Increase 270 by 20%​

The total distinguishable ways can the donors be in line is 362,736.

The total number of distinguishable ways:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

To subtract the number of in-distinguishable arrangements:

(4! x 3!) + (3! x 2!) = 144

There are 362,736 distinguishable ways in which four donors with type O blood, three donors with type A blood, and two donors with type B blood can be in line.

This is calculated by first determining the total number of distinguishable arrangements, which is 9!.

Then,

The number of indistinguishable arrangements is subtracted from the total.

Which is done by multiplying the number of arrangements for each blood type separately and then adding them together.

The result is then subtracted from the total, leaving the number of distinguishable ways.

The total number of distinguishable ways is:

362,880 - 144 = 362,736

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Answer:

To find missing sides you subtract the angle from 180.

Step-by-step explanation:

If you have 40 and 30 you subtract them from 180 to find the missing lengh

Answer:

$24

Step-by-step explanation:

For a markup, use the formula a = ( 1 + p ) × w.

!!! Remember, a is the selling price, and w is the original price !!!

!!! The p is the percent in decimal form. 20% as a decimal is 0.20 (move the decimal twice to the left) !!!

Inserting the values, it should look like a = ( 1 + 0.20 ) × 20

a = 1.20 × 20

a = 24

Hence, the new selling price is $24.

Hope this helps! :)

The required limit is 8/3.

To find the limit: lim(x→π/2) (sec(x) − tan(x)).

First, we check whether it is in an indeterminate form. Evaluating the limit directly, we have:

lim(x→π/2) (sec(x) − tan(x)) = sec(π/2) - tan(π/2) = 1/cos(π/2) - sin(π/2).

The denominator of the above expression approaches zero, indicating an indeterminate form of 0/0. Therefore, we can use L'Hôpital's Rule.

We differentiate the numerator and denominator separately and apply the limit again. Differentiating, we get:

lim(x→π/2) [d/dx(sec(x)) - d/dx(tan(x))] / [d/dx(x)] ... [Using L'Hôpital's Rule]

= lim(x→π/2) [sec(x)tan(x) + sec²(x)] / [1].

Putting the limit value, we have:

= sec²(π/2) + sec(π/2)tan(π/2).

We know that sec(π/2) = 1/cos(π/2) and tan(π/2) = sin(π/2)/cos(π/2).

Therefore, sec²(π/2) + sec(π/2)tan(π/2) = [1/cos²(π/2)] + [sin(π/2)/cos²(π/2)]

= [1 + sin(π/2)] / [cos²(π/2)].

Putting the value of π/2, we get:

[1 + sin(π/2)] / [cos²(π/2)] = [1 + 1/2] / [3/4]

= [3/2] * [4/3]

= 8/3.

Therefore, the required limit is 8/3.

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it is not clear whether the data is related to proportions or not. Therefore, the statement that "the Success/Failure Condition is satisfied for sample sizes of at least 75" may not be applicable in this context.

In statistics, the normal distribution or Gaussian distribution is a continuous probability distribution that is commonly used to approximate the distribution of many random variables. One of the main applications of the normal distribution is to model the sampling distribution of the sample mean. However, the accuracy of the normal approximation depends on the sample size.

To determine the smallest sample size that would be reasonable to use the normal model as an approximation for the sampling distribution, we need to look at the histograms of the data. If the histograms are approximately bell-shaped and symmetric, the normal model is likely to be a good approximation.

In this case, it is stated that the normal model would be reasonable to use for a sample size of at least 75. This means that if the sample size is 75 or larger and the histogram is approximately bell-shaped and symmetric, we can use the normal model to approximate the sampling distribution of the sample mean.

Regarding the Success/Failure Condition, it is a condition that applies when we are using the normal model to approximate the sampling distribution of a proportion. The condition states that if np and n(1-p) are both at least 10, where n is the sample size and p is the probability of success, then we can use the normal model to approximate the sampling distribution of the proportion.

However, in this case, it is not clear whether the data is related to proportions or not. Therefore, the statement that "the Success/Failure Condition is satisfied for sample sizes of at least 75" may not be applicable in this context.

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approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

In a normal distribution, approximately 50 % of the values lie below the mean.

A normal distribution is symmetric around its mean, with the mean located at the center. Since the distribution is symmetric, half of the values will fall below the mean and the other half will fall above the mean.

Therefore, approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

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Approximately 50% of the values lie below the mean in a normal distribution.

In a normal distribution, the mean is located at the center of the distribution. The distribution is symmetric, meaning that there are an equal number of values on both sides of the mean. To determine the percentage of values below the mean, we need to find the area under the curve to the left of the mean.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, approximately 50% of the values lie below the mean. This means that if we were to calculate the area under the curve to the left of the mean, it would be approximately 0.5 or 50%.

It's important to note that in a normal distribution with a different mean and standard deviation, the percentage of values below the mean may vary. However, the concept remains the same - the area under the curve to the left of the mean represents the percentage of values below the mean.

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Answer:

B

Step-by-step explanation:

O Citizens who are healthy contribute more to their communities.

( I don't think this is math related).

Demonstrate a sampling method first five students picked by instructor sitting in the last raw is an example of option D. convenience sample.

As given in the question,

First five students sitting in the last row picked up by the instructor for demonstrating a sampling method is an example of the following sampling method:

A. Systematic sample is the method of sampling which represents the sample from the population.

Incorrect option.

B. simple random sample is the method of sampling where one can choose the samples randomly.

Incorrect option.

C. stratified sample is the method of sampling where whole population is divided into small subgroups and then from each subgroup data is chosen randomly.

Incorrect option.

D. convenience sample is the method of sampling where selection is based on easy and ready availability.

Correct option.

Therefore, instructor choose first five students from the last row to demonstrate a sampling method is an example of option D. convenience sample.

The above question is incomplete , the complete question is:

To demonstrate a sampling method, the instructor in a class picked the first 5 students sitting in the last row of the class. This is an example of a

A.) systematic sample.

B.) simple random sample.

C.) stratified sample.

D.) convenience sample.

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The volume of pyramid is 9.16×10⁷ feet³.

We are given the measure of each side of Great Pyramid, which will be it's length and width. Also, we are given height. The formula for calculation of volume of pyramid is -

Volume = (length×width×height)÷3

Keep the values in formula to find the volume of Great Pyramid

Volume = (756×756×481)÷3

Performing multiplication on Right Hand Side of the equation to find the volume of Great Pyramid-

Volume = 274908816÷3

Solving the Right Hand Side of the equation, by performing division, we get the volume of Great Pyramid -

Volume = 9.16×10⁷ feet³

The volume of Great Pyramid is 9.16×10⁷ feet³.

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Answer:

If t= 6

3 (2 x 6 + 5) 6 x 6 + 15

3 (12+5) 36 + 15

3 x 17 =51

= 51

The value of both expressions when t=6 is 51

When t = 3

3(2 x 3 + 5) 6 x 3 + 15

3 (6 +5) 18 + 15

3 x 11 =33

= 33

The value of both expressions when t= 3 is 33

Step-by-step explanation:

Step-by-step explanation:

Answer:

: ^ )                

Also Give me a good rating to please

I <3 The World

9+9+9= (Forever)

The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).

The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.

To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.

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#Part A

Volume of rectanglular prism

Volume of one cube

Total cubes

#2

Volume=

No of cubes ×volume of 1 cube

Answer:

A)  84 cubes

B)  Volume = 4 x 3 x 7 = 84 small cubes

    \(\sf Volume=3 \frac{1}{9}\:\:ft^3\)

Step-by-step explanation:

As the lengths of each side of the small cube are ¹/₃ ft each, to find the number cubes in the rectangular prism, first find how many thirds are in each dimension of the prism:

\(\sf Length=1 \frac{1}{3}\:ft=\dfrac{4}{3}\:ft=4\:thirds\)

\(\sf Width=1 \:ft=\dfrac{3}{3}\:ft=3\:thirds\)

\(\sf height=2 \frac{1}{3}\:ft=\dfrac{7}{3}\:ft=7\:thirds\)

Now simply multiply the number of thirds:

Number of cubes in prism = 4 x 3 x 7 = 84

As we have already found the dimensions of the prism in terms of the number of cubes, the volume of the prism in terms of the small cube is:

⇒ Volume = 4 x 3 x 7 = 84 small cubes

To find the volume of the prism in ft³, calculate the actual volume of the small cube:

\(\textsf{Volume of small cube}=\sf \dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3}=\dfrac{1}{27}\:ft^3\)

Now multiply the volume in terms of number of cubes by the actual volume of a cube:

\(\begin{aligned}\textsf{Volume} &= \sf \textsf{Volume in cubes} \times \textsf{Volume of cube in ft}^3\\\\& = \sf 84 \times \dfrac{1}{27}\:ft^3\\\\& =\sf \dfrac{84}{27}\:ft^3\\\\& =\sf 3\frac{1}{9}\:ft^3\end{aligned}\)

To find the work done by the material, we can use the equation for work in terms of pressure and volume:

Work = -pΔV

However, in this case, the pressure remains constant, so the equation simplifies to:

Work = -p(V2 - V1)

Given:

Temperature T1 = 272 K

Temperature T2 = 300 K

Pressure p = constant

To find the work done, we need to evaluate the change in volume (ΔV) between the initial and final states. To do this, we can rearrange the equation given to solve for ΔV:

p = A / (V1 * T1) - B / (V1 * T1^2)

Simplifying, we have:

(V2 - V1) = A / (p * T2) - B / (p * T2^2)

Now, we can substitute the given values into the equation and calculate the work done:

Work = -p(V2 - V1)

Remember that pressure (p) is constant, so we can substitute it directly into the equation.

Make sure to provide the appropriate units for pressure, volume, and work in order to obtain the correct numerical value.

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Answer:

TRUE

Step-by-step explanation:

The probability of committing a type 1 error is called alpha (or the level of statistical significance)

Alpha is the probability of committing a type i error. The statement is True.

Alpha is also known as the level of significance. In hypothesis testing, the level of significance is used to determine the acceptance or rejection of a null hypothesis. It's calculated by dividing the critical value (the value beyond which we can reject the null hypothesis) by the standard deviation of the population. The level of significance is typically set to 0.05 or 0.01. If the p-value (the probability of getting the observed results by chance) is less than the level of significance, we reject the null hypothesis and conclude that the alternative hypothesis is true.

Therefore, it's true that alpha is the probability of committing a type I error, which occurs when we reject a null hypothesis that is actually true. A type I error is also known as a false positive. In other words, we conclude that there is a significant effect or relationship when there isn't one. The level of significance is a measure of how willing we are to make this type of error. If we set a high level of significance, we are more likely to make a type I error.

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It is difficult to estimate the exact percentage of adult Americans who feel this way without further information, however 63% is a good indication that the majority of adult Americans favor capital punishment.

Based on the data provided, it is reasonable to assume that the majority of adult Americans favor capital punishment. This is supported by the survey results which show that 63% of respondents favor capital punishment (63.2% favor capital punishment; gss, 2018). However, without further information such as the survey sample size and what demographics were surveyed, it is difficult to estimate the exact percentage of adult Americans who feel this way. Nonetheless, the survey results indicate that the majority of adult Americans are in favor of capital punishment.

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Answer:

6/7... I think...

Step-by-step explanation:

I think you would do 1/3 divided by 3/10

Answer:

9/10

Step-by-step explanation:

3/10÷1/3=3/10 x 3/1

3/10 x 3/1= 9/10.

hope this helped :)

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

its 4

Step-by-step explanation:

solve for y and then find the point of intersection

Answer:

lol

Step-by-step explanation:

If each side of a square is increasing at a rate of 7 cm/s, then the rate of increasing the area of the the square when the area of the square is 64 cm square is 112 centimeter square per second

The rate of change of length with respect to the time = 7 cm per second

That is

dl / dt = 7 cm per second

The area of the square = l^2

Where l is the length of the square

The rate of change area with respect to the time is

dA / dt = 2l dl/dt

The area is given that 64 centimeter square and the side will be 8 cm

Substitute the values in the equation

dA / dt = 2 × 8 × 7

= 112 centimeter square per second

Therefore, the rate of increasing the area is 112 centimeter square per second

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Answer:

2^0

Step-by-step explanation:

When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.

There are two ways to go about this problem.

The first way, the generic way, is to know that,

\(\frac{a^n}{a^m}=a^{n-m},a\neq0\).

So,

\(\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}\).

The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,

\(\frac{a}{a}=1, a\neq0\)

And 1 equals to any number raised to the power of zero,

\(a^0=1,a\neq0\)

So we just have to say that the 1 we got is rewritten as some base to the power of zero.

Since our base needs to be 2, we just simply say,

\(2^0\).

Et Viola.

Hope this helps.

True, The range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.


The range of a linear transformation defined by the matrix transformation t(x) = ax is equal to the column space of matrix A (col A).

The range of a linear transformation is the set of all possible output values. In this case, the matrix A represents the transformation, and the column space of matrix A represents the span of the columns of A. The column space of matrix A is the set of all possible linear combinations of the columns of A.

To prove that the range of the linear transformation t(x) = Ax is equal to the column space of matrix A, we can show that every vector in the column space of A can be obtained as an output of the transformation t(x) = Ax. Additionally, we can show that every output of the transformation t(x) = Ax belongs to the column space of A.


Therefore, it is true that the range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.

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Answer: The price after 3 years is £6904.15

Step-by-step explanation:

After 1 year,  8500*0.9= 7650

7650*0.95=7267.5

7267.5*0.95=6904.125

The price after 3 years is £6904.15

Answer:

Step-by-step explanation:

Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.

The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...

  gardener's drawing = (1/4)actual size

  actual size = 4(gardener's drawing)

__

The partner's drawing is 1/20 of actual size, so is ...

  partner's drawing = actual size/20 = (4(gardener's drawing))/20

  partner's drawing = (4/20)(gardener's drawing)

  partner's drawing = (gardener's drawing)/5

__

Then the {length, width} of the partner's drawing are ...

  partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}

The partner's drawing has a length of 3 inches and a width of 2 inches.

Answer: 237,500 total decrease

Step-by-step explanation:

Answer:

C Minor

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

Answer:

x = 9

Step-by-step explanation:

2x + 10 = 28

2x = 28 - 10

2x = 18

x = 18 / 2

x = 9

Hope that helps!

Radical expression are expressions that contains square root. The value of x from the given radical expression is 3

Given the equation expressed as:

x = 2 + √x - 2

Subtract 2 from both sides

x - 2 = √x - 2

Square both sides

(x-2)^2 = x - 2

x - 2 = 1

x = 1 + 2

x = 3

Hence the value of x from the given radical expression is 3

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Answer:

B x = 3

Step-by-step explanation: