What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?​

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The relationship between the students illustrates the use of ratios.

1646 students are stuck eating pineapple pizza

Let:

\(P \to\) Pineapple

\(C \to\) Cheese

\(S \to\) Sausage

So, the ratio is represented as:

\(C : S : P = 5 : 5 : 32\)

The number of students is:

\(Students = 2160\)

The number (n) of students eating pineapple pizza is:

\(n = \frac{P}{C + S + P} \times Students\)

This gives

\(n = \frac{32}{5+5+32} \times 2160\)

\(n = \frac{32\times 2160}{42 }\)

\(n = \frac{69120}{42 }\)

\(n = 1645.71428571\)

Approximate

\(n = 1646\)

Hence, 1646 students are stuck eating pineapple pizza

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Answer:

B: 25

Give me Brainliest lol-

Answer:

25

Step-by-step explanation:

d1 x d2 divide by 2

10 x 5 = 50/2 =25

To find the minimum value of f(x) for -1 ≤ x ≤ 1, we need to look for critical points of the function in the given interval, and then determine whether they correspond to a minimum value.

The derivative of the function f(x) is given by:

f′(x) = e^(-x) cos(x^2)

The critical points of the function occur where f'(x) = 0 or where f'(x) is undefined.

First, let's look for where f'(x) = 0:

e^(-x) cos(x^2) = 0

cos(x^2) = 0

This equation is satisfied when x^2 = (2n+1)π/2, where n is an integer. However, these solutions are outside the interval [-1, 1], so we can ignore them.

Next, let's look for where f'(x) is undefined. The derivative f'(x) is undefined when e^(-x) = 0 or when cos(x^2) is undefined. However, neither of these conditions is satisfied in the interval [-1, 1], so we can ignore this case as well.

Therefore, there are no critical points of f(x) in the interval [-1, 1]. This means that the minimum value of f(x) in this interval must occur at one of the endpoints of the interval or at a local minimum outside the interval.

We have:

f(-1) = e cos(1)

f(1) = e^(-1) cos(1)

Using a calculator, we find that f(-1) ≈ 0.27 and f(1) ≈ 0.37. Therefore, the minimum value of f(x) in the interval [-1, 1] is f(-1) ≈ 0.27.

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The value of x will be 3.

The length of TW will be 6 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle TWZ,

The sides TY and YZ are equal.

Now,

Since, The sides TY and YZ are equal.

And, Side YW is common side.

∠WYT = ∠WYZ = 90°

Hence,  ΔWYT ≅ ΔWYZ

So, We get;

WT = WZ

Substitute all the values, we get;

4x - 6 = 2x

4x - 2x = 6

2x = 6

x = 3

Thus, The value of x will be 3.

And, The length of TW = 2x

                                    = 2 × 3

                                    = 6 units

Therefore, The value of x will be 3.

The length of TW will be 6 units.

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Answer:

The equation in the slope-intercept form will be:

\(y=-\frac{49}{39}x+0\)

Step-by-step explanation:

Given the points

Finding the slope between the points using the formula

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)\)

\(m=\frac{0-49}{0-\left(-39\right)}\)

\(m=-\frac{49}{39}\)

We know that the point-slope of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

substituting \(m=-\frac{49}{39}\) and (-39,49)  in the equation

\(y-y_1=m\left(x-x_1\right)\)

\(y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)\)

Now writing the equation in slope-intercept form

\(y=mx+b\)

where m is the slope and b is the y-intercept

\(y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)\)

\(y-49=\frac{-49}{39}\left(x+39\right)\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\)

\(y-49=-\frac{49}{39}\left(x+39\right)\)

\(\mathrm{Add\:}49\mathrm{\:to\:both\:sides}\)

\(y-49+49=-\frac{49}{39}\left(x+39\right)+49\)

\(y=-\frac{49}{39}x+0\)              ∵ \(y=mx+b\)

Where

\(m=-\frac{49}{39}\) and the y-intercept i.e. \(b=0\)

Therefore, the equation in the slope-intercept form will be:

\(y=-\frac{49}{39}x+0\)

Answer:

Step-by-step explanation:

Using the information provided we can create the following two equations each of which calculates the total number of minutes that the whale (w) or the platypus (p) can stay underwater. In order to solve each, you would need the value of at least 1 of the mammals.

w = 7 * (p+x)

p = (w / 7) - x

The w in these equations represents the number of minutes the whale can stay underwater while the p represents the number of minutes that the platypus can stay underwater.

Answer: The Correct Answer is B 60

Step-by-step explanation: I took the test

Answer: The answer is B 60

Step-by-step explanation: I took the test and it was right

Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.

Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.

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The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

  y = 5x - 7

Step-by-step explanation:

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-12 - 3) / (-1 - 2)

              = (-12 - 3) / (-1 - 2)

              = -15 / -3

          m = 5

y-intercept using slope above and anyone point, let's use (-1, -12):

y = mx + b

-12 = 5(-1) + b

-12 = -5 + b

b = -7

Equation of line using m and b from above:

y = mx + b

y = 5x - 7

Answer:

8.5 × 10-2

Step-by-step explanation:

I believe this is it

With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

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We will have the following:

So, the value is -8.

The actual length of the dragonfly if the drawing is 8. 5 cm, can be found to be 6. 375 mm

The scale on the science textbook is such that every 4 cm of the drawing of an insect is the same as 3 mm of the actual insect.

If a drawing is 8. 5 cm therefore, the actual length of the dragonfly would be :

= ( Drawing length of dragonfly x Scale of insect ) / Drawing scale of insect

The actual length is therefore :

= ( 8. 5 x 3 ) / 4

= 6. 375 mm

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The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.

Let us consider the present age of Earl to be x years.

According to the given question, the present age of Robin is twice that of Earl = 2x

And since it is given that Adam is 8 years younger than Earl, then his age

= x - 8

After 6 years, the age of Earl will be x + 6

Robin's age  will be = 2x + 6

Adam's age will be = x - 8 + 6 = x - 2

According to the given question, Robin's age will be thrice the age of Adam.

Hence, 2x + 6 = 3 (x - 2)

⇒ 2x + 6 = 3x - 6     ⇒ 6 + 6 = 3x - 2x     ⇒ 12 = x

Thus, the present age of Earl is 12 years,

Robin's age = 2x = 2 x 12 = 24 years

Adam's age = x - 8 = 12 - 8 = 4 years

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Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

The solution to the system of equations for this problem is given as follows:

(x, 3x - 27).

The system of equations for this problem is defined by these two equations presented as follows:

The first equation can be simplified as follows:

y = 3x - 27 = 3(x - 9).

Hence, substituting y = 3(x - 9) into the second equation, the solution for x can be obtained as follows:

x - 3(x - 9)/3 = 9.

x - x + 9 = 9

0x = 0.

As the system has the format 0x = 0, and considering that the division of 0 by 0 can assume any result different of zero, the system has an infinite number of solutions, in the following format:

(x, 3x - 27).

Meaning that the independent variable x is the free variable and the dependent variable y depends on the value of x.

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The probability that the life span of a randomly selected TSI Electronics monitor is more than 19,800 hours is 0.2119 (or 21.19%), given a normal distribution with a mean of 19,000 hours and a variance of 1,000,000.

We are given that the life spans of monitors manufactured by TSI Electronics follow a normal distribution with a mean of 19,000 hours and a variance of 1,000,000.

To find the probability that the life span of a monitor is more than 19,800 hours, we need to standardize the value using the standard normal distribution. The standardized value (z-score) can be calculated as follows:

z = (x - μ) / σ

where x is the value we want to standardize (19,800 hours), μ is the mean (19,000 hours), and σ is the standard deviation (square root of the variance = square root of 1,000,000 = 1000).

Substituting the given values, we get:

z = (19,800 - 19,000) / 1000 = 0.8

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected monitor will have a life span more than 19,800 hours as:

P(Z > 0.8) = 0.2119 (rounded to four decimal places)

Therefore, the probability that the life span of a monitor will be more than 19,800 hours is 0.2119 (or 21.19%).

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Answer:

the answer is

a=49

b=10

c=105

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Answer:

Multiply 43 x 15%

Step-by-step explanation:

Answer will be 6.45. To doublecheck yourself multiply 43 x 85% which is 36.55. Add 36.55 to 6.45 = 43

Answer:

42.3

Step-by-step explanation:

The orthogonal trajectories of the curve y = 14ax are the curves given by y = -1/(14a) + F, where a is an arbitrary constant and F is a constant of integration.

To find the orthogonal trajectories of the curve y = 14ax, we need to find a family of curves that intersect the given curve at right angles. The differential equation for the orthogonal trajectories can be derived by taking the negative reciprocal of the derivative of the given curve.

Differentiating y = 14ax with respect to x, we get dy/dx = 14a. Taking the negative reciprocal, we have -dx/dy = 1/(14a). Rearranging the equation, we get dx/dy = -1/(14a).

This is a first-order linear differential equation, which can be solved by separating variables and integrating. Integrating both sides, we have ∫ dx = ∫ -1/(14a) dy. This simplifies to x = -y/(14a) + C, where C is the constant of integration.

To eliminate the constant of integration, we can express it as another function of y. Let C = F, where F is a constant. Rearranging the equation, we get x = -y/(14a) + F. This equation represents the family of curves that are orthogonal to the given curve y = 14ax.

The orthogonal trajectories of the curve y = 14ax are given by the equation y = -1/(14a) + F, where a is an arbitrary constant and F is a constant of integration. These curves intersect the given curve at right angles.

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Answer:

A. 90

Step-by-step explanation:

Correct on EDGE

Answer:

maybe 90

Step-by-step explanation:

By choosing c = 3 and n0 = 1, we have proven that 3n - 4 is lower bounded by 3 for all n ≥ 1.

To find a lower bound for 3n - 4, we need to find a constant c and a value n0 such that for all n ≥ n0,

the expression 3n - 4 is greater than or equal to c.

Let's choose c = 3 and n0 = 1.

For n ≥ 1, we have:

3n - 4 ≥ 3n - 4

Since 3n - 4 is equal to itself, it is greater than or equal to 3 for all n ≥ 1.

Therefore, by choosing c = 3 and n0 = 1, we have proven that 3n - 4 is lower bounded by 3 for all n ≥ 1.

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Answer:

3a+33

Step-by-step explanation:

Add 2a+1 to a+32