at a particular pressure and temperature, it takes 4.55 min for a 1.5-l sample of he to effuse through a porous membrane. how long does it take for 1.5 l of f2 to effuse under the same conditions?

The probability that someone who tests negative does not have the disease is 0.8451

Given that,

The information shows the outcomes of a test for a specific illness. Assume a member of the group is chosen at random.

From given data table,

N = 144+ 22 + 14+ 120 = 300

n(not disease) = 22 + 120 = 142

n( negative And not disease) = 120

P( Not disease) = 142/300

P( Negative and not disease) = 120/300

Therefore,

P(Negative/ not ..disease) =[tex]\frac{P(Negative and not,.disease)}{P(Not ,.disease)}[/tex]

                                                                 =[tex]\frac{120/300}{142/300}[/tex]

                                                                  =[tex]\frac{120}{142}[/tex]

                                                                   =0.8451

Hence, The probability approximately is 0.8451

Hence, the probability that someone who tests negative does not have the disease is 0.8451

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2n(n−1)!  ways n couples around a circular table such that no couple sits next to each other.

What is combination?

Depends on how you consider two ways as different ways.

In case you still feel confused, take 2 for example. We have plan AaBb, AabB, aABb and aAbB

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The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.

The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.

The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,

t = x²/2D

Where,

t is the diffusion time,

x is the thickness of the membrane,

D is the diffusion coefficient.

Putting values,

t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹

t = 10⁻⁷/4

t = 25 x 10⁻⁹ seconds.

t = 25 uS.

so, the diffusion time is 25uS.

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The solution set is {x | x < [tex]\frac{22}{5}[/tex]}.of the given evaluation.

The solution set of an equation is, however defined as the set of all solutions that satisfy the equation and since that set has no members the solution set is empty.

Given:  [tex]\frac{5x}{11}[/tex][tex]< 2[/tex]

         = [tex]5x < 22[/tex]

         = [tex]x < \frac{22}{5}[/tex]

Hence, the correct solution set is {x | x < [tex]\frac{22}{5}[/tex]}.

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Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

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The required maximum volume of the box would be 85184 cube units.

The surface area of a box is the total area of all of the box's faces. For a box with a square base and no top, the surface area is equal to the sum of the areas of the four sides and the bottom.

To find the maximum volume of such a box, we can first find the length of one side of the square base. We can do this by dividing the given surface area by the number of sides of the box.

In this case, the box has 4 sides plus the bottom, so the length of one side is 220 / 5 = 44.

We can now use the length of one side to find the maximum volume of the box. The volume of a box with a square base and no top is equal to the length of one side cubed.

The length of one side is 44, so the maximum volume of the box is :

⇒ 44 × 44 × 44  = 85184.

Therefore, the maximum volume of the box is 85184 cube units.

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Answer: x^2 (x+1) (4x-9)

Step-by-step explanation:

We can test the equation above x^2 (x+1) (4x-9) to see if it is true or not by rewriting it

x^2 ( 4x^2 -9x +4x -9)

x^2 (4x^2 - 5x -9)

4x^4 - 5x^3 - 9x^2

So x^2 (x+1) (4x-9) is the correct answer for this equation!

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Random variable

a. E (X+ Y) = 14.10

   E|(X – Y)| = 5.1

b. E[max(X ,Y )] = 9.60

   E[min(x, y)] = 4.5

Conversely, once Y=y is observed, we would more likely be interested in the quantity E(X∣Y=y)=ρy which is a scalar.

Maybe this seems like needless complication, but regarding E(X∣Y) as a random variable in its own right is what makes things like the tower-law E(X)=E[E(X∣Y)] make sense - the thing on the inside of the braces is random, so we can ask what its expectation is, whereas there is nothing random about E(X∣Y=y).

a. E (X+ Y)

=∑∑( x +y)p(x ,y)

= (0+0)(0+2) + (0 + 5)(.06) + … + (10 + 15)(.01)

= 14.10

E|(X – Y)| = ∑∑ |x – y| p(x,y)

= |(0-0)|(0.02) + |(0-5)|(0.06) + ……+ |(10-15)|(0.01)

= 5.1

b.

E[max(X ,Y )] = ∑∑max(x+y).p (x ,y)

= (0)(.02) + (5)(.06) +…+(15)(.01)

= 9.60

E[min(x, y)] = ∑∑ min (x,y) p(x,y)

= 0(0.02) + 0(0.06) + ……+ 10(0.14) + 10(0.01)

= 4.5

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Answer: unit rate is $0.16

1 bottle cost $0.16

Step-by-step explanation:

The measure of the angle I= is 50 degree

A triangle has three sides and a total interior angle of 180 degrees. Four-sided shapes like a square, rectangle, or quadrilateral have a total interior angle of 360 degrees. Other polygons have different angles and different numbers of sides, such as the pentagon, hexagon, heptagon, and octagon.

Compared to algebra, geometry requires less math, and the math that is needed is simpler. Geometry, on the other hand, necessitates the memorization of numerous rules and formulas, which for some students can be more challenging than fundamental algebra. Ask your teacher for assistance if you need it in a math class.

The ratio of the respective sides is proportional when two triangles are comparable to one another.

Additionally, the corresponding angles coincide.

Given in this case are B= 35° and C= 95°

the angle sum property now

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

130 is subtracted from both sides, giving us

A = 180 - 130

A = 50°.

Now

ABC and LMN

Consequently, in terms of similarity

A = L

But A = 50°.

Thus, L = 50°.

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The sales price of the coat is 67.5% of the original price

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

Markdown rate = 10%

Second discount = 25%

The retail price of the coat can be calculated using the following equation

Retail price = original price * (1 - Markdown rate) * (1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Retail price = original price * (1 - 10%) * (1 - 25%)

Evaluate the products

Retail price = original price * 0.675

Rewrite as

Retail price = 67.5% of the original price

Hence, the sales price is 67.5% of the original price

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Answer:

8

Step-by-step explanation:

2 : 1/4

2 x 4/1

2 x 4

8

Answer:

60 minutes. (1 hour)

Step-by-step explanation:

An average recreational tank containing 200 bars or 12 L of air should last you for 60 minutes. However, several factors come into play while determining the lifespan of a scuba air cylinder. The amount of air that a diver needs depends on their air consumption rate, which in turn is based on their physical exertion level.

Answer: you have to say at what rate. we cant answer this question. there is  part of this question that is missing.

Answer:centroid

Step-by-step explanation:

Answer:Centroid I hope this helpful to you mark me brainlist if correct

Step-by-step explanation:

Hence, the correct statement is "The Centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side."The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangleCentroid theorem: the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. That is, the distance from the centroid to each vertex is 2/3 the length of each median. This is true for every triangleThe centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).

1.not proportional

2.proportional:

Step-by-step explanation:

the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y

The interest rate is -42.3%, where the negative sign indicates depreciation.

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

Given that, the investment of $1800 in the stock market is $278 in two years.

Therefore, the amount depreciated is:

278 - 1800

= -1522

Since 1522 is depreciated in 2 years, the amount depreciated in one year is:
1522/2

= 761

The rate at which the amount depreciated is:

(761/1800)×100%

= 42.3%

Hence, the interest rate is -42.3%, where the negative sign indicates depreciation.

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Answer:

The answer is -x^2-4x

Step-by-step explanation:

Carol had four times as many coins as Eli had, or a 4:1 ratio.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, if there is 1 male and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every guy), meaning that there are 1 in 4 boys and 3 in 4 girls. A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

Here,

Dan has twice what Eli has ( D= 2 x E )

Carol had twice what Dan had ( C = 2 x D )

for example , let's suppose Eli had 2 coins

this means Dan had 4 coins,

and Carol had 8 coins .

carol 8 : 2 Eli

=4:1

The ratio in which carol had to the number of coin eli had will be 4:1.

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By using the concept of maxima,  it can be  determined that

[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]

[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]

[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]

[tex]f_{yy} = -2[/tex]

[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]

Critical point with the smallest x - coordinate

(0, [tex]\frac{11}{2}[/tex])

Classification cannot be determined

Critical point with the next smallest x - coordinate

(1, 6)

Classification is local maxima

What is maxima of a function?

Maxima of a function gives the maximum value of a function in a given interval or within the whole domain.

f(x, y) = [tex]y\sqrt{x} -y^2 -3x + 11y[/tex]

[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]

[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]

Putting x = 0 in [tex]f_y(x, y) = 0[/tex],

-2y + 11 = 0

[tex]y = \frac{11}{2}[/tex]

[tex](0, \frac{11}{2})[/tex] is a critical point

Putting [tex]f_x(x, y) = 0[/tex] and [tex]f_y(x, y) = 0[/tex]

[tex]\frac{y}{2\sqrt{x}} - 3 = 0\\\frac{y}{2\sqrt{x}} = 3\\y = 6\sqrt{x}[/tex]

[tex]\sqrt{x} - 2y+11 = 0\\\sqrt{x} -2\times 6\sqrt{x}+11=0\\\sqrt{x}-12\sqrt{x} + 11 = 0\\11\sqrt{x} = 11\\\sqrt{x} = \frac{11}{11}\\\sqrt{x} = 1\\x = 1[/tex]

When x = 1, y = [tex]6 \times \sqrt{1} = 6[/tex]

(1, 6) is a critical point

[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]

[tex]f_{yy} = -2[/tex]

[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]

The point (0, [tex]\frac{11}{2}[/tex]) is undefined in the second order partial derivative

For the critical point (1, 6)

[tex]f_{xx}(1, 6) = -\frac{1}{4}\\f_{yy}(1, 6) = -2\\f_{xy}(1, 6) = \frac{1}{2}[/tex]

[tex]f_{xx}f_{yy}-(f_{xy})^2[/tex]

[tex]-\frac{1}{4}\times -2-(\frac{1}{2})^2\\\frac{1}{2} - \frac{1}{4}\\\frac{1}{4} > 0[/tex]

[tex]f_{yy} = -2 < 0[/tex]

Hence (1, 6) is a point of local maxima

So it can be  determined that

[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]

[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]

[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]

[tex]f_{yy} = -2[/tex]

[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]

Critical point with the smallest x - coordinate

(0, [tex]\frac{11}{2}[/tex])

Classification cannot be determined

Critical point with the next smallest x - coordinate

(1, 6)

Classification is local maxima

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Answer:

Step-by-step explanation: 347000 * 6.5% * 20%= 347000*0.065*0.2=4511

Answer is 4511

Answer:

$4,511

the agency makes 6.5% of 347000 which is 22,555 and the agent makes 20 percent of what the agency makes.

so 20% of 22,555 is 4511

Answer:

Below

Step-by-step explanation:

six possible rolls    1  2  3  4  5  6     only two are > 4     ( 5 and 6)

  2 out of 6 = 1/3 chance

Answer: A one out of six chance for the number four to be rolled.

Step-by-step explanation:

A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.

The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Here,

area of sector=θ/360°*πr²

θ=5/11*180/π

θ=26.04 degree

area=15 m²

15=26.04/360*3.14*r²

15=0.227r²

r²=66.08 m²

r=8.13 m

The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.

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Answer:  g(x) = -x^2 -3

Step-by-step explanation:

We know that the y-intercept is -3, so we can eliminate the first 2 answers. For the last two answers, c is wrong because it is a negative slope and if we square root it, it will become a positive slope our graph slope is not positive, so the answer is d.

Answer: V=πr2h

3

Step-by-step explanation: Your spelling is a bit off

In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.

If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:

Total number of People = 1000

Chances of winning the lottery = 1%

How many people would win 10 dollar lottery = 1000 * 1%

= 1000 * 0.01

= 10 People.

So there are chances that 10 out of 1000 people will win the lottery.

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If resources are unlimited, population will increase exponentially. A logistic growth happens as those resources are less readily available.

Exponential Growth:

Logistic Growth:

Thus, there are several key distinctions between populations growing logistically and those growing exponentially.

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Answer: The correct answer is h=a/4b^5

Step-by-step explanation:

Solve for h

a=4b^5h

Flip the equation

4b^5h=a

Divide both sides by 4b^5

4b^5h/4b^5 = a/4b^5

h=a/4b^5

Answer:

Step-by-step explanation:

c=45(2c−)=2(c+11)

We can't solve that type of equation or it may contain an error

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