The salary of 157 employees in an office for a month is Rs. 7,10582.What is the annual salary of 1 employee, assuming all are paid equally?​
Show division step-by-step

Answer:

Just divide the total cost of 21.75 by the number of friends, 3 which is 7.25

Step-by-step explanation:

Answer:

The answer is the length of time in one time interval

(a) To find the probability that only one machine is in working condition after two days, we need to determine the probability of transitioning from state (1, 1) to state (1, 0) after two days.

From the transition probability matrix, we see that to transition from (1, 1) to (1, 0) in one day, both machines need to remain operational, which has a probability of (1 - p) * (1 - p) = (1 - p)^2.

Therefore, the probability of transitioning from (1, 1) to (1, 0) after two days is ((1 - p) * (1 - p))^2 = (1 - p)^4.

(b) To find the expected number of days until both machines are down, given that currently both machines are operational, we need to consider the transition probabilities from state (2, 0) to state (0, 1).

From the transition probability matrix, we see that to transition from (2, 0) to (0, 1) in one day, both machines need to fail, which has a probability of p * p = p^2.

Therefore, the expected number of days until both machines are down, given that both machines are currently operational, is 1 / (p^2).

(c) To find the steady-state probabilities, we need to solve the equation πP = π, where π is the row vector of steady-state probabilities and P is the transition probability matrix.

Solving this equation will give us the steady-state probabilities for each state (i, j). Since the given matrix is not provided, it is not possible to calculate the exact steady-state probabilities without the specific values of the transition probabilities.

(d) To determine the percentage change in the long-run average benefit per day if p changes from 0.3 to 0.2, we would need to know how the revenue R TL is related to the probability p. Without this information, it is not possible to calculate the percentage change.

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Answer:

Volume: 9500 m^3

Step-by-step explanation:

6.4 * 12 = 76.8

76.8 * 12.5 = 9500

There are several reasons why we might not be able to build a regression model to predict a dependent variable. These reasons include:

1. Unknown independent variables: If we do not know the independent variables that have a significant impact on the dependent variable, it would be challenging to build an accurate model. Identifying relevant independent variables is crucial for creating a robust regression model.

2. Lack of data for independent variables: Even if we know the relevant independent variables, we might not have enough data for them. Regression models require sufficient data to estimate the relationship between the dependent variable and independent variables accurately. Without enough data, the model may be unreliable or may not provide meaningful results.

3. Poor model fit: Sometimes, a regression model might not fit the data well due to the nature of the relationship between the dependent and independent variables. This could occur if the relationship is non-linear, or if there are other factors influencing the dependent variable that we have not considered in the model. In these cases, alternative modeling techniques may be more appropriate.

In summary, all of these reasons - unknown independent variables, lack of data for independent variables, and poor model fit - can contribute to the inability to build a suitable regression model to predict a dependent variable.

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Answer:

240÷48=5 no of buses needed, use division

Answer: 800

Step-by-step explanation: please. Mark as brainliest

Answer:

8000 mg

Step-by-step explanation:

8 grams are equal to 8000 milligrams

Answer:

x = 5.8.

Step-by-step explanation:

2x + 9.4 = 21

2x = 21 - 9.4 = 11.6

x = 11.6 / 2

x = 5.8.

The teacher will be able to form a team with the given condition in 339 different ways.

To find the number of ways the teacher can form a team that satisfies the given condition, we can consider different possibilities based on the number of boys selected.

Since the difference between the number of boys and girls in the team must be divisible by 4, we can start by selecting a certain number of boys and then determine the number of girls based on that selection.

Let's consider the cases where the teacher selects 'k' boys:

1. If the teacher selects 0 boys, then the number of girls selected should be divisible by 4. Since there are 8 girls, the number of ways to select the girls is given by the number of combinations, which is C(8, 0) = 1.

2. If the teacher selects 1 boy, then the number of girls selected should be (1 + 4n) for some integer 'n'. We can have 1 boy and 1 girl, or 1 boy and 5 girls. So, the number of ways to select the girls is C(8, 1) + C(8, 5) = 8 + 56 = 64.

3. If the teacher selects 2 boys, then the number of girls selected should be (2 + 4n) for some integer 'n'. We can have 2 boys and 2 girls, or 2 boys and 6 girls. So, the number of ways to select the girls is C(8, 2) + C(8, 6) = 28 + 28 = 56.

4. Continuing this pattern, we can calculate the number of ways for the remaining cases:

  - For 3 boys: C(8, 3) + C(8, 7) = 56 + 8 = 64.

  - For 4 boys: C(8, 4) = 70.

  - For 5 boys: C(8, 5) = 56.

  - For 6 boys: C(8, 6) = 28.

To find the total number of ways, we sum up the number of ways for each case:

1 + 64 + 56 + 64 + 70 + 56 + 28 = 339.

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Answer: 4√2

square root of a number is the factor that we can multiply by itself to get that number.

The square root symbol is also called as a RADICAL.

Perfect squares are the squares of the integers also called as square numbers.

to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers

how to find square root of non perfect squared numbers:

If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.

Factor tree of 32 = 2*2*2*2*2

                            = (2*2) * (2*2) *2

                            = (4)2 *2

Therefore √/32 = √/2*2*2*2*2

                          = √/(4)2*2

                          = 4√/2

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Answer:   x=4cm squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where is diagram?

please send diagram then i will help you!

Answer:

This theory states that the concentric circles are based on the amount that people will pay for the land.

Step-by-step explanation:

I swear this is the answer because I had the same question and I think this was my answer .

The concentric circle model illustrates nested relationships or boundaries.

We have,

The concentric circle model illustrates the concept of nested or concentric circles.

It represents a series of circles that share the same center point but have different radii.

These circles are placed one inside the other, with each circle contained within the previous one.

The concentric circle model is often used to visualize or explain various concepts, such as:

- Levels of influence or impact

- Zones or boundaries

- Relationships or proximity

- Targeting or segmentation

Thus,

The concentric circle model helps visually represent hierarchical or nested relationships, boundaries, proximity, or segmentation in various contexts.

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Answer:

0.980413

Step-by-step explanation:

The table for the deaths and death rate per 100,000 population is attached below ;

73 years fall in the 65 - 74 years category ; with 1958.7 deaths (Female)

Hence, the probability of living another year is :

Number of deaths per 100,000 population ;

P(death) = 1958.7 / 100,000 = 0.019587

Probability of living another year = 1 - P(death)

1 - 0.019587 = 0.980413

Answer:

C. 0.980413

FHKEDIbEDSAJFWBHES

Answer: 15

Step-by-step explanation:

Answer:

9H879UIU789U78HT5H7YUIY6IKT5HY78UYJ

Step-by-step explanation:

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

The sample space in the tree diagram regarding the probability will be HR, HY, HB, TR, TY, TB.

It should be noted that probability simply means the likelihood of the occurence of an event.

In this case, the sample space in the tree diagram will be HR, HY, HB, TR, TY, TB where,

H= head

T = tail

B = blue

r = red

y = yellow

The number of outcomes are in the event "Toss a tails, spin yellow will be 1.

The probability of tossing tails and spinning yellow will be:

= 1/2 × 1/3

= 1/6

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Answer: (D)

Step-by-step explanation:

Let 8/9=x/12

9*x=12*8

9x=96

x=10.7

(a) Yes, we have enough information to compute Probability P(A or B).

(b) If we know P(A) and P(B), we have enough information to compute P(A or B).

(a) The probability of the union of two events (A or B) is given by the formula P(A or B) = P(A) + P(B) - P(A and B)

We know P(A) and P(B), but we don't know P(A and B) - the probability that both events occur simultaneously. Therefore, we cannot compute P(A or B) with certainty unless we are given additional information about the relationship between A and B.

(b) If we know that events A and B are mutually exclusive, then we have enough information to compute P(A or B). Mutually exclusive events are events that cannot occur simultaneously, which means that P(A and B) = 0.

In this case, the formula for the probability of the union simplifies to:

P(A or B) = P(A) + P(B)

Since we know P(A) and P(B), we can simply add them to obtain P(A or B). Therefore, in this case, we have enough information to compute P(A or B).

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Answer:\(1+\sqrt{2}\)

Step-by-step explanation:

find tan(67.5)

Put  tan(67.5)=tan(x)

 tan(2x)=tan(135) =tan(180-45) = -tan(45) = -1

tan(2x) = -1

by using trigonometry identity

\(tan 2x=\frac{2tan x}{1-tan^{2} x}\)

\(-1=\frac{2tan x}{1-tan^{2} x}\)

\(tan^{2} x-1={2tan x}\)

\(tan^{2} x-{2tan x}-1=0\)

put tanx=t

\(t^{2} -2t-1=0\)

so we get \(t=\frac{b+-\sqrt[2]{b^{2} -4ac} }{2a}\)

\(t=\frac{2+-2\sqrt{2} }{2}\)

\(t=1+\sqrt{2}\)

as 67.5 is in the first quadrant, it only takes a positive number

\(t=tan(67.5)=1+\sqrt{2}\)

By using the formula for tan(2x), we find the exact value of tan(67.5) is \(\sqrt{2}\) + 1.

Using the formula for tan(2x), we can find the exact value of tan(67.5) by expressing it in terms of a known angle and using trigonometric identities.

The formula for tan(2x) states that tan(2x) = (2tan(x))/(1-\(tan^2\)(x))

To find the exact value of tan(67.5), we can express it in terms of a known angle that we can work with.

First, we note that 67.5 degrees can be expressed as the sum of two angles: 45 degrees and 22.5 degrees.

We can write 67.5 degrees as 45 degrees + 22.5 degrees.

Using the trigonometric addition formula for tan, we know that tan(x+y) = (tan(x) + tan(y))/(1 - tan(x)tan(y))

We can apply this formula to tan(45 + 22.5) to find the exact value.

Let's denote tan(45) as a known value, which is equal to 1.

By substituting tan(45) = 1 and tan(22.5) = sqrt(2) - 1 into the formula for tan(x+y), we can calculate the exact value of tan(67.5).

Using the formula tan(45 + 22.5) = (tan(45) + tan(22.5))/(1 - tan(45)tan(22.5)), we substitute the known values and simplify the expression to find the exact value of tan(67.5).

Using the trigonometric addition formula for tan, which states that tan(x+y) = (tan(x) + tan(y))/(1 - tan(x)tan(y)), we can find tan(67.5) as follows:

tan(67.5) = tan(45 + 22.5)

Using the formula, we substitute the known values:

tan(67.5) = (tan(45) + tan(22.5))/(1 - tan(45)tan(22.5))

Replacing the known values:

tan(67.5) = (1 + (\(\sqrt{2}\) - 1))/(1 - 1 * (\(\sqrt{2}\) - 1))

Simplifying the expression:

tan(67.5) = (1 + \(\sqrt{2}\) - 1)/(1 - \(\sqrt{2}\) + 1)

tan(67.5) = \(\sqrt{2}\)/(2 - \(\sqrt{2}\))

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator:

tan(67.5) = (\(\sqrt{2}\) * (2 + \(\sqrt{2}\)))/((2 - \(\sqrt{2}\)) * (2 + \(\sqrt{2}\)))

tan(67.5) = (2\(\sqrt{2}\) + 2)/((2^2) - (\((\sqrt{2})^2\))

tan(67.5) = (2\(\sqrt{2}\) + 2)/(4 - 2)

tan(67.5) = (2\(\sqrt{2}\) + 2)/2

Simplifying further:

tan(67.5) = \(\sqrt{2}\) + 1

Therefore, the exact value of tan(67.5) is \(\sqrt{2}\) + 1.

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4.1 If X is contingent (neither a tautology nor a contradiction) and Y is a tautology (always true), ¬X V Y is a tautology.

4.2 No, it does not necessarily follow that Y must entail ¬Z. Y does not necessarily entail ¬Z.

4.3 The tautologies of X and X → Z do not provide sufficient information to conclude that Z itself is a tautology.

4.1 If X is contingent (neither a tautology nor a contradiction) and Y is a tautology (always true), the sentence ¬X V Y must be a tautology. This is because the disjunction (∨) operator evaluates to true if at least one of its operands is true. In this case, since Y is a tautology and always true, the entire sentence ¬X V Y will also be true regardless of the truth value of X. Therefore, ¬X V Y is a tautology.

4.2 No, it does not necessarily follow that Y must entail ¬Z. Logical equivalence between X and Y means that they have the same truth values for all possible interpretations. Inconsistency between X and Z means that they cannot both be true at the same time. However, logical equivalence and inconsistency do not imply entailment.

Y being logically equivalent to X means that they have the same truth values, but it does not determine the truth value of ¬Z. There could be cases where Y is true, but Z is also true, making the negation of Z (¬Z) false. Therefore, Y does not necessarily entail ¬Z.

4.3 No, it does not necessarily follow that Z is also a tautology. The fact that X and X → Z are both tautologies means that they are always true regardless of the interpretation. However, this does not guarantee that Z itself is always true.

Consider a case where X is true and X → Z is true, which means Z is also true. In this case, Z is a tautology. However, it is also possible for X to be true and X → Z to be true while Z is false for some other interpretations. In such cases, Z would not be a tautology.

Therefore, the tautologies of X and X → Z do not provide sufficient information to conclude that Z itself is a tautology.

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The average rate of change between a Enter an exact answer. mL f(x) m sec 3 and 7 -5 -2 of the function shown in the table below is 0.75, which can also be expressed as a fraction of 3/4.

The average rate of change between a Enter an exact answer. mL f(x) m sec 3 and 7 -5 -2 of the function shown in the table below is -2.

The formula for finding the average rate of change is given as:

avg rate of change= change in y / change in x

Change in y can also be referred to as the difference in y-coordinates while change in x is the difference in x-coordinates.

Using the formula above, we can determine the average rate of change:

mL f(x) m sec 3 and 7 -5 -2 of the function shown in the table below as follows:

Avg rate of change between 3 and 7

= change in y / change in x

= (f(7) - f(3)) / (7 - 3)

= (-2 - (-5)) / 4

= 3 / 4

= 0.75

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324 is the maximum value of the product of these three numbers

What is maxima and minima?

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.

The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.

Let the three nonnegative numbers are x,y,z

According to the question

x+y+z=36

and y=2x

therefore, 3x+z=36--------------------------------------------------(1)

z=36-3x

Let 3xz= u--------------------------------------------------------------(2)

differentiating equation 2

du/dx=3z + 3xdz/dx

or

du/dx= z + xdz/dx

differentiating equation 1

3 + dz/dx = 0

dz/dx = -3

du/dz = 36-3x + x(-3)

du/dx = 12 - 2x--------------------------------------------------------------(3)

for maxima put du/dx = 0

x=6-------------------------------------------------------------------------------(4)

again differentiating du/dx = 12 - 2x

d2u/dx2=-2

which means 3xz= u is maximum at x=6

from equation 1 and 4

we get 18+z=36

z=18

Therefore 3xz= 3(6)(18)=324

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To calculate the minimum sample size needed, we can use the formula: n = (z * σ / E)^2

Where:

z = the z-score associated with the desired level of confidence (let's assume 95% confidence, so z = 1.96)

σ = the standard deviation of the population (given in the problem statement)

E = the maximum error margin (given in the problem statement)

Plugging in the values, we get:

n = (1.96 * σ / E)^2

To determine the value of σ/E, we need more information. Let's assume that the maximum error margin E is 0.5, which means that the psychologist wants to be within 0.5 points of the true population mean si score.

Now, let's say that σ = 10 (just as an example). Then, σ/E = 10/0.5 = 20.

Plugging this into the formula, we get:

n = (1.96 * 10 / 0.5)^2 = 384.16

Rounding up to the nearest whole number, the minimum sample size needed is 385.

Therefore, the psychologist would need to take a random sample of at least 385 si scores from smokers to be confident that her estimate of the population mean si score is within 0.5 points.

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Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

It must be a perfect square.  You can try factoring each equation to see if you have a perfect square, or you can evaluate the discriminant of each one.  If the discriminant is zero, there is one real root to the equation.  Try this approach.

f(x) = ax2 + bx + c

D = b2 - 4ac

If D = 0, then there is exactly one root, and it is real.

Answer:

1.    =0.01

2.  =0.0001  

3.  =10,000

4. =0.000001

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(1) + 3 = 5 + 3 = 8

(1,8)

5(3) + 3 = 8 + 3 = 11

(3, 11)

5(9) + 3 = 45 + 3 = 48

(9, 48)

5(10) + 3 = 50 + 3 = 53

(10, 53)

The mass of the lamina for the given curve in the first quadrant is y =  \(e^{(-7x)\)) is equal to 1/28 units.

To find the mass of the lamina in the first quadrant bounded by the coordinate axes and the curve y = \(e^{(-7x)\),

Use the concept of double integrals.

8(x, y) = xy, we can rewrite the expression for the mass as,

m = ∬R ρ(x, y) dA,

where ρ(x, y) is the mass density function and dA represents the differential area element.

Here, ρ(x, y) = xy, and

Find the mass in the region R defined by the first quadrant bounded by the coordinate axes and the curve y = \(e^{(-7x)\).

To set up the double integral,

Determine the limits of integration for x and y.

Since the region R is defined in the first quadrant,

0 ≤ x ≤ ∞

0 ≤ y ≤ \(e^{(-7x)\)

Let's integrate with respect to y first, from 0 to \(e^{(-7x)\), and then integrate with respect to x from 0 to ∞,

m = \(\int_{0}^{\infty}\) ∫[0, \(e^{(-7x)\)] xy dy dx

Now, let's evaluate the inner integral,

∫[0, \(e^{(-7x)\)] xy dy

= [1/2 xy²] evaluated from 0 to  \(e^{(-7x)\)

= (1/2) x \(e^{(-7x)\))² - (1/2) x(0)²

= (1/2) x  \(e^{(-14x)\)- 0

= (1/2) x  \(e^{(-14x)\)-

Substituting the double integral,

m =  \(\int_{0}^{\infty}\)  [(1/2) x  \(e^{(-14x)\)-] dx

Now, evaluate the outer integral,

m =  \(\int_{0}^{\infty}\)  [(1/2) x  \(e^{(-14x)\)-] dx = -[1/28 \(e^{(-14x)\)- (7x + 1)] evaluated from 0 to ∞

= -[(1/28 \(e^{(-\infty)\) (7∞ + 1)) - (1/28 \(e^{(0)\) (7(0) + 1))]

= -[(1/28)(0) - (1/28)(1)]

= 1/28

Therefore, the mass of the lamina in the first quadrant bounded by the coordinate axes and the curve y =  \(e^{(-7x)\)) is 1/28 units.

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Answer:

CD = 12.81

Step-by-step explanation:

2 x CS = CA

2x4 = 8 = CA

10 = AD

\(CD = \sqrt{(CA^{2} +AD^{2}) }\)

\(CD = \sqrt{(8^{2}+10^{2} ) }\)

\(CD = \sqrt{(64+100) } \\CD= \sqrt{164} \\CD=12.81\)

1 standard deviation =  8 inches. the answer is OPTION E

We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.

According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.

We can use this information to estimate the standard deviation as follows:

Range of heights = 7'0" - 5'0" = 2 feet

3 standard deviations = 2 feet

1 standard deviation = 2/3 feet

1 foot = 12 inches

Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches

So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.

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Complete question

If the heights of 99.7% of American men are between 5'0"

and 7'0", what is your estimate of the standard deviation of

the height of American men? (Assume the heights of

American Men are Normally Distributed).

A.) 1"

B.) 2"

C.) 4"

D.) 6"

E.) 8"