The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed with a mean of 0.08 flaw per square meter. a) What is the probability that there are two flaws in one square meter of cloth? Round your answer to four decimal places (e.g. 98.7654). P= i b) What is the probability that there is one flaw in 10 square meters of cloth? Round your answer to four decimal places (e.g. 98.7654). P= i c) What is the probability that there are no flaws in 20 square meters of cloth? Round your answer to four decimal places (e.g. 98.7654). P= i d) What is the probability that there are at least two flaws in 10 square meters of of cloth? Round your answer to four decimal places (e.g. 98.7654). P= i

The oblique asymptote of the function is 7x

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

x² + x - 5 | 7x³ + 7x² + 4x - 2

When the polynomial is divided, we have

                7x

x² + x - 5 | 7x³ + 7x² + 4x - 2

                7x³ + 7x² - 35x

--------------------------------------------

                39x - 2

From the above, we have

Quotient = 7x

This means that the oblique asymptote is 7x

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Answer:

---------------------------------------------

n is an odd integer, let n = 2m + 1

Then

Answer:

(3,7π/6),(3,11π/6)

Step-by-step explanation:

You let

5 + 4 sin(θ) = −6 sin(θ)

Then get

θ= -1/2

Then you can make it

My english is not well,but my math is good

Answer:

D and E

Step-by-step explanation:

Edge 2020

Answer:

i need more info

Step-by-step explanation:

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

x−4

Step-by-step explanation:

The number of positive and negative real roots of the function

x³ - x² - x - 5 are 1 and 2 respectively.

What is Descartes' Rule?

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeros in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.

Number of positive real roots of f(x) ≤ Number of sign changes f(x)

Number of negative roots of f(x) ≤ Number of sign changes of f(-x)

According to the given questions:

The given polynomial function f(x) = x³ - x² - x - 5

We can observe the number of sign changes in the coefficients

The sign changes only once

hence there is one positive real root

Now, f(-x) = -x³ + x² - x + 5

Clearly sign changes 2 times evenly

Therefore the function has 2 negative real roots

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The explicit, exponential, and recursive functions that define this geometric sequence include the following:

exponential     ⇒ \(f(n)=9(\frac{1}{3} )^n\)

explicit             ⇒ \(f(n)=9(\frac{1}{3} )^{n-1}\)

recursive         ⇒ \(f(1)=9\\f(n)=\frac{1}{3} f(n-1), for \;n\ge2\)

In Mathematics and Geometry, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 3/9

Common ratio, r = 1/3

For the exponential function, we have:

\(f(n) = a_1(r)^n\\\\f(n)=9(\frac{1}{3} )^n\)

For the explicit function, we have:

aₙ = a₁rⁿ⁻¹

\(f(n)=9(\frac{1}{3} )^{n-1}\)

Now, we can write the recursive function as follows;

f(1) = 9

f(n) = ⅓f(n - 1), for n ≥ 2.

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The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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Answer:

6 cubic meters

Step-by-step explanation:

At the beginning of a population study, the population of a large city was 1.65 million people. three years later, the population was 1.74 million people. assume that population grows according to an uninhibited exponential growth model.The population is growing at a rate of 0.0193 or 1.93%.

Firstly, we need to calculate the population growth rate per year to calculate the future population growth rate. We will use the following formula to calculate population growth:

\({P (t) = P_0 \times (1 + r) ^ t}\)

where, P0 is the starting population,

P (t) is the population after 't' years,

r is the growth rate, and t is time.

Let us substitute the given values in the formula.

P0 = 1.65 million people

P(3) = 1.74 million people

We can find the growth rate by solving for

\(r.{P (t) = P_0 \times (1 + r) ^ t}P (3) = P_0 \times (1 + r) ^ 3(1.74) = (1.65) \times (1 + r) ^{30n}\)

solving the above equation, we get:

r = 0.0165

which is equivalent to 1.65%Now that we have the growth rate per year, we can find the population growth rate five years after the start of the population study.

\({P (t) = P_0 \times (1 + r) ^ t}P (5) = 1.65 \times (1 + 0.0165) ^{5P (5)}  = 1.87\) million people

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Answer:

Today: Thursday, 15 October 2020

Hour: 04.17 WIB (in Indonesian)

____________________________

-2.73 = -042r

r = -2.73/0.42

r = 6.5

Answer:

r = 13/2

hope this is grateful

​

The roots of the quadratic and cubic powers are listed below:

x = 3√10, p = ∛90, z = 1, y = 1, w = 6, h = 4

In this question we need to determine the roots of quadratic and cubic powers, whose results can be determined by power and sign laws from algebra:

Sign laws

(- a) · b = - a · b

(- a) · (- b) = a · b

Power laws

a · a = a²

a · a · a = a³

Then, the roots of each power are, respectively:

x² = 90

x · x = √90 · √90

x · x = (√18 · √5) · (√18 · √5)

x · x = 3√10 · 3√10

x = 3√10

p³ = 90

p · p · p = ∛90 · ∛90 · ∛90

p = ∛90

z² = 1

z · z = 1 · 1

z = 1

y³ = 1

y · y · y = 1 · 1 · 1

y = 1

w² = 36

w · w = √36 · √36

w · w = 6 · 6

w = 6

h³ = 64

h · h · h = ∛64 · ∛64 · ∛64

h · h · h = 4 · 4 · 4

h = 4

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The required simplified expression result of (-4x+4) is subtracted from (-9x-7) is -5x -11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The expression (-9x-7) - (-4x+4) can be simplified as follows:
First, we'll combine the like terms:

-9x - 7 - (-4x + 4)

Next, we'll use the distributive property to simplify the right side:
-9x - 7 - (-4x) + 4

Combining like terms on the right side:
-9x - 7 + 4x - 4

Combining the remaining terms:
-5x -11

Thus, the requried simplified expression is given as -5x-11.

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Hey there!

The answer to your question is \(4x^2+2x-2\)

Given:

\(x^2-3x+7\) \(and\) \(3x^2 +5x-9\)

First, we can start by adding like terms. The following are like terms:

\(x^2\) \(and\) \(3x^2\)

\(-3x\) \(and\) \(5x\)

\(7\) \(and\) \(-9\)

Now, we can add these pairs together, giving us:

\(4x^2\)

\(2x\)

\(-2\)

Now, add all this together, and we get our answer as:

\(4x^2 + 2x - 2\)

Have a terrificly amazing day!

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

\((sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25\)

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

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Answer:

The answer to your problem is, 7192 feet

Step-by-step explanation:

The height of the plane from the ground is given as:

H = 1125 ft

Here let say the distance is " d ". ( D = Distance )

Which is:

\(\frac{H}{d} sin\)θ

Then, d = \(\frac{H}{sin0}\)

We will have:

d = \(\frac{1125}{sin9}\)

d = 7192 feet

Thus the answer to your problem is, 7192 feet

The system of inequality for the problem is

x +  y ≤ 12

22x + 10y ≥ 170

y ≥ 2

And we have identified the solution of these inequality as (4.167,7.833)

System of inequality

System of inequalities consists of at least two linear inequalities in the same variables. And the solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Given,

Abigail is working two summer jobs, making $22 per hour tutoring and making $10 per hour landscaping. In a given week, she can work a maximum of 12 total hours and must earn at least $170. Also, she must work a minimum of 2 hours landscaping.

Here we need to find the system f inequality, then plot it on the graph to identify the solution of it.

Let us consider the following:

x refers the number of hours spent tutoring

y refers the number of hours spent landscaping.

Cost for 1 hour of tutoring = $22

Cost for 1 hour of landscaping = $10

So, we know that, she can work a maximum of 12 total hours, so it can be written as,

x + y ≤ 12

And she must earn at least $170,

22x + 10y ≥ 170

Here we also know that, she must work a minimum of 2 hours landscaping, so,

y ≥ 2

When we plot these inequality then we get he graph like the following.

While we looking into the graph, we have identified that the solution is (4.167,7.833) which means 4.167 hours of tutoring and 7.833 hours of landscaping will earn $170.

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The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Answer:

y-(-8) = 7(x-3) or

y+8 = 7(x-3)

To find h(6), we have to evaluate the given function when x = 6.

The association in this graph can best be described as C. Negative linear.

A negative linear association is one that moves from the left to the right. In this kind of association, the predictor increases while the response decreases. The linear nature of this association is seen in the straight line formed from the plot.

A positive linear association would fall from the right towards the left side and a non-linear association will form a curve. So, the association in the table is negative linear.

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Answer:

Step-by-step explanation:

B.

Answer: =−13x+21

Step-by-step explanation: Hope this help :D

Let's simplify step-by-step.

x−7(2x−3)

Distribute:

=x+(−7)(2x)+(−7)(−3)

=x+-14x+21

Combine Like Terms:

=x+−14x+21

=(x+−14x)+(21)

=−13x+21

Answer:

Vertical Asymptotes: x=-5

Horizontal Asymptotes: y=7

Answer:

\((x+2)^{2} +(y+2)^{2} =9\)

Step-by-step explanation:

the equation of circle:

center:(-2,-2)

The distance between the center and the side:3

So, the radius is 3

(x-h)^2+(y-k)^2=r^2

\((x - - 2)^{2} +(y- - 2)^{2} =3^{2}\)

\((X+2)^{2} +(y+2)^{2} =9\)