Martina vence a Jelena en 2 juegos de un total de 3 en el tenis. ¿Cuál es la probabilidad de que Jelena gane un set de de tenis 6 juegos a 4?

Pista: ¿Cuál es el score que tendría que haber después de 9 juegos?

Answer:

approximately 183.4 square centimeters.

Step-by-step explanation:

We can use the formula for the circumference of a sphere, which is:

C = 2πr

where C is the circumference and r is the radius.

We know that the circumference of the pincushion is 24 cm. We can use this to find the radius:

C = 2πr

24 = 2πr

r = 24/(2π)

r ≈ 3.82 cm

Now that we know the radius, we can use the formula for the surface area of a sphere, which is:

A = 4πr^2

Substituting the value we found for the radius, we get:

A = 4π(3.82)^2

A ≈ 183.4 cm^2

Therefore, the surface area of the pincushion is approximately 183.4 square centimeters.

The simplified expression is:

8y + 4 - 3y + 12 = 5y + 16

Remember the distributive property:

A*(B + C) = A*B + A*C

Now let's look at our expression, it is:

8y + 4 - 3y + 12

We can reorder the terms to get:

8y - 3y +4 + 12

Now we can take y as a common factor:

(8 - 3)y + 4 + 12

Now simplify the two operations:

(8 - 3)y + 4 + 12 = 5y + 16

That is the expression simplified.

Learn more about common factors at:

https://brainly.com/question/219464

#SPJ1

The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.

Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10.

During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value.

The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.

286330760848.37 = 2.86 * 10^11

370918706949.93 = 3.70 * 10^11

907701000000.00 = 9.07 * 10^11

3233313451777.25 = 3.23 * 10^12

5674178209886.86 = 5.67 * 10^12

13561623030891.79 = 1.35 * 10^13  

Learn more about Scientific notation at:

brainly.com/question/10401258

#SPJ1

The equation of the ellipse with the foci is x²/36 + y²/(27) = 1.

The distance between the foci of an ellipse is calculated using the following formula;

c² = a² - b²

Where;

For this question, a = 6 and c = 3, the value of b is calculated as;

c² = a² - b²

3² = 6² - b²

9 = 36 - b²

b² = 27

b = √27

b = 3√3

The equation of the ellipse is calculated as;

x²/a² + y²/b² = 1

x²/36 + y²/(27) = 1

Learn more about equation of ellipse here: https://brainly.com/question/16904744

#SPJ1

The difference in height of short and tall tower is 3 inch.

We have,

length of each block = 3/4 inch

So, the length of 5 block

= 5 x 3/4

= 15/4 inch

and, the length of 9 blocks

= 9 x 3/4

= 27/4 inch

So, the difference in height of short and tall tower is

= 27/4 - 15/4

= 12/4

= 3 inch

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ1

We can use unit conversion to find the value of $1 in Euros:

\begin{aligned}

£1 &= $1.41 \\

\frac{£1}{1.15} &= \frac{$1.41}{x} \\

x &= \frac{$1.41}{\frac{£1}{1.15}} \\

&= $1.7278

\end{aligned}

Therefore, $1 is equal to €1.7278.

There are 190 pages would be in a book with 19 chapters.

We have to given that;

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.

Now, We get;

For 19 chapters at x - axis,

The value of pages at y - axis is, 190

Thus, There are 190 pages would be in a book with 19 chapters.

To learn more about Scatter Plot visit:

brainly.com/question/6592115

#SPJ1

The cost for a new customer to rent a bay for 6 hours at Top Golf is $22, which includes a $10 player card fee and a $12 bay rental fee at $2 per hour.

Let's let "x" be the total cost for a new customer to rent a bay for 6 hours.

We know that there is a flat fee of $10 for the player card, and then an additional $2 per hour for the bay rental.

So, the equation for the cost "x" can be written as

x = 10 + 2(6)

The expression 2(6) represents the cost of the bay rental for 6 hours. We can simplify the expression by multiplying 2 and 6, which gives us

x = 10 + 12

Now, we can combine like terms to find the final cost

x = 22

Therefore, the cost for a new customer to rent a bay for 6 hours at Top Golf is $22.

To know more about cost:

https://brainly.com/question/3769370

#SPJ1

--The given question is incomplete, the complete question is given

" For a new customer top golf charges $10 for a player card and $2 per hour. Write and solve a linear equation to find the cost for a new customer to rent a bay for 6 hours."--

Selena can serve the pizza at around 6:40 P.M.

The regression line should have the equation y = -1.7x + 300, where y is the temperature, x is the time in minutes since the pizza was taken out of the oven, -1.7 is the slope of the line, and 300 is the y-intercept.

Set y (the temperature) to 130°F, and solve for x (the time).

130 = -1.7x + 300

-170 = -1.7x

x ≈ 100

According to the regression model, the pizza will reach 130°F after about 100 minutes after it was taken out of the oven. Therefore, Selena can serve the pizza at around:

= 5 + 1:40

= 6:40 P.M.

Learn more about regression on

https://brainly.com/question/25987747

#SPJ1

Answer:

  f(n) = 3^(n -1)

Step-by-step explanation:

You want a function that describes the relation shown in the table.

The values under Steps are sequential, which makes determining the function a lot easier.

The values listed under Black Triangles don't have a common difference, but they do have a common ratio:

  r = 3/1 = 9/3 = 27/9 = 3

For this function, we'll use 'n' as the independent variable (the number of steps), and we'll call the function 'f'.

For common ratio r and a pair of table values (n, f(n)) = (a, b), the exponential function can be written as ...

  f(n) = b·r^(n -a)

With r=3 and (a, b) = (1, 1), this becomes ...

  f(n) = 1·3^(n -1)

The multiplier 1 isn't really needed, so we can use ...

  f(n) = 3^(n -1)

Salton City has a lower altitude because -60.96 meters is less than -38.1 meters.

Option C is the correct answer.

We have,

The altitude of Bombay Beach is -60.96 meters.

The altitude of Salton City is -38.1 meters.

Altitude is the height of a location above sea level, and a negative value indicates that the location is below sea level.

Therefore, we can see that Salton City has a higher altitude than Bombay Beach because -38.1 meters is a higher altitude than -60.96 meters.

Thus,

Salton City has a lower altitude because -60.96 meters is less than -38.1 meters.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The solution is, the two dimensions  will be 2121.32 by 1414.2.

Here, we have,

let X and Y be the two dimensions.

Area will be X times Y.

XY = 3000000

Y = 3000000 / X

Perimeter = 2x + 3y

substituting the values:

Perimeter = 2x + 3*3000000 / x

               = 2x + 9000000 / x

so, we get,

2 = 9000000 / x^2

x^2 = 9000000 / 2 = 4500000

x = sqrt(4,500,000)

  = 2121.32

  = 1000 sqrt (4.5)

y = 3000000 / 2121.32

  = 1414.2

  = 1000 sqrt(2)

so the dimensions will be 2121.32 by 1414.2 .

Learn more about perimeter here:

brainly.com/question/397857

#SPJ1

complete question:

A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

Answer:

it can be simplify as follows:

Volume of the prism given is 51 [tex]\frac{17}{40}[/tex].

The volume of the prism is given by the formula,

Volume of the prism = Base area × height

Base area = 2 3/4 × 5 1/2

                 = 11/4 × 11/2

                 = 121 / 8

Volume of the prism = 121 / 8 × 3 2/5

                                  = 121/8 × 17/5

                                  = 2057/40

                                  = 51 17/40

Hence the volume of the prism is 51 [tex]\frac{17}{40}[/tex].

Learn more about Volume here :

https://brainly.com/question/13338592

#SPJ1

The function that represents the fox population is P(t) = 6100 x [tex]1.06^{t}[/tex]

The fox population in 2008 is 9722.

The equation that would represent the population of the foxes is an exponential equation.

The form of the exponential equation would be

Future population = present population x [tex](1 + r)^{t}[/tex]

Where:

P(t) = 6100 x [tex](1 + 0.06)^{t}[/tex]

P(t) = 6100 x [tex]1.06^{t}[/tex]

Fox population in 2008 = 6100 x [tex]1.06^{8}[/tex] = 9722

To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ1

The vertex form of the quadratic function f(x) = 2x^2 + 8x + 7 is f(x) = 2(x + 2)^2 - 25.

Take a look at the quadratic function:

f(x) = 2x^2 + 8x + 7

In this situation, a = 2 and b = 8, yielding:

f(x) = 2(x^2 + 4x) + 7

It shtbe noted that to determine the value to add and subtract, multiply (b/2a)2 by (8/2(2))2 = 42 = 16. Inside the parenthesis, we add and subtract 16:

f(x) = 2(x^2 + 4x + 16 - 16) + 7

The expression inside the parenthesis can now be written as a perfect square:

f(x) = 2((x + 2)^2 - 16) + 7

Finally, the phrase is simplified by spreading the 2:

f(x) = 2(x + 2)^2 - 32 + 7

f(x) = 2(x + 2)^2 - 25

Learn more about functions on

https://brainly.com/question/10439235

#SPJ1

What is the vertex form of the quadratic function f(x) = 2x^2 + 8x + 7

Answer:

The answer is 50% or 1/2

Step-by-step explanation:

There are four outcomes on that chart: 1,2,3,3

There are two threes which means 2/4=.5 or 1/2

Answer:

1/2 chance of landing on a 3.

Step-by-step explanation:

Out of the 4 sections on the spinner, 2 of them have the number 3. This means that there is a 2/4 chance that the spinner lands on a three. This fraction can be simplified into 1/2.

Answer: $34.01

Step-by-step explanation:

To get the answer, we must first add up the entire amount of money saved after four weeks of mowing the neighbor's lawn, then subtract the bike's price.

Since we get $40 a week, after 4 weeks we will have saved the following:

40 × 4 = 160

We will therefore have $160 to spend on the bike. The bike costs $125.99, so we will have the following amount of money after purchasing the bike:

160 - 125.99 = 34.01

Therefore, after purchasing the bike, we will have $34.01 leftover.

Answer:

  (d)  (12, -34)

Step-by-step explanation:

You want the component form of the vector sum -3u +5v where u=(1,3) and v=(3,-5).

Add the corresponding parts of the scaled vectors. The scale factor applies to both vector components. (It works the same way as "dilation".)

  -3u +5v = -3(1, 3) +5(3, -5)

  = (-3, -9) +(15, -25) = (-3 +15, -9 -25)

  = (12, -34)

Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

144π = (1/2)(4/3)π(r^3)

144 = (2/3)(r^3)

r^3 = 216, so r = 6 mm, meaning the diameter is 2 × 6 mm = 12 mm.

No, the pairs of vectors 3i - 8j, 8i - 3j are not orthogonal.

The dot product will help us to determine if the pair of vectors are orthogonal or not.

If the dot product is equal to zero, then the pair of vectors are orthogonal.

The dot product of the vectors is calculated as follows;

(3i - 8j).(8i - 3j)

= (3i x 8i) - (3i x 3j) - (8j x 8i) + (8j x 3j)

= (24) - (0) - (0) + (24)

= 24 + 24

= 48

So the pairs of vectors are not orthogonal.

Learn more about orthogonal vectors here: https://brainly.com/question/17278431

#SPJ1

The surface area of the triangular prism is 108 km².

Given is a triangular prism we need to find the surface area of the prism,

SA = perimeter × length

= (3 + 4 + 5) × 9

= 12 × 9

= 108

Hence, the surface area of the triangular prism is 108 km².

Learn more about surface area click;

https://brainly.com/question/29298005

#SPJ1

The firm set 14.49% as the required rate of return for the project.

We will first calculate the Project's discount rate which can we calculated using the formula that:

= Rf rate + Beta*risk premium

= 3.0% + 1.29*7.2%

= 3.0% + 0.09288

= 0.12288

= 12.29%

The required rate of return for the project will be:

= Project's discount rate + Adjustment rate

= 12.29% + 2.2%

= 14.49%

Thus, the firm set 14.49% as the required rate of return for the project.

Read more about RRR

brainly.com/question/31632039

#SPJ1

The evaluated form of the factorial expression 5! / 3! 2! is 10.

Let's evaluate the factorial expression as follows:

The factorial function (!) says to multiply all whole numbers from our chosen number down to 1.

Therefore,

5! / 3! 2!

Hence,

5! = 5 × 4 × 3 × 2 × 1 = 120

3! = 3 × 2 × 1 = 6

2! = 2 × 1 = 2

Hence,

5! / 3! 2! = 120 / 6 × 2

120 / 6 × 2 = 120 / 12 = 10

Therefore,

5! / 3! 2! = 10

learn more on factorial here: https://brainly.com/question/27042196

#SPJ1

The annual premium is $192.5.

We have,

Number of units to be purchased by Alicia:

= 50,000 / 1,000

= 50 units

At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.

= Number of units purchased x Premium per $1,000

= 50 x 3.85

= $192.5

Learn more about Annual Premium here:

https://brainly.com/question/2880999

#SPJ1

The values for the composition of functions are:

a. (f o g)(x) = -x³ - x + 1

b. (g o f)(x) = -x³ - x - 1

Here, we have,

to Determine the Value of Composite Functions:

The value of composite functions are determined by first finding the output of the inner function, which would be used as the input of the outer functions to derive the value of the composite functions.

Given the following:

f(x) = x³ + x + 1

g(x) = -x

a. To find (f o g)(x), substitute g(x) as the inner function for x into f(x):

(f o g)(x) = (-x)³ + (-x) + 1

Simplify

(f o g)(x) = -x³ - x + 1

b. To find (g o f)(x), substitute f(x) as the inner function for x into g(x):

(g o f)(x) = -(x³ + x + 1)

Distribute by -1

(g o f)(x) = -x³ - x - 1

Learn more about composite functions on:

brainly.com/question/10687170

#SPJ1

complete question:

If f(x)=x³+x+1 and g(x)=-x, find (f°g)(x) and (g°f)(x).

(f°g)(x)=

Answer:

890 as it is not divisible by 4