What is the period of the function y = - 3 sin 2x? a. 2 b. - 3 C. d. e. 2A I 2

Answer:god

Step-by-step explanation: god is love right is god is right

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

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The expected number of matchings goes to infinity as N › [infinity].

Matching in Graph Theory:A matching in Graph Theory is a set of edges of a graph where no two edges share a common vertex. In other words, a matching is a set of independent edges of a graph. A perfect matching in a Graph Theory is a matching of size equal to half the number of vertices in a graph.The expected number of matchings goes to 0 as N › [infinity]:The expected number of matchings goes to zero as N › [infinity] when |E| = 3/N. It is because 3/N is a relatively dense number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very small in comparison to the total number of matchings possible as N › [infinity].The expected number of matchings goes to infinity as N › [infinity]:The expected number of matchings goes to infinity as N › [infinity] when |E| = 4.V. It is because 4.V is a relatively large number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very large in comparison to the total number of matchings possible as N › [infinity]. Hence the expected number of matchings goes to infinity as N › [infinity].

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Answer:

y=35

Step-by-step explanation:

y in (-oo:+oo)

14 = (2*y)/5 // - (2*y)/5

14-((2*y)/5) = 0

(-2/5)*y+14 = 0

14-2/5*y = 0 // - 14

-2/5*y = -14 // : -2/5

y = -14/(-2/5)

y = 35

y = 35

Answer:

B

Step-by-step explanation:

If you see two negatives next to each other, just think of them as adding. So add 8 and 7, you get 15.

The population median commute time of the employees of Asons is 40 minutes.

The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in ascending or descending order. In this case, the commute times provided are 47.4, 45, 35, and 40 minutes.

To determine the median, we arrange the commute times in ascending order: 35, 40, 45, 47.4. Since there are four values in the dataset, the middle value is the average of the two central values, which are 40 and 45. Taking the average of these two values gives us the median of 40 minutes.

Therefore, the population median commute time of the employees of Asons is 40 minutes, indicating that half of the employees have a commute time of 40 minutes or less, while the other half have a commute time of 40 minutes or more.

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Answer:

26

Step-by-step explanation:

Answer: 26

Step-by-step explanation: When rounding you have to look and see if your number is above or below 5. Let's take your number for example.

25.9

Focus on the decimal point. If you notice, the number after the decimal point is above 5, therefore you should round it off to 26.

Hope it helps ^^

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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The largest possible volume of a rectangular parcel where the smallest end is a square that can be sent by mail according to USPS regulation is 11664 cubic inches.

The volume of a rectangular parcel with dimensions l, w, and h is lwh. We can express the volume of the rectangular parcel in terms of one variable, say l, as lwh = l(108 - 2l)h. We want to maximize this expression subject to the constraint that l is a positive number less than 54 (the maximum value for l that still allows the parcel to fit within the 108-inch limit).

Taking the derivative of the volume with respect to l and setting it equal to zero, we find that the maximum volume occurs when:

l = (27 inches)

At this value, the dimensions of the parcel are:

l = 27 inches

w = 27 inches

h = 2(108 - 2l) = 2(72) = 144 inches

The volume of the parcel is then:

lwh = (27)(27)(144) = 11664 cubic inches

This is the largest possible volume of a rectangular parcel where the smallest end is a square that can be sent by mail according to USPS regulations.

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Answer:

-6

Step-by-step explanation:

5x + 12 = 4x + 6

=> 5x - 4x = 6 - 12

=> x = -6 (Ans)

Answer:

-6

Step-by-step explanation:

5x+12=4x+6

We simplify the equation to the form, which is simple to understand

5x+12=4x+6

We move all terms containing x to the left and all other terms to the right.

+5x-4x=+6-12

We simplify the left and right the side of the equation.

+1x=-6

We divide both sides of the equation by 1 to get x.

x=-6

The expression g = 2hm can be written as in terms of g and h when m is the subject is m = g/2h.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

g  = 2hm

To make m as the subject and solve it:

Divide the above expression by 2h on both sides:

g/2h = m  or

m = g/2h

Thus, the expression g = 2hm can be written as in terms of g and h when m is the subject is m = g/2h.

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Answer:

$168

Step-by-step explanation:

1  dozen = 12

proportions

12 books ⇔ $144

14 books ⇔ $B

B = 144*14/12

B = $168

\(\\ \rm\rightarrowtail -1/4+3/4a=-7/4a-1\)

\(\\ \rm\rightarrowtail (3/4+7/4)a=-1+1/4\)

\(\\ \rm\rightarrowtail 10/4a=-3/4\)

\(\\ \rm\rightarrowtail 10a=-3\)

\(\\ \rm\rightarrowtail a=-0.3\)

The answer of this will be \(6\) .

Addition is a mathematical operation that represents combining objects t into a larger collection. It is signified by the plus sign (+). Subtraction is  a mathematical operation that represents process of finding the difference between numbers or quantities. It is signified by the minus sign (-)

We have,

In first line, we have

Two Red pencil \(+\) One Red And Blue Pencil \(=21\)   \(.........\) First Row

Red pencil \(-\) Blue pencil \(=3\)     \(.........\) Second Row

Red Pencil and Blue Pencil \(= 15\)     \(.........\) Third Row

Blue Pencil \(+\) Blue Pencil \(= \ ?\)      \(.........\) Fourth row

We have,

From Second row ,

We will choose two numbers which have difference of \(3\),

Let, \(6\) and \(3\)

i.e.

Red Pencil \(= 6\)

Blue Pencil \(= 3\)

So,

Red pencil \(-\) Blue pencil \(=3\)

      \(6-3=3\)

It means that the numbers we choose are best fir for the values of pencils.

Now, Put values of these pencil in Fourth row,

Blue Pencil \(+\) Blue Pencil \(= \ ?\)  

\(3+3=6\)

So, the values of the the Two  blue Pencil will be \(6\).

Hence, we can say that the answer of this will be \(6\) .  .

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The value of x and y from the given right angled triangle (1) are 13 units and 13√2 units respectively.

We know that, sinθ=Opposite/Hypotenuse, cosθ=Adjacent/Hypotenuse and tanθ=Opposite/Adjacent.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles.

1) tan45°=x/13

1 = x/13

x=13 units

cos45°=13/y

1/√2 = 13/y

y=13√2 units

2) sin45°=x/30

1/√2 =x/30

√2x=30

x=30/√2

x=15√2 units

cos45°=y/30

1/√2 =y/30

√2y=30

y=30/√2

y=15√2 units

3) tan60°=y/3

√3=y/3

y=3√3 units

cos60°=3/x

1/2 = 3/x

x=6 units

4) sin30°=y/34

1/2 = y/34

y = 17 units

cos30°=x/34

√3/2 = x/34

x=17√3 units

5) sin45° =y/10√2

1/√2 = y/10√2

y=10 units

cos45°=x/10√2

1/√2 = x/10√2

x=10 units

6) sin60°=25√3/x

√3/2 = 25√3/x

x=50 units

tan60°=y/25√3

√3=y/25√3

y=75 units

Therefore, the value of x and y from the given triangle (1) are 13 units and 13√2 units respectively.

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Assuming the population standard deviation is known and the standard deviation of the sample mean x : option (b) is correct : the standard error of the sample mean decreases.

In probability theory, the central limit theorem (CLT) states that the distribution of a sample variable approximates a normal distribution (i.e., a “bell curve”) as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Standard deviation is a calculation of the dispersion or variation in a set of numbers. If the standard deviation is a small number, it means the data points are close to their average value. If the deviation is large, it means the numbers are spread out, further from the mean or average.

There are different ways to write out the steps of the population standard deviation calculation into an equation. A common equation is:

                          σ = ([Σ(x - u)2]/N)1/2

Where:

σ is the population standard deviation

Σ represents the sum or total from 1 to N

x is an individual value

u is the average of the population

N is the total number of the population

A sample mean is an average of a set of data . The sample mean can be used to calculate the central tendency, standard deviation and the variance of a data set. The sample mean can be applied to a variety of uses, including calculating population averages.

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The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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Answer:

put 3/5 for (a)

Step-by-step explanation:

The trigonometric expression that represents the value of x is sin⁻¹(3/5), which is equal to 36.87°.

Trigonometric expressions are ratios of the sides of a right triangle.

In the question, we are asked to write the trigonometric expression expressing the value of x.

We know that in the given right triangle,

sin x = 3/5 {∵ sin θ = perpendicular/hypotenuse}

Therefore, we can write x = sin ⁻¹ (3/5).

or, x = 36.87°.

Thus, the trigonometric expression that represents the value of x is sin⁻¹(3/5), which is equal to 36.87°.

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The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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Answer: 480in^2

Step-by-step explanation:

The formula for the area of a triangle:  \(A = \frac{h*a}{2}\)

There are 4 sides on the roof so \(A = 4*\frac{12in * 20in}{2} = 480in^{2}\)

the correct answer is A. $63,200.

To compute the cost component of the machine, we need to add up all the related expenditures to the cash price of the machine.

Cash price of the machine: $60,000

Sales taxes: $2,000

Insurance after installation: $200

Installation and testing: $1,000

Total related expenditures: $2,000 + $200 + $1,000 = $3,200

Cost component of the machine: Cash price + Total related expenditures

Cost component of the machine = $60,000 + $3,200 = $63,200

Therefore, the correct answer is a. $63,200.

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The given utility function U(x, y) = √xy yields the marginal utilities as MUx = √xy/2 and MUy = √xy/2 respectively.

In this question, The utility function is U(x, y) = √xy

The consumer purchases two goods, food and clothing where x denotes the amount of food consumes and y denotes the amount of clothing.

To find out the marginal utility of X (MUx) and the marginal utility of Y (MUy), we will take the first partial derivative of U(x, y) with respect to x and y respectively.

∂U/∂x = y/2(√xy) = (y/2)√x/y = √xy/2 = MUx

The marginal utility of X (MUx) is √xy/2.

∂U/∂y = x/2(√xy) = (x/2)√y/x = √xy/2 = MUy

The marginal utility of Y (MUy) is √xy/2.

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The atom's place on the table is determined solely by its number of protons

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

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Answer:

number of protons

Step-by-step explanation:

Answer:

62.83 cm is the length of the ribbon needed

Answer:

James scored 87.5% in the test.

Step-by-step explanation:

7 x 100 : 8 = 87.5%

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

The number of pieces in the bowl before she added the 20 is 8 pieces of candy

Here, we want to get the number of pieces in the bowl before the addition of the 20 pieces

Let the number of pieces before the addition be n

she added 20 pieces to what is there initially, this brings the total to;

Now, two days after the addition, half of the above is gone

Half of the above is;

Now, the difference between the number of pieces in the bowl after the addition of the 20 and the half gone is 14; we have the equation as thus;

The best statistical test for them to utilize is two sample chi square test

Given that,

Diphtheria, tetanus, and pertussis (DTaP) vaccination administration in the thigh vs. arm was the topic of a study. By gender, data was gathered.

To find: Which statistical test would be the most appropriate for them to use

As here there are two independent samples in which each sample represent severe reactions to vaccine based on if shot is on thigh or the arm.

What is two sample chi square test?

Based on binned data, the chi-square two sample test is used. The binning for both data sets should be the same, it should be noted. The chi-square two sample test's fundamental premise is that if the two data samples are drawn from similar distributions, then there should be a similar number of observed points in each bin (adjusted for different sample sizes).

Therefore, two sample chi square test of independence would be best.

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