Please help me respond this

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

The height of the cone in terms of y is h = y / 4.

The cylinder and the cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x.

Therefore,

volume of a cylinder = πr²h

where

Volume of a cone = 1 / 3 πr²h

where

Therefore,

πr²h = 1 / 3 πr²h

πx²y = 1 / 3 π (2x)²h

πx²y = 1 / 3 π 4x² h

multiply both sides by 3

πx²y = π 4x² h

divide both sides by  π 4x²

Hence,

h = πx²y  / π 4x²

h = y / 4

Therefore, the height of the cone is h = y / 4.

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they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023

Answer:

\( 48 - 20x = 9 \)

Step-by-step explanation:

\( 2 - \dfrac{5}{6}x = \dfrac{3}{8} \)

Multiply both sides by the LCD which is 24.

\( 24(2 - \dfrac{5}{6}x) = 24(\dfrac{3}{8}) \)

\( 48 - 20x = 9 \)

Responder:

1/15

Explicación paso a paso:

Dado que :

Número bolas verdes = 3

Número de bolas rojas = 5

Número de bolas azules = 2

Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = 3 + 5 + 2 = 10

P (1er azul) = número de azules / 10

P (1er azul) = 2/10 = 1/5

Sin reemplazo :

Total restante = 10 - 1 = 9

P (segundo verde) = número de verdes / 9 = 3/9

Probabilidad del primer azul y del segundo verde:

1/5 * 3/9 = 3/45 = 1/15

The probability that the first is blue and the second is green is 1/15

Probability is the likelihood or chance that an event will occur.

If a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls

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Answer:

96million

Step-by-step explanation:

48/6=8

12 000 000 * 8 = 96 000 000

=96 million

Answer:

96 million

Step-by-step explanation:

48/6= 8

8*12 million = 96 million

The curve described, with a hump at higher positive numbers and a tail going toward the negative, is called a positively skewed distribution. It indicates an asymmetrical distribution with outliers on the right side, pulling the mean in that direction.

This type of curve is commonly observed in statistics and probability distributions. It indicates that the data or values are not evenly distributed around the mean or center of the distribution. Instead, there is a noticeable asymmetry, with one side of the curve being more pronounced or extended compared to the other.

In statistical terms, a curve with a hump at the higher positive numbers and a tail going toward the negative is known as a "positively skewed" distribution. This means that the tail of the curve is skewed towards the left, while the hump or peak is towards the right.

Positive skewness indicates that there are outliers or extreme values on the right side of the distribution, which pull the average or mean in that direction. The tail extending towards the negative side suggests that there are fewer values in that range.

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When the sum of their squares is as largest as possible the numbers are 0 and 20, when the sum of their squares is as small as possible, the numbers are 10 and 10

Sum of the two numbers = 20

First we have to find the sum of their squares is as large as possible

Consider the first number as x and second number as y

To get the largest values the value of x or the value of y should be zero

Then the two numbers are 0 and 20

To get the small as possible

x^2 + (20-x)^2 = x^2 + x^2 - 20x +400

= 2x^2 -20x + 400

= 2(x^2 - 10x + 100)

The one number will be 10 and the other number will be 10

Therefore, to get the largest value the numbers will be 0 and 20 and to get the smallest value the numbers will be 10 and 10

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The simplified fοrm οf the inequality is  -5x < -10.

The term "inequality" is used in mathematics tο describe a relatiοnship between twο expressiοns οr values that is nοt equal tο οne anοther. Inequality results frοm a lack οf balance. When twο quantities are equal, we use the symbοl '=', and when they are nοt equal, we use the symbοl. If twο values are nοt equal, the first value can be greater than (>) οr less than (), οr greater than equal tο () οr less than equal tο ().

Here the given inequality is,

=> 7-2( x + 2) <-4 - 3(1 – x)

Nοw simplifying the inequality then,

=> 7-2( x + 2) <-4 - 3(1 – x)

=> 7-2x-4 < -4-3+3x

=> 3-2x < 3x-7

=> -2x -3x < -7-3

=> -5x < -10

Hence the simplified fοrm οf the inequality is  -5x < -10.

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Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

Answer:

x = 70

Step-by-step explanation:

180* (n-2)

180*(6-2)

180*(4) = 720

102 + 146 + 120 + 124 + 158 = 650

720 - 650 = 70

A polygon is a planar figure characterized by a limited number of straight-line segments. The value of the x is 70°.

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angles of a n-sided polygon is calculated using the formula,

Sum of the interior angles = (n-2) × 180°

For the given polygon, the number of sides is equal to 6. Therefore, the sum of the interior angles of the polygon is,

Sum of the interior angles = (6-2) × 180°

                                            = 4 × 180°

                                            = 720°

Further, the sum of the interior angles for the given polygon can be written as,

Sum of the interior angles = 102° + 146° + 120° + 124° + 158° + x°

720° = 102° + 146° + 120° + 124° + 158° + x°

x = 720° -  (102° + 146° + 120° + 124° + 158°)

x = 720° - 650°

x = 70°

Hence, the value of the x is 70°.

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Step-by-step explanation:

volume = length × width × height =

= 6 × sqrt(5) × 3 × sqrt(5) =

= 18 × sqrt(5) × sqrt(5) =

= 18 × 5 = 90 cm³

Answer: P ≤ $10

Step-by-step explanation:

You have $18

You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10

This means that we the range of prices P that you can afford is:

P ≤ $10

This means that the price of the jeans can be, at maximum, 10 dollars.

Answer:

f = 3

g = -1

h = 6

r = 18

Step-by-step explanation:

Box 1

f(x) = \(2x^{4}\)-\(12x^{3}\)+\(16x^{2}\)+4x+15 with x = 3

f(3) = \(2(3^{4)}\) - \(12(3^{3} )\) + \(16(3^{2})\)+ 4(3) + 15

Reorder

Evaluate

Multiply

3f = 2 x 81 - 12 + 27 +16 x 9 + 12 +15

3f = 162 - 324 + 144 + 12 + 15

3f =  9

3  ÷  3

f = 3

Box 1

g(x) = \(3x^{3}\) - \(16x^{2}\) - 7x - 36 with x = 6

g(6) = \(3(6^{3} )\) - \(16(6^{2})\) - 7(6) - 36

g6 = 3 x 216 - 576 - 42 - 36

g6 = -6

6   ÷ 6

g = -1

Box 2

h(x) = \(5x^{3}\) - \(2x^{2}\) - 3 with x = -1

h(-1) = \(5(-1^{3} )\) - \(2(-1^{2})\) -3

h-1 = -5 + 2 -3

h-1 = -6

-1    ÷  - 1

h = -6

Box 2

r(x) = \(4x^{4}\) - \(9x^{2}\) + 5x - 2 with x = 2

r(2) = \(4(2^{4} )\) - \(9(2^{2} )\) + 5(2) - 2

r2 = 64 - 36 + 10 - 2

r2 = 36

2   ÷  2

r = 18

1) If we are given that Angle 1 is equal to 4x - 4

2) Angle 2 is equal to   2x - 2,

3) We need to find the value of x and the measures of Angle 1 and Angle 2.

Since angles 1 and 2 are part of the same figure or system, they must be supplementary angles, meaning their sum equals 180 degrees.

So, we have the equation:

Angle 1 + Angle 2 = 180

Substituting the given expressions for angles 1 and 2, we get:

(4x - 4) + (2x - 2) = 180

Substituting the given expressions for angles 1 and 2, we get:

(4x - 4) + (2x - 2) = 180

Adding 6 to both sides:

6x = 186

x = 31

Now that we know the value of x, we can substitute it back into the expressions for angles 1 and 2 to find their measures.

Angle 1 = 4x - 4 = 4(31) - 4 = 124 - 4 = 120 degrees

Angle 2 = 2x - 2 = 2(31) - 2 = 62 - 2 = 60 degrees

Therefore, x = 31, Angle 1 = 120 degrees, and Angle 2 = 60 degrees.

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Answer:

---------------------

According to the picture, angles 1 and 2 are complementary, since together they form a right angle.

It means:

Substitute values and solve for x:

Find the measure of each angle:

The probability that the Crimson Sox win and the Northerners lose is 24%.

What is a probability simple definition?

P(C) = 0.6    P(Nc) = 0. 4

So, the probability that the Crimson Sox win and the Northerners lose

                                                     = 0.6 × 0.4

                                                     = 0.24  or 24%

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Answer:

80

Step-by-step explanation:

This is a combination question that contains multiple clothing items and to solve such question we multiply the given numbers :

5 × 4 × 4 = 80

Answer:

C I think would be the answer.

Answer:

\(255.04\) cm

Step-by-step explanation:

\(\pi r^{2} h\)

\(\pi \times 3^2 \times h=7211\)

\(\pi \times 9 \times h=7211\)

\(h=7211 \div 9\pi\)

\(h \approx 255.036954\)

Answer:

h = 255.2 cm³

Step-by-step explanation:

V=πr²h

7211 = (3.14)(3)²h

h = 255.2 cm³

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Complete Question:

Which situation illustrates quadratic equation?

a. The length of a rectangular board is 3m longer than its width and its perimeter is 25m.

b. Joey paid at least P2,000 for the shirt and pants.The cost of pants is P700 more than the shirt.

c. A garden's length is 7m longer than its width and the area is 18 square meter.

d. A lot costbP4,000 per square meter and the area is 120 square meters.

Answer:

C.

Step-by-step explanation:

Required

Determine which option answers the question, correctly.

From the list of given options, only option c answers the question correctly.

This is shown below.

Represent

Length with l and Width with w, such that:

\(l = 7 + w\)

Area (A) is calculated as thus:

\(A = l * w\)

Substitute 7 + w for l and 18 for A.

This gives:

\(18 = (7 + w) * w\)

Open Bracket

\(18 = 7w + w^2\)

Reorder

\(w^2 + 7w = 18\)

Subtract 18 from both sides

\(w^2 + 7w - 18= 18 - 18\)

\(w^2 + 7w - 18= 0\)

See that the above expression is a quadratic equation.

Answer:

123 purple

Step-by-step explanation:

164/4 = 41

41 = yellow

3 times more purple

41 x 3 = 123

Answer:

the anser and the

Step-by-step explanation:

Answer:

If im wrong just say but i think it B

Step-by-step explanation:

The probability of rolling two fair 6-sided dice and getting an even sum is 1/2.

When rolling two dice, the total number of possible outcomes is 6 x 6 = 36, as each die has 6 possible outcomes.

We need to find the probability that the sum of the two numbers shown on the dice is even.

There are two cases to consider:

Case 1: The sum of the two numbers is even.

Case 2: The sum of the two numbers is odd.

Let's first consider Case 1:

To get an even sum, the two numbers on the dice must be either both even or both odd.

The probability of getting an even number on one die is 3/6 (since there are 3 even numbers on a 6-sided die). Therefore, the probability of getting an even number on both dice is (3/6) x (3/6) = 9/36.

Similarly, the probability of getting an odd number on one die is also 3/6, so the probability of getting an odd number on both dice is (3/6) x (3/6) = 9/36.

Therefore, the probability of getting an even sum is:

P(even sum) = P(both even) + P(both odd)

           = 9/36 + 9/36

           = 18/36

           = 1/2

Now let's consider Case 2:

To get an odd sum, one of the numbers on the dice must be odd and the other even.

The probability of getting an odd number on one die is 3/6, and the probability of getting an even number on the other die is also 3/6. Therefore, the probability of getting an odd sum is:

P(odd sum) = P(one even, one odd)

          = 2 x (3/6) x (3/6)

          = 9/36

Therefore, the probability of getting an even sum is 1/2 and the probability of getting an odd sum is 1/2. Since these are the only two possible outcomes, they must add up to 1.

In conclusion, the probability of rolling two fair 6-sided dice and getting an even sum is 1/2.

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The profit-maximizing level of outputs for the two-product firm is Q1* = 10 and Q2* = 5. This leads to prices P1* = 10 and P2* = 20, with a maximum profit of $250.

To find the profit-maximizing level of outputs, we need to determine the quantities that maximize the firm's profit. The profit function can be derived by subtracting the cost function from the revenue function. The revenue for product 1 is given by R1 = P1*Q1, and for product 2, R2 = P2*Q2.

By substituting the demand functions into the revenue functions, we get R1 = (40 - 2P1 - P2)Q1 and R2 = (35 - P1 - P2)Q2. The profit function is then given by Π = (40 - 2P1 - P2)Q1 + (35 - P1 - P2)Q2 - (Q1^2 + 2Q2^2 + 10).

To find the optimal quantities, we take the partial derivatives of the profit function with respect to Q1 and Q2 and set them equal to zero. Solving these equations simultaneously, we find Q1* = 10 and Q2* = 5.

Using these optimal quantities, we substitute them back into the demand functions to find P1* = 10 and P2* = 20. Substituting Q1* and Q2* into the profit function, we calculate the maximum profit to be Π* = $250.

To check the second-order conditions for profit maximization, we use the Hessian matrix. The Hessian matrix is the matrix of second partial derivatives of the profit function with respect to the quantities Q1 and Q2. Evaluating the Hessian matrix at the optimal quantities, we find that the determinant is positive, indicating a concave profit function and satisfying the second-order conditions for profit maximization.

Therefore, the profit-maximizing level of outputs is Q1* = 10 and Q2* = 5, with prices P1* = 10 and P2* = 20, and the maximum profit is $250. The second-order conditions for profit maximization are satisfied, confirming the optimality of this solution.

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Answer:

2

Step-by-step explanation:

Let the number be \(x\). Writing an equation in terms of the number, \(x\), gives

\(5x=13x-16\).

Adding \(16\) to both sides gives

\(5x+16=13x\).

Then, subtracting \(5x\) from both sides gives

\(8x=16\),

and dividing by 8 on both sides simplifies to

\(x=2\).

Step-by-step explanation:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

There are a lot of tiles to drag onto the board.

You would need to create a rectangle from 99 tiles.

80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.