What is 0.08 divided by 280

Answer:

Harry

Step-by-step explanation:

he has the lowest time

The range of (X,Y) is the region where x+y<1 and x,y≥0. This forms a triangle with vertices at (0,0), (0,1), and (1,0).

To find c, we integrate the joint PDF over the range of (X,Y) and set it equal to 1. This gives us c=2. The marginal PDFs are found by integrating the joint PDF over the other variable.

fX(x) = ∫(0 to 1-x) (2x+1)dy = 2x + 1 - 2x² - x³, and fY(y) = ∫(0 to 1-y) (2y+1)dx = 2y + 1 - y² - 2y³.

To find P(Y<2X²), we integrate the joint PDF over the region where y<2x² and x+y<1. This gives us P(Y<2X²) = ∫(0 to 1/2) ∫(0 to √(y/2)) (2x+1) dx dy + ∫(1/2 to 1) ∫(0 to 1-y) (2x+1) dx dy = 13/24.

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Answer:

1.55 x − 2.16

Step-by-step explanation:

Answer:

1.55 x - 2.16

Step-by-step explanation:

Answer:   " x = 0.4191113191843072889 ;  0.4191113191843072889 " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

Given:

___________

 " (4x² − 1)(x+3) − (2x² − 1)(2x+1) = x² " ;  Solve for "x" ;

___________

First, factor:

"(4x² − 1)" ;

= 4 x² − 2x − 2x − 1 ;

→ 2 x(2x +1) − 1(2x +1) ;

= (2x − 1)(2x + 1) .

___________

Now, rewrite:

___________

" (4x² − 1)(x+3) − (2x² − 1)(2x+1) = x² " ;

by substituting for:  "(4x² − 1)" ; as follows:

____________________

" (2x − 1)(2x + 1)(x+3) − (2x² − 1)(2x + 1) " ;

  =  " [(2x − 1)(x + 3) − (2x² − 1)] * (2x +1) = x² ;

___________

 Start with:

 "(2x − 1)(x + 3)" ;

___________

Note:  "(a + b)(c+d) = ac + ad + bc + bd " ;

___________

 →  (2x*x) + (2x*3)  + (-1*x) + (-1*3) ;

        =  2x² + 6x + (-1x) + (-3) ;

        =  2x² + 6x − 1x − 3 ;  

{Note: "Adding a negative is the same as "subtracting a positive."}.

            → Combine the "like terms":

                 + 6x − 1x = + 5x ;

and rewrite:

        =  2x² + 5x − 3 ;  

Now, rewrite the entire equation:

         →  [2x² + 5x − 3 − (2x² − 1)] * (2x +1) = x² ;

Now, consider this equation:

___________

         →  [2x² + 5x − 3 − 1(2x² − 1)] * (2x +1) = x² ;

   Now,  let us consider the:

          "  − 1(2x² − 1)] " ;

Take note of the "distributive property of multiplication" :

___________

       →  a(b + c) = ab + ac ;

___________

       → -1 [2x² + (-1) ] = (-1*2x²) + (-1* -1) ;

                                =  - 2x² + 1 ;

Now, we can rewrite the entire equation:

___________

       →  " (2x² + 5x − 3 − 2x² + 1) * (2x +1) = x² " ;

Now, consider the following part:

       →  " (2x² + 5x − 3 − 2x² + 1) " ;

          →  Combine the "like terms" :

               + 2x² − 2x² = 0 ;

               − 3 + 1 =  - 2 ;

→ and rewrite this part:

→  " ( 5x − 2) " ;

Now, we can rewrite the entire equation:

___________

       →  " (5x − 2) (2x + 1) = x² " ;

___________

Now, for the "left-hand side" of the equation:

___________

Note:  "(a + b)(c+d) = ac + ad + bc + bd " ;

___________

 →  " (5x − 2) (2x + 1) = (5x*2x) + (5x*1) +(-2*2x) + (-2*1) ;

                                 =    10x²  +  5x + (-4x)  +  (-2) ;

                                 =    10x²  +  5x  − 4x   − 2 ;

                        →  "Combine the "like terms" :

                                   + 5x  − 4x = + 1x '

                                 → and rewrite the expression:

                                 =    10x²  + 1x  − 2 ;

Now, we can rewrite the entire equation:

___________

             →   10x²  + 1x  − 2  =  x² ;

___________

Subtract:  "x² " ;  from Each Side of the equation:

___________

              →   10x²  + 1x  − 2 − x²  =  x² − x² ;

     to get:

              →    9x²  + 1x − 2 = 0 ; Solve for "x" ;

___________

      This equation is written in "quadratic format":

              →  " ax² + bx + c = 0 " ; {a ≠ 0} ;

          →  in which:  " a = 9  ; b = 1 ; c = -2 " ;

To solve for "x" using the "quadratic equation formula"

          →  x = {-b ± √(b² − 4ac) } /  {2a} ;   Plug in our known values:

              x = { -1 ± √(1² − 4(9)(-2) } /  {2*9} ;

              x = { -1 ± √[1 − (-72)} /  {18} ;

              x = { -1 ± √[1 +72} /  {18} ;

              x =  (-1  ± √73) / 18 ;

___________

     " x =  (-1 +√73)/18 ;  (-1 −√73) / 18 "  .

___________

Using calculator:

___________

 "  x = 0.4191113191843072889 ;  0.4191113191843072889 " .

___________

Hope this helps!

Good luck to you!

___________

Answer:

Step-by-step explanation:

The equation will become

y = (x - 7 + 4)^2

The -7 will translate the whole graph 7 units to the right.

Answer:

The graph will move seven units to the right

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)

Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.


P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:

P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)

P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.

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Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.

P(X ≥ k) = 1 - P(X < k)

where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.

We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.

P(X=k) = nCk * pk * (1-p)n-k

where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:

P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125

P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375

P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438

P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875

P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375

P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125

P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875

P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805

Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

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Answer:

Obliviousness: Being unaware of something.

The probability of rolling a triangle is 2 out of 10, or 0.2, or 20%.

Answer:

y = 8x + 3

Step-by-step explanation:

here, m is the slope and b is the y-intercept.

      m = 8 and b = 3

          y = 8x + 3

Answer:

B

Step-by-step explanation:

Given

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

Each term in the second factor is multiplied by each term in the first factor, that is

4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis

= 12x² - 16x + 9x - 12 ← collect like terms

= 12x² - 7x - 12

The coefficient of the x- term is - 7 → B

The value of {x] would be 55°.

Tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not.

Given is circle as shown in the image.

Let the point of origin of tangents be {A} an the point where the other tangent touches the circle is {M}. Now -

In ΔONA and ΔOMA -

AM = AN                   {Equal tangent theorem}

ON = OM                  {Radius}

OA = OA                   {Common}

By SSS criterion, the triangles are congruent. So -

∠MAO = x/2                                   ... { 1 }

∠MOA = 157/2 = 76.5                           ... { 2 }

In triangle OAM -

(x/2) + (76.5) + 90 = 180

x/2 + 166.5 = 180

x/2 = 27.5

x = 55°

Therefore, the value of {x] would be 55°.

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Answer:

??

Step-by-step explanation:

where is the question

The increase, in percentage form, is of the 98%.

Suppose we have an initial value A, such that A is equivalent to the 100%.

If we multiply A by 1.98, we get:

1.98*A = 1.98*100% = 198%

Then the increase is given by:

1.98*A - A = 0.98*A ⇒ 198% - 100% = 98%

The increase is of the 98%.

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After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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I believe the answer is 240 m.

To find the area make sure you multiply the base and the width.

4x8=32

Then you have to multiply 32 by the height.

32x7.5=240

Hope this helps!!!

Answer:

(4,3)

Step-by-step explanation:

Solve the equation:

3<2(4)-5

3<8-5

❌3<3 ❌

3 is not less than three, hence this is the phony

i hope this helps!

Answer:

(x+12)^2=84

Step-by-step explanation:

x^2+24x+60=0

x^2+24x=-60

x^2+24x+(24/2)^2=-60+(24/2)^2

(x+24/2)^2=84

(x+12)^2=84 (ans)

The value of c is 21.8.

We can solve for c by simplifying the expression on the right side of the equation and equating it to the expression on the left side.

Starting with the right side, we distribute the 3 across the parentheses:

5 * 3 * (4x - 2.6) = 60x - 13

Now, we can set this equal to the expression on the left and solve for c:

21.2x + c = 60x - 13

c = 60x - 13 - 21.2x

c = 38.8x - 13

However, we are asked to find the value of c, not in terms of x. Since we were not given a specific value for x, we cannot solve for c exactly. Therefore, we can only express the value of c in terms of x, which is c = 38.8x - 13.

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Check the picture below.

The first integral, \(\( \int x^{6}\left(1-4 x^{2}+x^{3}\right) d x \)\) is equal to \(\( \frac{1}{7} x^{7} - \frac{4}{9} x^{9} + \frac{1}{10} x^{10} + C \),\)    the second integral, \(\( \int(6-2 u)^{2} d u \)\) is equal to \(\( 36u - 12u^2 + \frac{4}{3}u^3 + C \)\), where \(\( C \)\) is the constant of integration.

For the first integral, \(\( \int x^{6}\left(1-4 x^{2}+x^{3}\right) d x \)\), we can expand the expression inside the integral to get \(\( \int x^{6}-4 x^{8}+x^{9} d x \)\). Now we can integrate each term separately using the power rule of integration. The integral of \(\( x^{6} \)\) is \(\( \frac{1}{7} x^{7} \)\), the integral of \(\( -4 x^{8} \)\) is \(\( -\frac{4}{9} x^{9} \)\), and the integral of \(\( x^{9} \) is \( \frac{1}{10} x^{10} \)\). Applying linearity of integration, we add up these integrals to get the final result: \(\( \frac{1}{7} x^{7} - \frac{4}{9} x^{9} + \frac{1}{10} x^{10} + C \),\) where \(\( C \)\) is the constant of integration.

For the second integral, \(\( \int(6-2 u)^{2} d u \)\), we can expand the square to get\(\( \int (36 - 24u + 4u^2) d u \)\). Now we can integrate each term using the power rule of integration. The integral of 36 is 36u , the integral of  -24u is\(\( -12u^2 \)\), and the integral of \(\( 4u^2 \)\) is \(\( \frac{4}{3}u^3 \)\). Adding up these integrals, we get the final result: \(\( 36u - 12u^2 + \frac{4}{3}u^3 + C \)\), where \(\( C \)\) is the constant of integration.

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Answer:

Step-by-step explanation:

me no clue i have sam question

Answer:

Rational

Step-by-step explanation:

If you can write it as a fraction (=ratio), it is rational.

-6/10 = -0.6

The area covered by 19, 602 square feet in acres is around 0.45, according to the relation between the two.

As per the known relation between acre and square foot, the two quantities are related through the formula -

1 acre is equal to 43, 560 square feet

Therefore, formula to convert square feet to acre will be -

Amount of area in acres = area covered in square feet/unit equivalent area in square feet

So, rewriting the above mentioned relation.

43, 560 square feet is equal to 1 acre

Thus, 19, 602 square feet will be equal to acres = 19, 602/43, 560

Performing division on Right Hand Side of the equation

The amount of area in acres = 0.45 acres

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Step-by-step explanation:

it's 452.16 because it's the closest estimate