PLEASE HELP URGENT!!

The expected value of the total number of rounds played is E = S = 3. This means that, on average, the game will last for three rounds before one of the players hits the bullseye.

To find the expected value of the total number of rounds played, we can use the concept of conditional probability and the law of total probability.

Let E be the expected value of the total number of rounds played. We can express E as follows:

E = P(Ram hits on the first round) * 1 + P(Ram misses on the first round and Laxman hits on the second round) * 2 + P(Ram misses on the first round, Laxman misses on the second round, Ram hits on the third round) * 3 + P(Ram misses on the first three rounds, Laxman hits on the fourth round) * 4 + ...

Note that if Ram hits on the first round, then the game ends, and the expected number of rounds played is 1. If Ram misses on the first round, then we need to consider the probabilities of different outcomes on the subsequent rounds.

Using the law of total probability, we can write:

P(Ram misses on the first round and Laxman hits on the second round) = P(Ram misses on the first round) * P(Laxman hits on the second round | Ram misses on the first round)

= (2/3) * (1/2) = 1/3

Similarly, we can calculate the probabilities of the other outcomes:

P(Ram misses on the first round, Laxman misses on the second round, Ram hits on the third round) = (2/3) * (1/2) * (2/3) * 1/3 = 2/27

P(Ram misses on the first three rounds, Laxman hits on the fourth round) = (2/3) * (1/2) * (2/3) * (1/2) * (2/3) * 1/3 = 4/81

Using these probabilities, we can rewrite the expression for E as follows:

E = (1/3)*1 + (1/3)*2 + (2/27)*3 + (4/81)*4 + ...

Now, let S = (1/3)*1 + (1/3)*2 + (2/27)*3 + (4/81)*4 + ... be the sum of the expected number of rounds played in each scenario. Then, we can write:

S = (1/3)*1 + (1/3)*2 + (2/27)*3 + (4/81)*4 + ...

= (1/3) * (1 + 2/3 * (1 + 2/3 * (1 + 2/3 * (...))))

= (1/3) * (1 + 2/3 * S)

Solving for S, we get:

S =3.

For more similar questions on probability:

brainly.com/question/13604758

#SPJ11

Answer:

5 gallons per second

Step-by-step explanation:

Step 1:

300 ÷ 60 = 5

Answer:

5

Hope This Helps :)

Answer:

5

Step-by-step explanation:

Answer:

The expression is already in decimal form.

1.2

Step-by-step explanation:

(づ￣ ³￣)づ

The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

To know more about the standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

Using a system of equations, it is found that the original number of students in Group B was of 120.

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.

In the context of this problem, the variables are described as follows:

There are 270 total students, hence:

x + y = 270.

x = 270 - y. (as we want to find y).

If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:

x + 30 = 2(y - 30).

Replacing the relation of the first equation on the second, it is found that:

270 - y + 30 = 2y - 60

3y = 360

y = 360/3

y = 120.

The original number of students in Group B is of 120.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

One hundred thousand Indians and fifteen thousand Californios are the most accurate pair of approximate figures for the late 1840s in California

The indigenous population of California was estimated to be around 100,000 in the late 1840s, while the Californio population, which consisted of Spanish-speaking settlers, was estimated to be around 15,000.

The secularization law lead the Indians to grow crops, herd livestock, and weave clothes, live in the lands to where they migrated. Later the lands under the mission are distributed or sold for less cost to the families and friends of government officers. This mission plan happened in 1840s.

To know more about Indigenous population of California

brainly.com/question/28713628

#SPJ4

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

Learn more about whole numbers here

brainly.com/question/19161857

#SPJ4

Answer

5%

Explanation

The answer is 5% increase because you have to subtract 14700 and 14000 which gets you 700 and then you divide 700 by 14000 (the original price) which gets you 0.05 and then you multiply that by 100 which then gets you 5%

Answer:

y=-1/3x

Step-by-step explanation:

We use the linear equation of y=mx+c

Y=c

We know that y=0 and that m=-1/3, therefore we plug it in the formula.

y=-1/3x+0

y=-1/3x

Answer:

X + 3y = 0

Step-by-step explanation:

Given

y-intercept (b) = 0

Slope (m) = - ⅓

Now w

Equation in slope intercept form

y = mx + b

y = - ⅓x + 0

3y = - x

X + 3y = 0

Given:

The objective is to find the probability of drawing a face card from a deck of card.

The number of cards in a deck is, N = 52.

The number of face cards in a deck is, n(E) = 12.

Then, the required probability can be calculatad as,

Hence, option (A) is the correct answer.

Tables and graphs to show Equivalent ratios makes it easy to see that different pairs of numbers can represent the same ratio. This helps to develop a deeper understanding of ratios and proportions.

Tables and graphs are great tools to show equivalent ratios because they provide a visual representation of the data that makes it easy to compare different values.

To use a table to show equivalent ratios, we can create a table with two columns: one for the numerator and one for the denominator. Then, we can list different values of the numerator and denominator that have the same ratio in each row. For example, we can create a table to show equivalent ratios for 2:3 by listing different pairs of numbers that have the same ratio, such as 4:6, 8:12, and 10:15.

To use a graph to show equivalent ratios, we can create a coordinate plane with the horizontal axis representing the numerator and the vertical axis representing the denominator. Then, we can plot different points that represent pairs of numbers with the same ratio. For example, we can plot points for 2:3, 4:6, 8:12, and 10:15 on the graph, and we will see that they all fall on the same line.

Using tables and graphs to show equivalent ratios makes it easy to see that different pairs of numbers can represent the same ratio. This helps to develop a deeper understanding of ratios and proportions.

To know more about Equivalent ratios.

https://brainly.com/question/2328454

#SPJ11

Option:-

\( \: \)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

Answer:

a) 3x + 2

Step-by-step explanation:

Now we have to,

→ Find the quotient of the following.

Given problem,

→ (9x + 6) ÷ 3

Let's find the required quotient,

→ (9x + 6) ÷ 3

→ (9x + 6)/3

→ (9x/3) + (6/3)

→ (3x) + (2)

→ 3x + 2

Hence, the option (a) is correct.

The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.

Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.

To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.

To find the probability of both events occurring, we multiply the individual probabilities:

P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.

Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

Step-by-step explanation:

4x -5 = 3x +11 corresponding angles

x= 16

y + 4x - 5 = 180

y + 4(16) = 185

y - 64 =185

y = 121

Answer:

30 people

Step-by-step explanation:

90 divided by 3 would 30 so 30 people could come to the party before she ran out of pancakes

Answer: C.

Step-by-step explanation:

The first number is a positive 4, which is your a1. Then the geometric sequence goes to a negative implying that it is multiplied by a negative. So the a1 = 4 and it is being multiplied by a negative 3.

Answer: C

\(\left \{ {{a_{1}=4 } \atop {a_{n}=a_{n-1}*(-3) }} \right.\)

Step-by-step explanation:

The starting amount (a1) = 4

The rate is -3 because 4 * -3 = 12 and -12 and -12 * -3 = 36 etc.

Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

Answer:

-40X-3=120

Step-by-step explanation:

20 characters

Answer:

Circle

Step-by-step explanation:

A cross section of a cone sliced parallel to iits bases is a circle and a rectangle when sliced perpendicular to its bases.

Answer:

its a circle

Step-by-step explanation:

got this from Khan and micaelaamisial :)

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

for such more question on annual interest rate

https://brainly.com/question/29451175

#SPJ8

Answer:

Step-by-step explanation:

1.Collect pairs of data where a relationship is suspected.

2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...

3.Look at the pattern of points to see if a relationship is obvious. ...

4.Divide points on the graph into four quadrants.

Answer:

B

Step-by-step explanation:

44/77

=0.55

Answer:

21-3=18

Hope This Helps!!!

Answer:

18

Step-by-step explanation:

7(3)= 21

15/5=3

21-3=18

The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = -1

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, The exponential function of the type,

⇒ y = a (bˣ) + c

Which has the horizontal asymptote at y = c.

Hence, From the given graph, we can see that as x tends to positive infinity, Thus, the curve tends to:

⇒ y = -1

Thus, the correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = -1

To know more about mathematical expression, visit:

brainly.com/question/1859113

#SPJ1

Answer:

You multiply the whole number by the denominator, and add the numerator.

Step-by-step explanation:

1 4/5

1 x 4 = 4

4 + 5 = 9, over 5

We still keep the denominator the same

Answer. 1 4/5 = 9/5

Answer:

The statement is now presented as:

\(\exists\, (h,k)\in \mathbb{R}^{2} /f: (x-h^{2})+(y-k)^{2}=r^{2}\implies f': [x-(h+4)]^{2}+[y-(-k)]^{2} = r^{2}\)

In other words, this mathematical statement can be translated as:

There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r.

Step-by-step explanation:

Let \(C = (h,k)\) the coordinates of the center of the circle, which must be transformed into \(C'=(h', k')\) by operations of translation and reflection. From Analytical Geometry we understand that circles are represented by the following equation:

\((x-h)^{2}+(y-k)^{2} = r^{2}\)

Where \(r\) is the radius of the circle, which remains unchanged in every operation.

Now we proceed to describe the series of operations:

1) Center of the circle is translated 4 units to the right (+x direction):

\(C''(x,y) = C(x, y) + U(x,y)\) (Eq. 1)

Where \(U(x,y)\) is the translation vector, dimensionless.

If we know that \(C(x, y) = (h,k)\) and \(U(x,y) = (4, 0)\), then:

\(C''(x,y) = (h,k)+(4,0)\)

\(C''(x,y) =(h+4,k)\)

2) Reflection over the x-axis:

\(C'(x,y) = O(x,y) - [C''(x,y)-O(x,y)]\) (Eq. 2)

Where \(O(x,y)\) is the reflection point, dimensionless.

If we know that \(O(x,y) = (h+4,0)\) and \(C''(x,y) =(h+4,k)\), the new point is:

\(C'(x,y) = (h+4,0)-[(h+4,k)-(h+4,0)]\)

\(C'(x,y) = (h+4, 0)-(0,k)\)

\(C'(x,y) = (h+4, -k)\)

And thus, \(h' = h+4\) and \(k' = -k\). The statement is now presented as:

\(\exists\, (h,k)\in \mathbb{R}^{2} /f: (x-h^{2})+(y-k)^{2}=r^{2}\implies f': [x-(h+4)]^{2}+[y-(-k)]^{2} = r^{2}\)

In other words, this mathematical statement can be translated as:

There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r.

Answer:

the same area as

Step-by-step explanation:

When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.

This is so because, translation and reflection only affect the positioning of the circle not the size.

Considering the above analysis, we can conclude that option d answers the question correctly.

The radian measure of an angle theta is the length of the arc that subtended angle 2Pi

We can measure angles in two forms degrees or Radians.

Radian can be described as a measure of the angle subtended by a circular arc. It can be defined as the ratio of the arc length subtending angle to the radius of the circle.

One radian is the measure of the angle subtended by an arc that is equal to the radius of the circle.

Therefore, the radians measure an angle theta the length of the arc.

Θ =s/r ,

where theta is the angle subtended, s is the arc length and r is the radius of the circle.

We know that the 2π radians = 360 degrees.

That subtends the angle in a circle of radius 2Pi

Therefore, The radian measure of an angle theta is the length of the arc that subtended angle 2 Pi

To learn more about the radian and degrees:

https://brainly.com/question/5563109

#SPJ4