Select the vector along wich a translation of the plane would map point A to its image T (A)

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

En este problema:

Diseño de 2 componentes:

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

Answer:

3/2(x+3/4)-x-1

Step-by-step explanation:

Remove the parenthesis

Answer:

9%

Step-by-step explanation:

There are 100 boxes and only 9 are shaded so a fraction of that would be 9/100 so if you convert that to a percentage it would be 9% of the boxes

so therefor 9% is you answer

hope this helped

BRANLIEST?

The model is considered to be expressing the equation "9 x 0.1 = 0.9".

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

A 10 by 10 grid is shown with the first 9 columns shaded. The top row is also shaded in a different color. The first 9 squares of the top row overlap with the 9 shaded columns.

It looks like the model is showing the equation "9 x 0.1 = 0.9".

The "9" is shown by the 9 shaded columns on the grid. The "0.1" is shown by the top row of the grid, which is shaded differently from the rest of the grid. The "0.9" is shown by the 9 shaded squares in the top row, which overlap with the 9 shaded columns.

The final product of the equation is 0.9.

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Answer:

0.13

Step-by-step explanation:

Answer:

Briana would get $70 in 8 hours and $350 in 40 hours.

Step-by-step explanation:

Multiply 8.75 by 8 to get $70

Multiply 8.75 by 40 to get $350

Hope this helps!!

Answer:

70$ in 8 hours and 350$ in 40 hours

Step-by-step explanation:

8.75 + 0.25 = 9 X 8 = 72 - 2 = 70

0.25 X 8 = 2

8.75 + 0.25 = 9 X 40 = 360 - 10 = 350

0.25 X 40 = 10

Answer:

5

Step-by-step explanation:

y2-y1

--------

x2-x1

8/1.5=5

Answer:

60

Step-by-step explanation:

24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.

Answer:

someone is adding dont worrie

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the balloon was at 595 feet

595

then it dropped 495 feet

525-495= 30

the equals 30 means that it is currently 30 feet above the ground

and if it dropped another 15 feet it would not reach the ground, which is zero, the balloon would still be 15 feet above the ground

30-15= 15

so the balloon never reached zero

Answer:

A

Step-by-step explanation:

I took the quiz and got a 100, please mark brainlyiest

Answer:

David saved $15 per week

Jason saved $10 per week

Marcus saved $5 per week

(i divided y by x)

so David saved the most money throughout each week.

Answer:

w=8

w+p+l = 35

=8\35 =0.228

Answer:

The choice b.

[tex] \sin \: A = \frac{4}{5} [/tex]

Step-by-step explanation:

sinA = opposite/hypotenuse

[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]

Answer:

75 miles

Step-by-step explanation:

because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75

Answer:

75

Step-by-step explanation:

count by 25's

25+25=50

50+25=75

Answer:

C : 4.8 yards

Step-by-step explanation:

$26.40 ÷ $5.50

= 4.8

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can find the perfect squares that are closest to this by listing the perfect squares and seeing which two this square would be between, which is the square root of 36 and the square root of 49:

[tex]\sqrt{36} < \sqrt{40} < \sqrt{49}[/tex]

Answer:

45in & 87in^2

Step-by-step explanation:

W = 7*2.5in=17.5in

L = 2*2.5in=5in

Perimeter = 2(L+W)

2(5in+17.5in)

45in

Area = L*W

17.5in*5in=87in^2

Remember, Perimeter is linear while area is squared.

Answer:

x=-1.5

Step-by-step explanation:

To solve for x, you need to rearrange so the x is on one side of the "=" by itself.

So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.

The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.

The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.

I have attached a photograph of this method written out using the funnel technique.

Answer:

Step-by-step explanation:

Answer:

a) 300000 b)£200 c) 20000km

Step-by-step explanation:

If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:

[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]

Then differentiating yields

[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]

so that by the chain rule, if

[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]

then

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]

Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].

Recall that

[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]

and so the derivative of tanh(x) is

[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

where the last equality follows from the hyperbolic Pythagorean identity,

[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

Differentiating both sides of (•) implicitly with respect to x gives

[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]

So, the derivative we want is the somewhat messy expression

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]

and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.

In case you are interested, we have

[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]

and you can instead work on differentiating that; you would end up with

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

1 percent, or 20 marbles

Step-by-step explanation:

add all the other percentages and it sums up to 99%. and the other one percent of the marbles is 20.

Answer:

20 marbles

Step-by-step explanation:

61.5 + 27.5 + 10 = 99

this means 1% are neither red, white or blue

1% of 2000 is 20

Answer:

answer

First we need to write system of 2 equations with 2 variables:

x*6 + y*12.5 = 34

x+y = 3.5

for substitution we express one of variables in one of equations and put it in other equation.

x = 3.5-y

(3.5 - y)*6 + 12.5*y = 34

21 - 6y + 12.5y = 34

6.5y = 13

y = 2

x = 3.5 - y = 3.5 - 2 = 1.5

she ran for 1.5 hours and biked for 2 hours.

check:

1.5*6 + 2*12.5 = 9 + 25 = 34 = 34

Answer:

Step-by-step explanation:

37.203

-29.800

=36.203+1-29.800=36.2003-1+0.200=7.403

Answer:

Subtraction,... Below,...!

Step-by-step explanation:

37.203 - 29.800 = 7.403

Subtract like you where subtracting 37203 - 29800 you add the extra 0's to align the would-be decimal points...

37203 - 29800 = 7403

Answer: 7.403

Chow,...!

Answer:

5 1/2

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+1/2= 4.25

4.25 = 4 1/2

The number of 3/4 groups is 6.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total amount = 4(1/2) = 9/2

The number of groups.

= 9/2 ÷ 3/4

= 9/2 x 4/3

= 6

Thus,

There are 6 groups of 3/4.

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Answer:

She needs $55 more dollars

Step-by-step explanation:

Answer:

[tex]m + 130 = 165 \\ m = 165 - 130 = 35 \: dollars[/tex]