an urn contains pink and green balls. five balls are randomly drawn from the urn in succession, with replacement. that is, after each draw, the selected ball is returned to the urn. what is the probability that all balls drawn from the urn are green? round your answer to three decimal places.

So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.

To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:

Spinner: [1, 2, 3, 4, 5, 6]

To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.

Possible outcomes for the tens digit: [2, 4, 6]

Possible outcomes for the units digit: [2, 4, 6]

Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:

Probability = favorable outcomes / total outcomes

Probability = 9 / 216

Probability = 1 / 24

To know more about probability,

https://brainly.com/question/21467996

#SPJ11

Usando un sistema de ecuaciones, se encuentra que

Para el sistema, hay que:

$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:

\(3x + 5y + 3z = 845\)

$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:

\(4x + 2y + z = 580\)

$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:

\(x + 3y + 3z = 605\)

Reemplazando la segunda equación en las otras duas:

\(z = 580 - 4x - 2y\)

\(3x + 5y + 3z = 845\)

\(3x + 5y + 3(580 - 4x - 2y) = 845\)

\(-9x - y = -895\)

\(9x + y = 895\)

\(y = 895 - 9x\)

\(x + 3y + 3z = 605\)

\(x + 3y + 3(580 - 4x - 2y) = 605\)

\(-11x - 3y = -1135\)

\(11x + 3y = 1135\)

\(y = 895 - 9x\), por eso:

\(11x + 3(895 - 9x) = 1135\)

\(-16x = -1550\)

\(x = \frac{1150}{16}\)

\(x = 96.875\)

\(y = 895 - 9x = 895 - 9(96.875) = 23.125\)

\(z = 580 - 4(96.875) - 2(23.125) = 146.25\)

Un problema similar, que también envuelve un sistema de ecuaciones, es dado en https://brainly.com/question/24646137

Got the question wrong cause the other answer here is the correct answer directly from Delta Math.

(-7, -3)

Enjoy and Happy Holidays!

Answer:

2,278,221

Step-by-step explanation:

two million, two hundred seventy-eight thousand, two hundred twenty-one

Hope this helps and pls do mark me brainliest if you can:)

Answer:

-284

Step-by-step explanation:

If it's not im truly sorry

Answer:

Step-by-step explanation:

Answer:

(-3) x (-3) x (-3) x (-3)

(-3)²

Answer:

1000+2%×1000=1000+20=1020

Answer: a b c

Step-by-step explanation: a b c

Answer:

9%

Step-by-step explanation:

you divide 9 by 100,which gives you 0.09 then you multiply. 0.09 by 100 to give you 9%.

Answer:

13878

Step-by-step explanation:

Add 14112 to both sides

w-14112+14112=-234+14112=

w=-234+14112=

w=13878

Answer: 2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

using pemdas, do 2 times 4 first which ends up as 8, and then subtract 4 from it leaving you w the answer 4

If tangent of x degrees equals four-thirds, and measures of triangle is 10. 5 units, and NM measures 2b units then the value of b is equals to seven. So, last option is correct, b = 7 here.

Right angled triangle : A triangle is defined as a regular polygon, with three sides and the sum of any two sides is always greater than the third side. Right angled triangle is one type of triangle. When the angle between a pair of sides is equal to 90 degrees it is called a right-angle triangle. See in above figure ∆LMN is a right angled triangle with m∠LMN = 90° . Also, we have m∠MLN = x° so, m∠LNM = 180° - 90° - x° = 90° - x° ( Since, sum of interior angles of triangle = 180°)

Length of side LM = 10.5

length of side, NM = 2b

tangent of x, tan x = 4/3

We have to determine the value of b. For considering angle x° as centre point then

base of triangle = LM = 10.5

As we know Tangent of any angle is equals to ratio of perpendicular/base.

so, tan x = 4/3 = LM/NM

=> 4/3 = 2b / 10.5

=> 4× 10.5 = 2b × 3

=> b = 42.0/6

=> b = 7

So, the required value is 7.

To learn more about right angled triangle, refer:

https://brainly.com/question/64787

#SPJ4

yea seven is right. just finished

Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

Learn more about probability: https://brainly.com/question/251701

#SPJ1

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

Learn more about the weighted average visit:

https://brainly.com/question/18554478

#SPJ4

Answer:

Step-by-step explanation:

7(c-13)

the product of 7, and, c-13

Answer: c7-7 13

13 is smaller and is right next to the 7

Step-by-step explanation:

7(c-13)

c7-7 13

To find the mean of the sampling distribution for the difference in mean salaries, we need to subtract the mean salary of football players from the mean salary of baseball players.

Mean salary of baseball players: $3.2 million
Mean salary of football players: $1.9 million

Mean of the sampling distribution for the difference in mean salaries (7,-) = Mean salary of baseball players - Mean salary of football players

7,- = $3.2 million - $1.9 million

7,- = $1.3 million

So, the mean of the sampling distribution for the difference in mean salaries is $1.3 million. The correct answer is:

O 1.3

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

Answer:

47 - 2n

Step-by-step explanation:

An algebraic expression is an idea of representing numbers using letters or alphabet.

From the question above,

The variable = n

twice the number = 2× n = 2n

Translating:

47 - 2n

Answer:

Top left because its 3:15-4:45

Step-by-step explanation:

Answer:

the top left one

Step-by-step explanation:

each line represents 15 minutes

it starts at 3:15 and end at 4:45 and there is a 1 and a half hour difference between these two times

The answers are explained in the solution below.

Multiplication is an operation that represents the basic idea of repeated addition of the same number.

Given are some operation based on multiplication,

1) 26 x 3/4 = 78/4

2) 9 x 7/10 = 63/10

3) 2/5 x 32 = 64/5

4) 1/8 x 400 = 400/8 = 50

5) 15 x 4/5 = 60/5 = 12

6) 3/11 x 66 = 198/66 = 18

7) 45 x 3/8 = 135/8

8) 3/10 x 12 = 36/10 = 18/5

9) 55 x 2/5 = 110/5 = 22

10) 5/6 x 40 = 200/6 = 100/3

11) 7/9 x 54 = 378/54 = 7

12) 600 x 5/12 = 3000/12

= 250

13) 2/3 x 21 = 42/3 = 14

14) 500 x 3/5 = 1500/5 = 300

15) 72 x 5/8 = 360/8 = 45

16) 2/9 x 35 = 70/9

Learn more about multiplications, click;

https://brainly.com/question/5992872

#SPJ1

Based on the given information, with a mean length of 154 seconds and a standard deviation of 31 seconds for country & western songs, we can calculate the probability that a random selection of 15 songs will have a mean length of less than 148.1 seconds.

To solve this problem, we can use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases. Since the sample size is 15, we can assume that the distribution of the sample means will be approximately normal.

The mean of the sample means will still be 154 seconds, but the standard deviation of the sample means can be calculated by dividing the original standard deviation by the square root of the sample size. In this case, the standard deviation of the sample means is 31 / sqrt(15).

Next, we can calculate the z-score for a mean length of 148.1 seconds using the formula: z = (x - μ) / (σ / sqrt(n)), where x is the desired mean length, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plug in the values and calculate the z-score.

Finally, we can use the standard normal distribution table or a statistical software to find the probability associated with the calculated z-score. This probability represents the percentage of random selections of 15 songs that will have a mean length of less than 148.1 seconds.

learn more about Distribution here:

https://brainly.com/question/32696998

#SPJ11

Answer:

-4/5

Step-by-step explanation:

The slope of the graph is -4/5. The slope is the change in y over the change in x. The y-value decreases by 4 and the x-value increases by 5. So the slope is -4/5. One visual way to check this is to remember that slopes that are fractions will make the line flatter, while numbers with absolute values greater than 1 make the slope steeper.

Answer:

R y-axis (x,y) to (-x,y)

Step-by-step explanation:

The  rule for reflection is \(r_y\) axis (x, y) -> (-x, y).

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure.

The original shape of the object is known as the Pre-Image, and the final shape and location of the object is known as the Image during the transformation.

As per the figure. the coordinates of Triangle LMN are

L(-6, 2),

M(-5, 4)

N(-3, 2)

and, the coordinates of Triangle L'M'N' are

L'(6, 2),

M'(5, 4)

N'(3, 2)

Here, the y coordinate is same only the sign of x coordinate change.

So, the rule for reflection is r y- axis (x, y) -> (-x, y).

Learn more about Transformation here:

https://brainly.com/question/13801312

#SPJ7

Answer:

A

Step-by-step explanation:

5 is 50/1000, and 1/2% is equal to 5/1000

Answer:

A) 55/ 1,000

5 1/2% = 11 / 200 = 55/ 1,000

Answer: AB≅EF, ∠B≅∠E, BC≅DE

Step-by-step explanation:

AB and EF are both marked with one line, making them congruent.

The same goes for BC and DE since they are marked with two lines.

Angles B and E are congruent because of the marking that is specified in both figures.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

For more questions on: combinations

https://brainly.com/question/29595163

#SPJ8                  

The signal x; is a discrete signal with N samples and taking values x(n) = &**/N for n = 0,1,...,N-1. The signal Xt is the discrete Fourier transform of x; and is given by:

Xt(k) = Σn=0N-1 x(n) exp(-i2πnk/N)

This means that the Fourier transform of x(n) gives us a set of coefficients, Xt(k), that represent the contribution of each frequency, k, to the original signal x(n). In other words, the relationship between the signals x; and Xt is that Xt is a frequency-domain representation of x;.

The relationship between x and x ¢ is that x ¢ is the complex conjugate of x. This means that if x(n) = a + bi, then x ¢(n) = a - bi. In terms of the Fourier transform, this means that if X(k) is the Fourier transform of x(n), then X ¢(k) is the complex conjugate of X(k). Mathematically, this can be expressed as:

X ¢(k) = Σn=0N-1 x(n) exp(i2πnk/N)

So, the relationship between x and x ¢ is that they are complex conjugates of each other, and the relationship between their Fourier transforms, X(k) and X ¢(k), is that they are also complex conjugates of each other.
Hi! I understand that you want to know the relationship between signals x and x_t, as well as x and x', given a parameter k and a discrete signal x of duration N with values x(n) = &**/N for n = 0, 1, ..., N-1.

1. Relationship between x and x_t:
Assuming x_t is the time-shifted version of the signal x by k units, we can define x_t(n) as the time-shifted signal for each value of n:

x_t(n) = x(n - k)

Mathematically, the relationship between x and x_t is represented by the equation above, which states that x_t(n) is obtained by shifting the values of x(n) by k units in the time domain.

2. Relationship between x and x':
Assuming x' is the derivative of the signal x with respect to time, we can define x'(n) as the difference between consecutive values of x(n):

x'(n) = x(n + 1) - x(n)

Mathematically, the relationship between x and x' is represented by the equation above, which states that x'(n) is the difference between consecutive values of the discrete signal x(n), approximating the derivative of the signal with respect to time.

Visit here to learn more about complex conjugate brainly.com/question/29960316

#SPJ11

Answer:

P(all female)= 1/2 x 1/2 x 1/2 = 1/8

P(all male ) = 1/2 x 1/2 x 1/2 = 1/8

P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4

What is the probability that a three-child family is two girls and one boy?

Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.

So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.

This allows us to write the overall gender probability distribution for families of three children as follows:

1/8 will be three girls

3/8 will be two girls and one boy

3/8 will be one girl and two boys

1/8 will be three boys

Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)

Step-by-step explanation: