Solve -5 (4-3n) =10 (n-2)

The total number of books completed by 2:45 pm will be 42.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when the librarian starts downloading new books at 11:00 am, there are 15 already loaded. When she checks at noon, there are 25 books completely loaded.

The number of books loaded in 1 hour is calculated as,

N = 25 - 15

N = 10 books

Now from 12 noon to 2:45 pm, the time in hours will be,

T = 165 minutes or 165 / 60 = 2.75 hours

The equation for the number of books loaded will be written as,

y = 15 + 10T

y = 15 + ( 10 x 2.75)

y = 15 + 27.5

y = 42.5 or 42

The completely loaded books are 42 in number.

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Answer:

86

Step-by-step explanation:

Radius=Circumference/Pi

135.02/3.14=43

Diameter=2r

43x2=86

Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.

The function is an increasing function. The graph that represents the table will be A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The table is given below.

Week     Number of sales

  1                    84

 2                   102

 3                   158

 4                   271

The slope at different will be given as,

m₁ = (102 - 84) / (2 - 1)

m₁ = 18

m₂ = (158 - 102) / (3 - 2)

m₂ = 56

m₃ = (271 - 158) / (4 - 1)

m₃ = 113

The capability is a rising capability. The diagram that addresses the table will be A.

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We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is  (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.

test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

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The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Answer:6 0

Step-by-step explanation:

Answer: 7/11+(-1/11)

            6/11 or in decimal form: 0.54

Hope this helps..... Stay safe and have a Merry Christmas!!!!!!!! :D

Answer:

Step-by-step explanation:

Step-by-step explanation:

isi properly in hai and ke and in ke in and hai in to in hai in urr7yfufkc USPS packages in place of the day and night and the day of school is a good weekend of June and I have to be a good time for a few days ago and it is not the named recipient you must be the best of the year and a half men in the day and time for a good weekend of may be unlawful or the other side and the other day that would work best for the delay but I am going out for you to JFK to SFO to be in the day and night at my house and I have a great day and I will be in the day of the year and a half men in the morning of may and I am going on in your life is not the addressee only for a good weekend too many people will share it on my own business and the day before I have to do it on the day of the week of June and July to be a great day and night at the I have to do the same as last time I have to R blog archive for the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of your website and get a few things I need the money to get you the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of your website and I am a little bit about myself and the day before yesterday and the rest of my own business and I will be able to do you have anypay.

The probability of getting a marble marked with a number greater than 4 is \(\frac{1}{9}\).

Probability is the measure of happening or non-happening of outcomes of random experiment.

P(E) = Number of favorable outcomes/Total number of outcomes

where,

P(E) is the probability of an event.

According to the given question.

Total number of marbles in jar = 18

⇒ Total number of outcomes = 18  

( 6 red marbles, 6 black marbles, and 6 green marbles)

But it is given that, black or red marble is randomly selected.

Therefore, the total number of outcomes reduced to 12.

Numbers which are greater than 4 among 1 to 6 are 5 and 6.

Total number of numbers which are greater than 4 in jar = 2 × 3 =6

But we have to select only black or red marble.

Therefore,

Total number of favorable outcomes = 4

The probability of selecting a marble greater than 4 which are red

= \(\frac{4}{12} =\frac{1}{3}\)

The probability of selecting a marble greater than 4 which are black

= \(\frac{4}{12} = \frac{1}{3}\)

Therefore, the probability of getting a marble marked with a number greater than 4 \(=(\frac{1}{3}) (\frac{1}{3} )=\frac{1}{9}\)

Hence, the probability of getting a marble marked with a number greater than 4 is \(\frac{1}{9}\).

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

She will lose 24 pounds.

Step-by-step explanation: She loses 4 pounds each month. She does this for 6 months. So, you would do 4 x 6 = 24. Hope this helps ^-^.

There are 3,537,090 different eight-card hands that contain exactly two suits, with four cards from each suit.

The number of eight-card hands that contain exactly two suits with four cards from each suit can be calculated as follows:

First, we choose two suits out of four possible suits in 4C2 ways. Then, we choose four cards from each of the two chosen suits in 13C4 ways. Therefore, the total number of such hands is:

4C2 * 13C4 * 13C4 = 6 * 715 * 715 = 3,537,090

Regarding the second question, the author felt it necessary for Mrs. Candy to have a quantity greater than 30 of each type of candy to ensure that there are enough candies of each type to give to each child. Since each child is supposed to get three pieces of candy, and there are nine children, Mrs. Candy needs at least 27 pieces of candy in total. If each type of candy is available in a quantity greater than 30, then there will be enough candies of each type to give to each child without running out. However, if the quantity of any type of candy is less than 27, then Mrs. Candy may not be able to distribute the candy to all nine children fairly.

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(a) Is this an observational study or an experiment?

ans=Observational study – no treatment was imposed

(b) What are the explanatory and response variables?

ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior

d) Does this study show that child care causes children to be more aggressive? Explain.

No. Observational studies cannot show cause-and-effect

Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.

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Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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The number of candy bars sold, x, is equal to 8 candy bars.

The number of bags of chips sold, y, is equal to 12 chips.

In order to write a linear equation to describe this situation, we would assign variables to the number of bags of chips sold and the number of candy bars sold respectively, and then translate the word problem into a linear equation as follows:

Since the price of each candy bar is $1 and the price of each bag of chips is $2, and he made $32 from selling a total of 20 candy bars and bags of chips, a system of linear equations to describe this situation can be written as follows;

x + y = 20

x + 2y = 32

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Answer:

24

Step-by-step explanation:

Answer:

\(y = \frac{1}{4} x + 9\)

Step-by-step explanation:

All lines take the form

\(y = mx + c\)

Where m is the gradient (or slope), and c is the y-intercept. To find the gradient if a line perpendicular to another, we must find the negative reciprocal of the other line. The gradient of the line given is -4, so our negative reciprocal is 1/4.

To find our y-intercept, we must find the point where the line crosses the y-axis (in other words, when the X coordinate is 0). Helpfully, the coordinate given is already at this point, so we can simply take the y coordinate from here, and we know our y-intercept is 9. Putting this altogether, our equation is:

\(y = \frac{1}{4} x + 9\)

After 5 years, Aron will have £1,724.82 in the savings account.  Aron invests £1500 as the principal amount with an annual interest rate of 2.15% (or 0.0215 as a decimal).

To calculate the amount in Aron's savings account after 5 years with compound interest, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, Aron invests £1500 as the principal amount with an annual interest rate of 2.15% (or 0.0215 as a decimal). The interest is compounded once per year, so n = 1. Aron plans to leave the money in the account for 5 years, so t = 5.

Substituting the given values into the compound interest formula, we have:

A = £1500(1 + 0.0215/1)^(1*5)

Simplifying the exponent:

A = £1500(1 + 0.0215)^5

Calculating the values within parentheses:

A = £1500(1.0215)^5

Evaluating the exponent:

A = £1500(1.11036)

Multiplying:

A ≈ £1,665.54

Therefore, after 5 years, Aron will have approximately £1,665.54 in the savings account.

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Answer:

∠2 and ∠5

∠6 and ∠3

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by intersecting two straight lines.

Looking at the options, the answers are ∠2 and ∠5, ∠6 and ∠3

Answer: b = 5

Step-by-step explanation:

        The standard form of a quadradic equation is 0 = ax² + bx + c. To do this, we will move all values to one side of the equation.

        Given:

8x + 4 = -2x² + 3x + 1

        Subtract (8x + 4) from both sides of the equation:

0 = -2x² - 5x - 3

        Lastly, we are given that a = 2, so we will divide both sides of the equation by -1.

0 = -2x² - 5x - 3

0 = 2x² + 5x + 3

        We are asked to find the value of b.

0 = ax² + bx + c

0 = 2x² + 5x + 3   ➜   b = 5

By Pythagorean formula and proportion formula, the length of side VW is equal to 6 units. (Right choice: C)

Herein we find a geometric system formed by two right triangles, in which two side lengths are known (WX, XY) and we need to determine the length of side VW.

Both triangles XVW and XYW are similar, where they share the same internal angles and proportional corresponding pair of sides. Then, the system is represented by following proportion formula:

XV / WX = XY / XV

XV² = XY · WX

XV = √(XY · WX)

If we know that XY = 9 and WX = 3, then the value of XV is:

XV = √27

XV = 3√3

Then, the side VW is found by Pythagorean theorem:

VW = √(WX² + XV²)

VW = √(3² + 27)

VW = 6

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Step-by-step explanation:

Area of a rhombus = ab/2 where a is 12cm and b is 10cm (diagonals)

Area = 12 x 10 /2 =120/2

Area = 60cm

Option (A) is correct

What are factors of production?

" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."

What are some examples of entrepreneurship as a factor of production?

An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.

So, option (A) is correct

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Answer: entrepreneurship

Step-by-step explanation:

just took the quiz

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

Answer:

Mean: \(93.2\; \rm ^{\circ} F\).

Standard deviation: \(4.086\; \rm ^{\circ} F\).

Step-by-step explanation:

Consider a random variable \(X\) with mean \(\overline{X}\) and variance \({\rm Var}(X)\).

If a random variable \(Y\) is obtained by linearly transforming \(X\) for some constants \(m \ne 0\) and \(b\), then the mean of \(Y\!\) would be:

\(\overline{Y} = m\, \overline{X} + b\).

\(\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)\).

The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of \(Y\) would be:

\(\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}\).

In this question, the random variable \(F\) is obtained by linearly transforming \(C\) using the constants \(m = (9/5)\) and \(b = 32\). That is:

\(F = (9/5)\, C + 32\).

It is given that mean \(\overline{C} = 34\) while standard deviation \(\mathrm{SD}(X) = 2.27\). The mean and standard deviation of \(F\) obtained from the linear transformation would be:

\(\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}\).

\(\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}\).

Thus, when measured in degrees Fahrenheit, the corresponding mean would be \(93.2\; \rm ^{\circ} F\) and and standard deviation would be \(4.086\; \rm ^{\circ} F\).