-20x+40=-20x+20 tiene solucion?

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

x-3

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1,

(f- g)(x) =  3x - 2  - ( 2x+1)

Distribute

            = 3x -2 -2x-1

Combine like terms

             x-3

The correct equation is p - 53 = 118.

⇒ p - 53 = 118

Therefore, the correct equation is p - 53 = 118.

We have a parallelogram and a half of circle.

\(A=\frac{\pi r^{2} }{2}\)

Approaching π to 3,14

parallelogram:

b=26

h=13

A=13*26

A=338

Half circle:

r=12

A=(3,14*12²)/2

A=226,08

Answer:

35000000000

Step-by-step explanation:

i used a calculator hope this helps

Answer:

Using distance formula :

AB = \(\displaystyle \sqrt{(10-1)^2 + (3 - 7)^2}\)

AB = \(\sqrt{81 + 16}\)

AB = 9.85 units

Answer:

y= 3x  m= 3, b= 0

y= -1.5x-4  m= -1.5, b= -4

y= 1.5x-7    m= -1.5, b= -7

y= 7  m= 0, b= 7

y= -3x +4   m= -3, b=4

Hope this helps..

Answer:

69.08 yd

Step-by-step explanation:

From what I have learnt:

The number has an ending so it is rational

Irrational numbers don't end, e.g. π (3.1415926...)

If 40% of John's sales correspond to 120 bags of potatoes, 300 bags of potatoes correspond to 120%

To solve this problem, we can use a proportion. If 40% of John's sales correspond to 120 bags of potatoes, we can set up the following proportion:

40/100 = 120/x

Here, x represents the number of bags of potatoes that correspond to 120% of John's sales. To solve for x, we can cross-multiply and simplify:

40x = 12000

x = 300

Therefore, 300 bags of potatoes correspond to 120% of John's sales. This means that if John's sales increase by 20% (from 100% to 120%), he would sell 300 bags of potatoes.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Hence the given statement  that there exists an s such that for any r > s there exists an m 2 n such that for all n m we have x n < r is proved.

What is non-decreasing sequence?

Non-decreasing sequences are a generalization of binary covering arrays, which has made research on non-decreasing sequences important in both math and computer science.

Proof:

For n 2 N, let s = sup x n.

Then, there exists a m 2 N such that x m r for any r > s.

Given that x n is a non-decreasing sequence, we get x n r for any n > m.

As a result, there is a m 2 N such that for any n > m, x n r for any r > s.

Hence proved.

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Answer:

Probability ≈ 0.0833

Step-by-step explanation:

Consider steps below;

\(Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\\)

\(Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7\)

\(Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps!\)

Solution; Probability ≈ 0.0833

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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By RHS Congruence, ADC ≅ ADB

In mathematics, the term "congruence" is used in a variety of contexts, each denoting a harmonic relationship.

A geometric figure is said to be congruent or to be in the relation of congruence if it is possible to superimpose it on another so that its whole surfaces match.

When one of two right-angled triangles' hypotenuses and corresponding sides are the same length as the other triangle's corresponding hypotenuse and side, the two triangles are said to be congruent.

In triangles ADC and ADB, we have,

AC = AB { given }

∠ADC =  ∠ADB = 90 ° { right angle }

DC = DB { AD is the bisector of BC }

Hence, by RHS Congruence, ADC ≅ ADB

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Answer:

Find the roots of

x (2 − 24x) = 0 by solving for x.

x = 0 , 1/12

Answer:

d

Step-by-step explanation:

Answer: B

Step-by-step explanation: you have to multiply the 4 and 2

The equivalent perimeter expression is 3 * 3

From the question, we have the following parameters that can be used in our computation:

Side lengths = 3m, 3m and 3m

The perimeter of the triangle is the sum of the side lentths

So, we have

perimeter = 3 + 3 + 3

Using the distributive property, we have

Perimeter = 3 * 3

Hence, the perimeter expression is 3 * 3

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Complete question

The lengths of the sides of a triangle are represented by 3m, 3m and 3m.

Thus,  the taxi can take 792 different routes from the post office to the bank .

To determine the number of different routes the taxi can take from the post office to the bank, we need to use the concept of permutations and combinations.

Since the taxi needs to travel five blocks east and seven blocks north, we can think of it as a sequence of movements, where the taxi needs to move east five times and north seven times.

We can represent these movements using the letters E for east and N for north. So the sequence of movements can be written as EEEEENNNNNN. Now we need to determine how many different arrangements of this sequence are possible.

This can be done using the formula for permutations of n objects, where some of them are identical. In this case, we have 12 objects (5 E's and 7 N's), and some of them are identical (the 5 E's are indistinguishable from each other, and the 7 N's are indistinguishable from each other).

The formula for permutations with identical objects is n!/n1!n2!...nk!, where n is the total number of objects, and n1, n2,...,nk are the number of identical objects in each group. Applying this formula, we get:

12!/(5!7!) = 792

Therefore, there are 792 different routes that the taxi can take from the post office to the bank.

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Both Zola and Amir are correct in writing the area of the rectangle. They have simply used different ways of expressing the same value.

Zola and Amir have both written the area of a rectangle using different algebraic expressions.

Zola wrote the area of the rectangle as `2a + 3a + 4a`, which can be simplified using the distributive property of multiplication:

2a + 3a + 4a = (2 + 3 + 4)a

Therefore, Zola's expression simplifies to `(2 + 3 + 4)a`, which is the same as Amir's expression.

Amir wrote the area of the rectangle as `(2 + 3 + 4) a`, which can also be simplified:

(2 + 3 + 4) a = 9a

Therefore, Amir's expression simplifies to `9a`, which is the same as the sum of the terms in Zola's expression.

Therefore, both Zola and Amir are correct in writing the area of the rectangle. They have simply used different ways of expressing the same value.

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PLEASE GIVE BRAINLIEST :)

Answer:

5x + 2

Step-by-step explanation:

Expanding the parentheses, we get:

9x + 5 - 4x - 3

Combining like terms, we get:

5x + 2

Therefore, (9x+5) - (4x+3)

simplifies to

5x+2.

Answer:

5x+2

Step by Step explanation:

(9x + 5) - (4x + 3)

Remove Brackets

9x + 5 - (4x + 3)

-(4x + 3): -4x - 3

9x + 5 - 4x - 3

[Simplify] 9x + 5 - 4x - 3: 5x + 2

5x + 2

The exact length of the curve is \(& \mathbf{L}=\mathbf{e}^5+\mathbf{4}\).

Let the given equation is \(x=e^t-t, y=4 e^{\frac{t}{2}}, 0 \leq t \leq 5\).

Length of Parametric Curve: A parametric curve is a function expressed in components form, such that x=f(t),y=g(t). The length of a parametric curve on the interval a ≤ t ≤ b is given by the definite integral \($L=\int_a^b \sqrt{\left(\frac{d x}{d t}\right)^2+\left(\frac{d y}{d t}\right)^2} d t$\)

Let’s begin by getting the first derivative of the components of the function with respect to the variable t.

\($$\begin{aligned}x & =e^t-t, y=4 e^{\frac{t}{2}} \\\frac{d x}{d t} & =\frac{d}{d t}\left(e^t-t\right)=\frac{d}{d t}\left(e^t\right)-\frac{d}{d t}(t)=e^t-1 \\\frac{d y}{d t} & =\frac{d}{d t}\left(4 e^{\frac{t}{2}}\right)=\left(4 e^{\frac{t}{2}}\right) \frac{d}{d t}\left(\frac{t}{2}\right)=\left(4 e^{\frac{t}{2}}\right)\left(\frac{1}{2}\right)=2 e^{\frac{t}{2}}\end{aligned}$$\)

Substitute the derivatives into the following definite integral which computes the length of the parametric curve on the interval [a,b]=[0,5].

\($$\begin{aligned}L & =\int_a^b \sqrt{\left(\frac{d x}{d t}\right)^2+\left(\frac{d y}{d t}\right)^2} d t \\& =\int_0^5 \sqrt{\left(e^t-1\right)^2+\left(2 e^{\frac{t}{2}}\right)^2} d t \\& =\int_0^5 \sqrt{\left(e^{2 t}-2 e^t+1\right)+\left(4 e^t\right)} d t \\& =\int_0^5 \sqrt{\left(e^{2 t}+2 e^t+1\right)} d t \\& =\int_0^5 \sqrt{\left(e^t+1\right)^2} d t \\& =\int_0^5\left(e^t+1\right) d t\end{aligned}$$\)

We need to find the value of the definite integral to get the exact length of the curve.

Take out the limits of integration and evaluate the resulting indefinite integral to solve.

\($$\begin{aligned}L & =\left.\left[\int\left(e^t+1\right) d t\right]\right|_0 ^5 \\& =\left.\left[\int e^t d t+\int 1 d t\right]\right|_0 ^5 \\& =\left.\left[e^t+t\right]\right|_0 ^5\end{aligned}$$\)

Evaluate the solution at the limits of integration to get the length.

\($$\begin{aligned}& L=\left[e^{(5)}+(5)\right]-\left[e^{(0)}+(0)\right] \\& L=\left(e^5+5\right)-\left(e^0+0\right) \\& L=e^5+5-(1+0) \\& L=e^5+5-1 \\& \mathbf{L}=\mathbf{e}^5+\mathbf{4}\end{aligned}$$\)

Therefore, the exact length of the curve is \(& \mathbf{L}=\mathbf{e}^5+\mathbf{4}\).

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Answer:

235or 236

Step-by-step explanation:

A cone has a radius of 5 cm

a height of 9 cm

Volume of cone =1/3πr^2h

=1/3×3.14×5×5×9

= 3.14×25×3

=3.14×75

=235.5

=235or 236 is the answer

The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.

Given data, The upfront cost of the project is $900,000Year 1 revenues

= $800,000Year

2 revenues = $1,500,000 Year

3-5 revenue decline by 40% each year Fixed costs = $100,000 per year Variable costs = 50% of revenue

Year-wise cash flows: Year 0: -$900,000 Year

1: $800,000 - 50%($800,000) - $100,000 = $300,000Year

2: $1,500,000 - 50%($1,500,000) - $100,000 = $550,000Year

3: $0.6(1 - 0.4)($1,500,000) - 50%($0.6(1 - 0.4)($1,500,000)) - $100,000

= $210,000Year

4: $0.6(1 - 0.4)2($1,500,000) - 50%($0.6(1 - 0.4)2($1,500,000)) - $100,000 = $126,000Year

5: $0.6(1 - 0.4)3($1,500,000) - 50%($0.6(1 - 0.4)3($1,500,000)) - $100,000 = $75,600

Net cash flow in years 0-5 = -$900,000 + $300,000 + $550,000 + $210,000 + $126,000 + $75,600

= $362,600.

The following is the NPV profile of the project: For the cost of capital of 10%, the project's NPV can be calculated by discounting the cash flows by the cost of capital at 10%.

NPV = -$900,000 + $300,000/(1 + 0.10) + $550,000/(1 + 0.10)2 + $210,000/(1 + 0.10)3 + $126,000/(1 + 0.10)4 + $75,600/(1 + 0.10)5

= -$900,000 + $272,727.27 + $452,892.56 + $152,979.17 + $80,362.63 + $42,429.59

= $101,392.22

The project's NPV is $101,392.22 when the cost of capital is 10%.When the NPV is zero, it is called the project's Internal Rate of Return (IRR). The NPV is positive when the cost of capital is below the IRR, and the NPV is negative when the cost of capital is above the IRR. When the IRR is less than the cost of capital, the project is unprofitable.The following table shows the NPV of the project at various costs of capital:The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.

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Answer:

the lines arent parallel, so you cant use corresponding angles theorem

The error is corresponding property does not apply.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions. For example, the opposite sides of a rectangle represent parallel lines.

We know that when two lines are parallel they the following property:

As, there is no parallel lines line.

So, the measurement if <1 = 88 can't be true because corresponding doesn't apply.

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