A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble.what is the probability of choosing a green marble,not replacing it , and then choosing a red marble?

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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Answer:

A reflection across the y axis and then a reflection across the x axis

Step-by-step explanation:

Answer:

An 180 degree counterclockwise rotation around the origin

Step-by-step explanation:

plato/edmuntum answer

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

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

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

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The regression equation of the data in the question and the price of a 13 year old car are;

(a) The regression equation is; y = -0.551·x + 14.667

(b) The estimated price of a 13 year old car is $7,504

(c) The regression equation indicates that the initial value the car is $14,667

The value of the car decreases by about $551 each year

A regression equation is an expression of the possible relationships between a set of data.

The dataset is presented as follows;

Car \({}\)                     Age (Years)     \({}\)         Selling Price ($000)

1  \({}\)                        12  \({}\)                             10.3

2  \({}\)                       10  \({}\)                             9.2

3 \({}\)                        15  \({}\)                             4.6

4 \({}\)                        18 \({}\)                              4.2

5 \({}\)                        12 \({}\)                              5.1

6 \({}\)                        10 \({}\)                              11.6

7 \({}\)                        12 \({}\)                              8

8 \({}\)                        16 \({}\)                             7.8

9 \({}\)                        14 \({}\)                             7.8

10 \({}\)                       18 \({}\)                            4.3

11 \({}\)                        8 \({}\)                             10

12 \({}\)                       8 \({}\)                             8.8

The data points can be plotted on a graph using MS Excel as shown on the attached diagram.

The regression equation can be obtained through the use of the attached graph by making use of the Chart Design option under Chart Tools in the spreadsheet application as follows;

The trendline regression equation of the data in the table is; y = -0.551·x + 14.667

(b) The estimate of a x = 13 year old car is; y = -0.551 × 13 + 14.667 = 7.504

(c) The regression equation; y = -0.551·x + 14.667

The possible questions obtained from a similar post online are;

(a) To find the regression equation

(b) To estimate the price of a 13 year old car

(c) To provide an interpretation of the regression equation in dollars

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Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft

Check the picture below.

Answer:

1280

Step-by-step explanation:

I think it is 1280 because 20*16*8/2=1280. I am not 100% sure.

9514 1404 393

Answer:

  3.67 years

Step-by-step explanation:

The amount is found using the compound interest formula.

  A = P(1 +r/n)^(nt)

for principal P invested at annual rate r compounded n times per year for t years.

We can solve this for t:

  A/P = (1 +r/n)^(nt) . . . . divide by P

  log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm

  t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t

Filling in the given values, we find ...

  t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692

It will take about 3.67 years for the balance to reach $12,000.

Answer:

the answer is 3.67 years

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

The probability of each combination occurring is 1/15.

Let G be the set of grandchildren, G={Connor, Declan, Lucas, Piper, Sedona, Zayne}.

We can use the formula of nP2 to calculate the possible outcomes of the two grandkids being selected, where n is the number of elements in the set G or 6:

6P2 = 6!/(4!2!) = (6 x 5)/2 = 15

Therefore, there are 15 possible combinations in which the two tickets to the holiday show could go to. These 15 combinations are:

Combination 1: Connor and Declan

Combination 2: Connor and Lucas

Combination 3: Connor and Piper

Combination 4: Connor and Sedona

Combination 5: Connor and Zayne

Combination 6: Declan and Lucas

Combination 7: Declan and Piper

Combination 8: Declan and Sedona

Combination 9: Declan and Zayne

Combination 10: Lucas and Piper

Combination 11: Lucas and Sedona

Combination 12: Lucas and Zayne

Combination 13: Piper and Sedona

Combination 14: Piper and Zayne

Combination 15: Sedona and Zayne

The probability of each combination occurring is 1/15.

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The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

-6

Step-by-step explanation:

4- 2/3x > 2-×

x>-6 the equation needs to be solved first

Answer:

\(x > 1\)

if you graph

\(f(x) = x + 1\)

you'll see that it's that part of graph from x=1 to right and x=1 on this graph is not ncluded so it's x>1

Answer:

solution: \(Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}\)

Step-by-step explanation:

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

The answer would be $37.14

Answer:

15 cm

Step-by-step explanation:

Base x height / 2 = Area(of a triangle) =

3 x 10 / 2 =

15 cm

The solution is :  the area of the following triangle is, 15 cm².

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Here, we have,

given that,

4.2 cm

3 cm

10 cm

We know that,

area = bh/2

i.e. we get,

Base x height / 2

= Area(of a triangle)

substituting the values, we get,

= 3 x 10 / 2

= 15 cm²

Hence, The solution is :  the area of the following triangle is, 15 cm².

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Answer:

the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians

Step-by-step explanation:

Given the data in the question;

smaller angle formed by the hands of a  clock at 5 o'clock

{at 5 o'clock, two angles are form; 150° and 210°}

hence, the smaller angle is 150°

so, smaller angle = 150° × π/180°

smaller angle = 150°π/180°

smaller angle =  5π/6 radians or 2.618 radians

Therefore, the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians

The positive radian measure of the angle formed by the hands of the clock at 5 o'clock is \(\frac{5\pi}{6}\text{ radians}\)

In one minute, the long hand makes a full turn equivalent to \(2\pi\) radians.

At 1 o'clock, the smaller angle formed by the hands of the clock is

\(\dfrac{2\pi\text{ rads}}{12}=\dfrac{\pi}{6}\text{ rads}\)

At 5 o'clock, the smaller angle is five times the one we have when the time is 1 o'clock. That is

\(\dfrac{\pi}{6}\text{ radians}\times 5=\dfrac{5\pi}{6}\text{ radians}\)

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Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).

Answer:

130°

Step-by-step explanation:

Since both of the angles combined are a straight line, this means that when combined they equal 180°.

 50 + b = 180

- 50        - 50

b = 130

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

119 runners did not finish the race.

To determine the number of runners who did not finish the race, we need to calculate the total number of runners who started the race and subtract the number of runners who finished.

The total number of runners who started the race is the sum of the runners in each wave:

Total runners = Runners in first wave + Runners in second wave + Runners in third wave

Total runners = 341 + 295 + 316

Total runners = 952.

To calculate the number of runners who finished the race, we need to multiply the total number of runners by the fraction of runners who finished (7/8):

Runners who finished = Total runners \(\times (7/8)\)

Runners who finished \(= 952 \times (7/8)\)

Runners who finished = 833.

Since we cannot have half of a runner, we round down the decimal to the nearest whole number since we're dealing with people.

Therefore, 833 runners finished the race.

To find the number of runners who did not finish, we subtract the number of runners who finished from the total number of runners:

Runners who did not finish = Total runners - Runners who finished

Runners who did not finish = 952 - 833

Runners who did not finish = 119

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The central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians.

The formula for the central angle of a circle given the arc length is:

Plugging in the given values, we get:

θ = 2 * arccos(166/(2 * 86))

= 2 * arccos(1)

= 2 * 90°

= 180°

= 3.142 radians (rounded to three decimal places)

So the central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians. The central angle of a circle given arc length is given in the formula; for a given 86 km radius & 166 km arc, the central angle is approximately 3.142 radians.

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Multiply from right to left:

Step 1: multiply 6*7 and get 42. Carry the 4 left.

Step 2; multiply 7*7 to get 49. Add the 4 and get 53. Carry the 5 left.

Step 3: multiple 4*7 to get 28. Add 5 and get 33.

Step 4: move the decimal point 2 times to the left.

4.76

*7

_______

33.32