9. Six people arrive at a party (A, B, C, D, E, F). They arrive at different times. In how
many ways can they arrive? Find the probability that A arrives first and F arrives last.

By answering the above question, we may state that Romania $766.51 $646.96.80 leu 0.940 and by equation United States $4,141.00 $1,242.20 dollars 0.000 $4,141

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematics statement that proves the equality of two formalisms is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two statements that are inscribed on opposite sides of a letter. Frequently, the trademark and the particular software are identical. like in 2x - 4 = 2, for example.

z = (x - μ) / σ

where x is the $1,500 wage, is the average income across all countries, and is the standard deviation across all countries.

Country typical monthly income (U.S. dollars) Normative deviation (U.S. dollars) original money Z score for a mean income of $1,500 in dollars

Republic of the Czech 1,059 korunas, or $158.80, $1,096.89 -0.913

Latvia $790 Lats $118.60 $1,515.77 -0.877

$2,245 $673.60 in Korean Won $1,956.24 -0.498

Romania $766.51 $646.96.80 leu 0.940

United States $4,141.00 $1,242.20 dollars 0.000 $4,141

As $1,500 per month for Romania corresponds to the highest z score of 0.94, suggesting that the income is rather high compared to Romania's mean wage, the computer programmer from Romania will probably be the most happy with the offer.

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Answer:

(a) P(x < 2) = 0.871

(b) P(x ≥ 1) = 0.320

(c) P(1 ≤ x ≤ 3) = 0.299

Step-by-step explanation:

We are given the probability distribution of the number of dogs per household in a small town .

Dogs  |   Households  

0        |        0.680

1         |        0.191

2        |        0.079

3        |        0.029

4        |        0.0130

5        |        0.008

(a) Find the probability of randomly selecting a household that has fewer than two dogs.

Fewer than two dogs mean having 0 dog or 1 dog so

P(x < 2) = P(x = 0) + P(x = 1)

P(x < 2) = 0.680 + 0.191

P(x < 2) = 0.871

(b) Find the probability of randomly selecting a household that has at least one dog.

at least one dog means one or greater than one so

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

P(x ≥ 1) = 0.191 + 0.079 + 0.029 + 0.0130 + 0.008

P(x ≥ 1) = 0.320

Alternatively:

P(x ≥ 1) = 1 - P(x < 1)

P(x ≥ 1) = 1 - P(x = 0)

P(x ≥ 1) = 1 - 0.680

P(x ≥ 1) = 0.320

(c) Find the probability of randomly selecting a household that has between one and three​ dogs, inclusive.

P(1 ≤ x ≤ 3) = P(x = 1) + P(x = 2) + P(x = 3)

P(1 ≤ x ≤ 3) = 0.191 + 0.079 + 0.029

P(1 ≤ x ≤ 3) = 0.299

Answer:

K = 5 ; 125 m

Step-by-step explanation:

body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.

Given that:

Distance α (Timetaken)²

Distance = d ; Timetaken = t

d = Kt²

K = constant of proportionality

80 = k4²

80 = 16k

K = 80 / 16

K = 5

Distance it would fall in 5 seconds ; t = 5

D = Kt²

D = 5 * 5²

D = 5 * 25

D = 125

It will fall a distance of 125 m in 5 seconds.

Given -

To find -

Explanation -

Here as we are required to find the value of two different individuals hence first we will from 2 linear equations into two variables (taking each to be value as x and y or whatever you like, I will take them as a and b) will solve the equation by any method of your choice (explanation for them is in the link, below, it is given by the same me)

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Solution -

Let the sum of money that was given to each boy be a and the number of boys be b. Hence, the total no. of money distributed to b no. of boys is ab.

According to the question,

Scenario 1 -

➡ (a + 2)(b - 10) = ab

Solving it further,

➡ a(b - 10) + 2(b - 10)= ab

➡ ab - 10a + 2b - 20= ab

Cancelling ab,

➡ 10a - 2b + 20 = 0

➡ 10a = 2b - 20

➡ a = 2(b - 10)/10

➡ a = (b - 10)/5

Scenario 2 -

➡ (a - 2)(b + 15) = ab

Solving it further,

➡ a(b + 15) - 2(b + 15)= ab

➡ ab + 15a - 2b - 30= ab

Cancelling ab,

➡ 15a - 2b - 30 = 0

Substituting the value of a in the equation,

➡ 15{(b - 10)/5} - 2b - 30 = 0

➡ 3(b - 10) - 2b - 30 = 0

➡ 3b - 30 - 2b - 30 = 0

➡ 3b - 2b -60 = 0

➡ b = 60

Substituting the value of b in a = (b - 10)/5,

➡ a = (60 - 10)/5

➡ a = 50/5

➡ a = 10

[Here we have used the substitution method]

Henceforth, the total number of boys is 60 and the sum received by each is Rs. 10 .

Answer: A.

Step-by-step explanation:

I just took the exam

can i get brainlyiest?

hope this helps :D

in table data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:High Low Q1 Q3 IQR Median Mean σ

College 50 5 7.5 15 7.5 11 13.8 6.4

High School16 0 9.5 14.5 5 13 10.7 5.3 Both spreads are best described with the standard deviation.

Answer:

x = 7

Step-by-step explanation:

4(7) - 3 = 25

2(7) + 21 = 35

25+35 = 60

Trial and error.

Answer:

about 704 in 2

Step-by-step explanation:

surface area-2Ab+Pb*h

=2(13*8)+49.6(10)

=704

Answer:

1) Antonio's statement

2) <A = 123

Step-by-step explanation:

1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.

2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)

Now

7x+5 = 180

7x = 175

x = 25

<A = 5x-2

= 5(25)-2

= 125-2

= 123

Answer:

mmmm.

Step-by-step explanation:

well it's been 6 minutes so I dont know how to help you here man. thank you for the points tho!!!

Answer: 9.3  

I calculated the area of the square, then I calculated the area of the circle.  Then I subtracted the two.

Answer:

5.3

Step-by-step explanation:

A square has equal sides

LXW=A

5x5= 25

diameter of the circle is 5 ft

D/2=R 5/2= 2.5

Area of a circle is \(\pi r^2\)  (Pi=3.14)

\(3.14 X (2.5)^2\)= 3.14 x 6.25=  19.625.

Area of yellow region

Area of square - Area of circle.

25-19.625 = 5.375 rounded to nearest 10th is 5.3

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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The implicit general solution is 0.5y² = -0.5x² + 0.5x + C, here C should pass through the origin of the circle. The family of curves (T)  represents the integral curve. The graph (T) is represented below.

a. To find the implicit general solution of the given differential equation, we can integrate both sides with respect to x. Let's start by rewriting the equation:

yy' = -x + 1/2

Integrating both sides:

∫ yy' dx = ∫ (-x + 1/2) dx

Using integration by parts on the left side, let u = y and dv = y' dx:

\(\int u dv = uv - \int v du\\\\y\int dy = \int (-x + 1/2) dx\\\\1/2 y^2 = -1/2 x^2 + 1/2 x + C\\\\0.5y^2 = -0.5x^2+0.5x+C\)

Where C is the constant of integration. This is the implicit general solution of the given differential equation.

b. The family of curves (T) that represents the general solution in an orthonormal system is known as the integral curves of the differential equation.

c. To find the graph (T) that passes through the origin O(0, 0), we substitute the point (x, y) = (0, 0) into the implicit general solution and solve for C:

\(1/2(0)^2 = -1/2(0)^2 + 1/2(0) + C\\\\0 = 0 + 0 + C\\\\\C = 0\)

So the graph (T) that passes through the origin is given by:

\(1/2 y^2 = -1/2 x^2 + 1/2 x\)

This equation represents the specific curve that satisfies both the differential equation and the condition of passing through the origin.

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The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.

The strength of the field is shown by the distance between the lines; the closer they are to one another, the stronger the field.

In this scenario, the field weakens as we travel away from the charge because the distance between the lines widens (it actually obeys an inverse square law,

The electric field, which is pointed away from the core charge, is indicated by the direction of the lines.

This is due to the fact that a positive test charge would be repelled away from the electric field if it were placed there because the direction of the electric field corresponds to the direction of the force that a positive test charge would experience when immersed in the electric field.

Hence, The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.

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Answer:

4 1/2

Step-by-step explanation:

3/4 divided by 1/6 turns into 3/4 divided by 6/1, but then you multiply instead so its 3/4 x 6/1 = 4/12

Answer:

4.5

Step-by-step explanation:

Welcome brisint plzzz

Answer: C. 21

Step-by-step explanation:

= 105/5

= 21

Answer:

c

Step-by-step explanation:

105/5

=21

so the answer is 21

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

82

Step-by-step explanation:

\(4^3 + \frac{96}{8} \cdot 5 - 42 = 64 + 12\cdot 5 - 42 = 64 + 60 - 42 = 82\)

Answer:

82

Step-by-step explanation:

PEMDAS

\(4^{3}\) + [(96 ÷ 8) x 5] - 42

\(4^{3}\) + [(12) x 5] - 42

4^3 + (60) - 42

64 + 60 - 42

124 - 42

82

hope this helps :)

Answer: (–3, 4) and (1,0)

Step-by-step explanation:

*see attachement for the diagram of the tissue paper

Answer:

Volume of the roll = 3,817.04 cm³

Step-by-step explanation:

The diagram of the roll of the tissue paper given is a model of two cylinders:

✔️Bigger cylinder with diameter (d) of 14 cm and height of 27 cm

✔️ Smaller/inner cylinder with diameter (d) of 4 cm and height of 27 cm

Thus:

The Volume of the roll = volume of bigger cylinder - volume of smaller cylinder

✔️Volume of bigger cylinder = πr²h

r = ½(14) = 7 cm

h = 27 cm

Volume of bigger cylinder = π*7²*27

= 4156.33 cm³

✔️Volume of smaller/inner cylinder = πr²h

r = ½(4) = 2 cm

h = 27 cm

Volume of smaller/inner cylinder = π*2²*27

= 339.29 cm³

✅The Volume of the roll = 4156.33 - 339.29 = 3,817.04 cm³

There are four possible outcomes in this game: winning $1, winning $5, winning $10, or winning $0.

The probability of winning $1is the probability of drawing one of the 11 hearts that are not the ace of hearts. There are 52 cards in the deck, so the probability of drawing any one of them is 1/52. However, there are 11 hearts that win $1, so the probability of winning $1 is:

P(W = $1 ) = 11/52

The probability of winning $5 is the probability of drawing the ace of hearts, which is 1/52.

P(W = $5) = 1/52

The probability of winning $10 is the probability of drawing the king of spades, which is also 1/52.

P(W = $10) = 1/52

The probability of winning $0 is the probability of drawing any other card, which is 39/52.

P(W = $0) = 39/52

Answer:1.197654 10 12

Step-by-step explanation:

Answer:

:1.197654 10 12

Step-by-step explanation:

Answer:

B. 1

Step-by-step explanation:

I calculated logically

The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

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Answer:

I think its Yes!

Step-by-step explanation:

Hope this helps!!!

On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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