b for example. It says that Marcy’s sample is a representative sample of the population. This is wrong because she asked all the people in the children’s reading room and that is not the whole population

*Note that the whole population is the people in the library*

Marcy needs to ask people who are in and not in the children’s reading room.

I am not sure if this is correct but I hope this helps with your question.

Will someone tell me if this is correct please?

Answer:

you should get 30 as an answer

Step-by-step explanation:

9*5=45

3*5=15

45-15=30

Answer:

24 boys & 20 girls

Step-by-step explanation:

Last year:

Number of boys = x

Total number = 45

Number of girls = 45 - x

An increase of 20% is the same as multiplying by 1.2

A decrease of 10% is the same as multiplying by 0.8

This year:

New number of boys: 1.2x

New number of girls: 0.8(45 - x)

New total number = 45 - 1 = 44

1.2x + 0.8(45 - x) = 44

1.2x + 36 - 0.8x = 44

0.4x + 36 = 44

0.4x = 8

x = 20

Last year there were 20 boys and 25 girls.

This year there are 20 * 1.2 = 24 boys

and 44 - 24 = 20 girls

Answer: 24 boys & 20 girls

Answer:

a = r + d - c

Step-by-step explanation:

a + c = r + d

You want a alone on the left side. c is being added to a.

To get rid of the c, you must subtract c from the left side, but the rule of equations is that you must do the same operation to both sides of the equation. We subtract c from both sides of the equation.

a + c - c = r + d - c

c - c = 0, so the c is eliminated from the left side.

We now have

a + 0 = r + d - c

a = r + d - c

Answer:

a = r + d - c

Step-by-step explanation:

All we do is transpose c to the other side to isolate a.

The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.

For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.

In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.

We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.

A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.

This characteristic of the normal distribution makes it extremely simple.

Also, the normal distribution is important because of the Central limit theorem.

It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.

So, the normal distribution have an importance in statistics of whether or not out appears in nature.

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