I need help answering this question, please tell me how you got the answer

The probability of having a single red ball in the urn when the last green ball is chosen is 3/2.

The probability of having a single red ball in the urn when the last green ball is chosen can be determined by considering the different possible sequences of ball selections.

There are two green balls, so there are two possible sequences in which they could be chosen: either both are selected first (G-G) or one is selected first and the other second (G-G or G-R-G).

In the first sequence (G-G), the two red balls are left, and the last ball selected must be a red ball. So the probability of this sequence is 1.

In the second sequence (G-G or G-R-G), the two red balls could be selected in any order. So the probability of this sequence is

=> 2!/(2! * 2!)

=> 1/2.

The overall probability of having a single red ball in the urn when the last green ball is chosen is the sum of the probabilities of the two sequences, which is

=> 1 + 1/2

=> 3/2.

So the final answer is the probability of having a single red ball in the urn when the last green ball is chosen is 3/2.

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The solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) \(e^{\frac{22t}{3} }\) - (4/3) \(e^{\frac{-16t}{3} }\)

y(t) = (-13/3) \(e^{\frac{22t}{3} }\) + (2/3) \(e^{\frac{-16t}{3} }\)

To solve the system of differential equations, we can use matrix exponential. The system can be written in matrix form as follows:

X' = AX, where X = [x y], A = [22 60; -6 -16]

The matrix exponential of A can be calculated as follows:

\(e^{(At)}\) = I + At + \(\frac{(At)^{2}}{2!}\) + \(\frac{(At)^{3}}{3!}\) + ...

where I is the identity matrix and t is the variable of integration.

We can substitute A and t = 1 into the formula to get:

\(e^{A}\)= I + A + \(\frac{(A)^{2}}{2!}\) + \(\frac{(A)^{3}}{3!}\)+ ...

= [1 0; 0 1] + [22 60; -6 -16] + [44 192; -36 -104]/2! + [ -256 -768; 96 272]/3! + ...

= [1 + 22 + \(\frac{44}{2!}\) - \(\frac{256}{3!}\)*60 + \(\frac{192}{2!}\) - \(\frac{768}{3!}\);

-6 + \(\frac{(-6)}{2!}\) + \(\frac{96}{3!}\) - 16 + \(\frac{(-104)}{2!}\)+ \(\frac{272}{3!}\)]

= [\(\frac{29}{3}\) \(\frac{102}{3}\);

\(\frac{-13}{3}\)  \(\frac{-4}{3}\) ]

Now we can use the initial conditions to find the constants of integration. We have:

X(0) = [x(0) y(0)] = [5 3]

So,

[\(e^{A}\)] [\(c_{1}\)] = [5]

[\(c_{2}\)] [3]

Multiplying both sides by the inverse of \(e^{A}\), we get:

[\(c_{1}\)] = [29/3 102/3]^(-1) [5]

[\(c_{2}\)] [-13/3 -4/3] [3]

Solving this system of linear equations, we get:

\(c_{1}\) = -4/3

\(c_{2}\) = 2/3

Therefore, the solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) \(e^{\frac{22t}{3} }\) - (4/3) \(e^{\frac{-16t}{3} }\)

y(t) = (-13/3) \(e^{\frac{22t}{3} }\) + (2/3) \(e^{\frac{-16t}{3} }\)

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In 700 years the population of Transylvania will double  

What is growth rate ?

the typical annual rate of population change during a particular period for a certain nation, region, or geographic area. In most cases, a factor of 100 is used to describe the ratio between the annual growth in population size and the total population for the year.

Growth rate equals Absolute Change divided by Previous Value. Calculate the percentage of change: Percent of change = Growth rate x 100 is the formula that may be used to calculate the percent of change.

To calculate in how many years the population of Transylvania double

= 70 / 0.1

= 700 years

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Answer:

9

Step-by-step explanation:

Answer:

6 * squ 2

Step-by-step explanation:

squ 6 * squ 12 = squ 6*12 = squ 72 = squ 36 * 2 = 6 * squ 2

The act of choosing a complex number and choosing a natural number are not mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time. In this case, choosing a complex number and choosing a natural number can both occur independently of each other.

A complex number is a number that consists of a real part and an imaginary part, represented as a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit (√(-1)). Choosing a complex number involves selecting values for both the real and imaginary parts.

On the other hand, a natural number is a positive whole number (1, 2, 3, 4, ...). Choosing a natural number involves selecting a value from the set of natural numbers.

Since complex numbers and natural numbers belong to different sets and involve different criteria for selection, choosing one does not exclude the possibility of choosing the other.

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Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

4

Step-by-step explanation:

Answer:

J'(7,-4), K'(-7,-1), L'(-2,2)

Step-by-step explanation:

reflection over x-axis: (x,y) --> (x,-y)

reflection over y-axis: (x,y) --> (-x,-y)

Because the triangle is reflected x-axis and then y-axis,

all points would be (x,y) --> (-x,-y)

If you are dealt five cards from an ordinary deck of 52 playing cards, the number of ways can you get a full house is 3,744.

A full house is a hand that contains three of a kind and a pair. For example, three aces and two kings are a full house. To calculate the number of ways to get a full house, use the following formula:

1. First, choose the rank for the three of a kind. There are 13 choices because there are 13 different ranks in a standard deck of cards.

2. Second, choose which three of the four suits for the three of a kind. There are four options for each card, but we must divide by 3! (the number of ways to order three cards) to correct for overcounting. Therefore, there are 4C3 * (3!) ways to pick three cards from four (equal to 4 ways to choose the three of a kind).

3. Third, choose the rank for the pair. This leaves 12 ranks to choose from since two of the 13 have already been used for the three of a kind.

4. Fourth, choose two suits for the pair. The suits for the pair must be different from those used for the three of a kind. There are four options for the first card, three for the second card, but we must divide by 2! to correct for overcounting. There are a total of 4C2 * 2! ways to pick two cards from four (equal to 6 ways to choose the pair).

We multiply these numbers to get the total number of ways to get a full house:

13 × 4C3 × 3! × 12 × 4C2 × 2! = 13 × 4 × 6 × 12 × 6 = 3, 744

Therefore, there are 3,744 ways to get a full house from a standard deck of 52 playing cards.

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Answer:

what do you need help with what -??

Step-by-step explanation:

The correct answer is: d. Yes, the probability of a random ladybug in Raleigh being bigger than 1.5 cm and it is appropriate to calculate this probability.

It is appropriate to use a normal distribution to approximate the distribution of ladybug lengths since the sample size is large enough (440000) and the standard deviation is known. We can calculate the z-score for a ladybug with length of 1.5 cm as:

z = (1.5 - 1) / 0.2 = 2.5

Using a standard normal distribution table, we can find the probability of a z-score being greater than 2.5 to be approximately 0.0062. Therefore, the probability of a random ladybug in Raleigh being bigger than 1.5 cm is about 0.0062 or 0.62%.

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Answer:

x =5

Step-by-step explanation:

2(5x – 2) – 2x– 2 = 34

Distribute

10x-4-2x-2 = 34

Combine like terms

8x -6 = 34

Add 6 to each side

8x-6+6 = 34+6

8x = 40

Divide by 8

8x/8 = 40/8

x =5

Answer:

x=5

can you also please mark me as brainliest?

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

Answer:

The ground exerts an equal force on the golf ball and a golf ball striking the ground is a collision

Step-by-step explanation:

Answer:

1. and 2.

Step-by-step explanation:

The value of c is approximately 1.1476.

To find the value of c for which the average value of the function f(x) = (9π/x^2)(cos(π/x)) on the interval (1,c) is -0.09, we need to calculate the average value of the function and solve for c.

The average value of a function f(x) on an interval [a, b] is given by:

Average value = (1 / (b - a)) * ∫[a, b] f(x) dx

In this case, we have the interval (1, c) and want the average value to be -0.09. So we can set up the equation:

-0.09 = (1 / (c - 1)) * ∫[1, c] [(9π/x^2) * cos(π/x)] dx

To solve this equation, we first evaluate the integral on the right side. The integral of the given function can be quite challenging to evaluate analytically. Therefore, we can use numerical methods or software to approximate the value of the integral.

Once we have the numerical approximation for the integral, we can solve for c by rearranging the equation:

(c - 1) = (1 / -0.09) * ∫[1, c] [(9π/x^2) * cos(π/x)] dx

(c - 1) = -1 / 0.09 * Approximated value of the integral

Finally, we can solve for c by adding 1 to both sides of the equation:

c = 1 + (-1 / 0.09) * Approximated value of the integral

Using numerical methods or software, we can compute the value of the integral and substitute it into the equation to find the approximate value of c, which is approximately 1.1476.

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These triangles are d. not similar

The given angles in the triangles are not sufficient to establish similarity. In order for two triangles to be similar, their corresponding angles must be equal, and their corresponding sides must be in proportion.

In this case, while the two triangles have two equal angles (88° and 88°), there is no information provided about the lengths of their sides. Therefore, we cannot determine if the triangles are similar based on the given information.

The triangles are not similar.

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Answer: -1

Step-by-step explanation:

f(x)=-x-5

f(-4)=-(-4)-5

f(-4)=4-5

f(-4)=- 1

the equation of the line that passes through the points (2,3) and (-1,0) is y = x + 1.

The equation of the line that passes through the points (2,3) and (-1,0) can be found using the point-slope form.

Let's calculate the slope (m) of the line:

m = (y2 - y1) / (x2 - x1)

m = (0 - 3) / (-1 - 2)

m = -3 / -3

m = 1

Now that we have the slope, we can choose any of the given points and use the point-slope form:

y - y1 = m(x - x1)

Using the point (2,3):

y - 3 = 1(x - 2)

y - 3 = x - 2

y = x - 2 + 3

y = x + 1

Therefore, the equation of the line that passes through the points (2,3) and (-1,0) is y = x + 1.

Regarding the other questions:

Question 13: If A is an mxn matrix, then A and AT do not have equal rank.

The statement is true. The rank of a matrix A and its transpose AT can be different unless A is a square matrix.

Question 15: The dominant eigenvalue of a matrix in the set of eigenvalues (-9, 4, -7, 6) is 6.

The statement is false. The dominant eigenvalue is the eigenvalue with the largest magnitude, not necessarily the largest value. Without further information, we cannot determine the dominant eigenvalue based solely on the set of eigenvalues provided.

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ANSWER

N = 11

EXPLANATION

Given:

3N + 5 = 38

Desired Outcome:

Value of N

Solve for N

Hence, the value of N is 11.

Answer:

29.13

Step-by-step explanation:

29.1333

29.13

The quotient of the given division nearest to the hundredth is 29.133

Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

Now the given division is,

437 ÷ 15

Using long division method,

    29.1333

15| 437

  - 30

     137

   - 135

         20

       - 15

           50

         - 45

              50

            - 45

                5

hence the quotient we get is 29.1333...

To round of to the nearest hundredth,

Since digit to the right of 3 is less than 5

So, the remainder nearest to the hundredth is 29.133.

Thus,The quotient of the given division nearest to the hundredth is 29.133.

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Alan deposited $2500 in an investment account that pays an interest rate of 7. 8% compounded monthly. If he makes no other deposits or withdrawals, Alan will have $9,272 in the account in 15 years.

Given, Alan deposited $2500 in an investment account that pays an interest rate of 7.8% compounded monthly.

To find, We can use the formula for compound interest: A=P(1+r/n)nt, where A is the amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

Substitute the given values, we get; P = $2500, r = 7.8%, n = 12 (compounded monthly), and t = 15 years.

A= $2500(1 + (0.078/12))(12×15)

Using the formula above, we get that Alan will have approximately $9,271.57 in the account in 15 years, rounded to the nearest dollar it will be $9,272.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Petra and Jonah are traveling separately and not meeting up in Poole. In this case, the 47 minutes that Jonah mentions could refer to the total travel time from his home to his destination (which might not be Poole).

It's possible that Petra and Jonah are not starting their journey from the same location, or that they are using different modes of transportation to get to the train station. Here are a few possible scenarios that could explain how Petra and Jonah could get from home to Poole in less than 60 minutes:

Petra lives closer to the train station than Jonah, so she only needs to travel a short distance to get there. Jonah, on the other hand, lives farther away and needs to take a bus or drive to the train station. Petra could arrive at the train station in a few minutes, take the 12-minute train ride to Poole, and get there in under 30 minutes total. Jonah, who has a longer journey to the train station, might take 40-50 minutes to get there, but could still arrive in Poole in less than 60 minutes if he catches a train shortly after arriving at the station.

Petra and Jonah live in the same area, but Petra prefers to walk or bike to the train station while Jonah takes a bus or drives. If Petra's home is closer to the train station than Jonah's, she could arrive in 10-15 minutes and take the 12-minute train ride to Poole, arriving in under 30 minutes total. Jonah might take longer to get to the station, but could still arrive in Poole in less than 60 minutes if he catches a train shortly after arriving.

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Petra and Jonah has this information home to the train station. 12 minutes train to Poole 47 minutes jonah says it will take less that 60 minutes in total to go from home to Poole. ​

How does this occur?

a) The sample space for four flights selected at random, with arrival status "O" for on-time and "L" for late, is given as {OOOO, OOOL, OOLO, OOLL, OLOO,  OLOL, OLLO, OLLL, LOOO, LOOL, LLOO, LLOL, LLLO, LLLL}.

b) The probability that a randomly selected flight is from Airline A and on-time, denoted as P(A), is calculated by multiplying the probability of being on-time for Airline A (75/100) with the proportion of flights operated by Airline A out of the total (320/1000), resulting in P(A) = 24/100.

c) The probability that a randomly selected flight is either from Airline C or on-time, denoted as P(C), is obtained by dividing the sum of flights on-time (700) and flights operated by Airline C (240) by the total number of flights (1000), giving P(C) = 94/100.

d) The probability that a flight is from Airline B given that it is late, denoted as P(B | L), is computed by multiplying the proportion of late flights (300/1000) with the probability of being from Airline B (35/100), resulting in P(B | L) = 77/300.

e) The probability that a flight is late given that it is from Airline A, denoted as P(L | A), is calculated by multiplying the proportion of flights on-time for Airline A (25/100) with the proportion of flights operated by Airline A (320/1000), resulting in P(L and A) = 8/100. Therefore, P(L | A) = 1 - P(A | L) = 11/15.

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