6 green balls and four red balls are in a bag. a ball is taken from the back, its color recorded, then placed back in the bag. a second ball is taken and its color recorded. what is the probability that they are the same color

Answer:

54.2%

Step-by-step explanation:

desmos scientific

54.2% of 1450 = 785.9

Round it and it will be 786,

because 9 is after 5 so it adds one to 785.

Please give me Brainliest.

I hope this helped! :)

3x + 2y - 2z = 17

when x = 5, y = 2, and z = 1

Given

3x + 2y - 2z

For x = 5, y = 2 and z = 1, we have:

3(5) + 2(2) - 2(1)

= 15 + 4 - 2

= 17

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Given:

The area of a sector = \(9\pi\text{cm}^2\)

The sector cover \(\dfrac{1}{4}\) of the entire circle.

To find:

The radius of the circle.

Solution:

Let r be the radius of the circle. Then, the area of the circle is:

\(A=\pi r^2\)

It is given that the sector cover \(\dfrac{1}{4}\) of the entire circle. So, the area of the sector is equal to \(\dfrac{1}{4}\) of the area of the entire circle.

\(9\pi=\dfrac{1}{4}\times \pi r^2\)

Multiply both sides by 4.

\(36\pi =\pi r^2\)

Divide both sides by \(\pi\).

\(36 =r^2\)

Taking square root on both sides.

\(\pm \sqrt{36} =r\)

\(\pm 6 =r\)

Radius of a circle cannot be negative. So, \(r=6\).

Therefore, the radius of the circle is 6 cm.

Answer:

what is the question ? but i dont know ans

Answer:

E = 20h, she earns $300 for 15 hours

Given a quadrilateral ABCD, with the sides AB and DC parallel and equal in length. Let us denote angle BAD as ∠α and angle ADC as ∠β. Now, we have to find the values of the variables x and y such that ABCD is a parallelogram.

Parallelogram has a pair of parallel sides. So, we have AB ∥ CD. It is given that ∠α = ∠β and AB = CD. So, by angle-angle-side rule, the two triangles ABD and DCA are congruent.

In triangle ABD, we have:∠DAB = 180° - ∠α = 180° - ∠β (as ∠α = ∠β)⇒ ∠DAB + ∠CDA = 180° (linear pair of angles)⇒ ∠CDA = ∠β.In triangle DCA, we have:∠CDA = ∠β (as obtained above)⇒ ∠CAD = ∠α (as ∠α = ∠β)⇒ ∠BDC = 180° - ∠α = 180° - ∠β (linear pair of angles)⇒ ∠BDC = ∠DAB.In quadrilateral ABCD, the adjacent angles are supplementary. So, we have:∠BDC + ∠BCD = 180° (adjacent angles are supplementary)⇒ ∠DAB + ∠BCD = 180° (as ∠BDC = ∠DAB)⇒ ∠BCD = 180° - ∠DAB.In triangle ACD, we have:∠C = ∠C (common)⇒ ∠CAD + ∠BCD = 180° (angles of a triangle add up to 180°)⇒ ∠α + (180° - ∠DAB) = 180°⇒ ∠α + ∠β = 180°.

Now, we can solve for x and y.In triangle ABD, we have:AB = BD⇒ 3x = 21 - x⇒ 4x = 21⇒ x = 21/4.In triangle DCA, we have:CD = DA⇒ 3y = 22 - y⇒ 4y = 22⇒ y = 11/2. Therefore, the value of x is 21/4 and the value of y is 11/2.

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Answer:

22

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

because i said so 2+2+2=6 and x=5 but two x=10

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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The possible sequences of rolls could there have been Sequence = 120

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

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To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Let's assume that x represents the number of square feet in the garden, and y represents the number of carrots that can be grown at a time.

We are given that when the garden is 2 square feet, she can grow 8 carrots at a time. This suggests a linear relationship between x and y.

To find the equation, we can use the concept of proportionality. Since the number of carrots grown is directly proportional to the area of the garden, we can set up a proportion:

x/y = 2/8

Cross-multiplying, we have:

8x = 2y

Dividing both sides by 2, we get:

4x = y

So, the equation for the relationship between x and y is y = 4x.

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Answer:

After 4.5 hours of driving at the same constant speeds, Drew and Rachel are 6.5 miles apart.

Hope This Helps :)

The equation imply is: An increase of $1 in marketing is associated with an increase of $1,000 in sales.

According to the equation ŷ = 35,000 + 2x, where ŷ represents sales and x represents marketing, the coefficient of x is 2. This implies that for every $1 increase in marketing (x), there will be a corresponding increase of $2,000 in sales (ŷ).

Therefore, the correct answer is that an increase of $1 in marketing is associated with an increase of $2,000 in sales, as indicated by the coefficient value of 2 in the equation. It is important to note that the coefficient represents the rate of change between the two variables. In this case, for every unit increase in marketing, sales will increase by $2,000.

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Answer:

  (a)  four and eighty three hundredths with the three repeating

Step-by-step explanation:

The mixed number 4 5/6 will have a repeating decimal fraction, so finite-length decimals will not express it exactly.

  4 5/6 = 4 +5/6 = (4×6)/6 +5/6 = (24+5)/6 = 29/6 . . . . . not 6/29

As you can see from the long division (attached), the decimal fraction will have repeating 3s.

  \(4\dfrac{5}{6}=4.833... =\boxed{4\dfrac{83.\overline{3}}{100}}\)

The exact value of four and five sixths is represented as "six twenty ninths." So, the correct answer is 2.

The value "four and five sixths" is a mixed number. It consists of a whole number part (4) and a fractional part (5/6).

To represent this value exactly, you need to find a fractional form where the numerator (top part) is 5 and the denominator (bottom part) is 6, which is 5/6.

In fractional form, it's represented as 5/6. However, you can also express it as a decimal, which is approximately 0.8333 when rounded to four decimal places.

So, "four and five sixths" can be expressed as:

- Fraction: 5/6

- Decimal (approximate): 0.8333

The other options provided:

- "Four and eighty-three hundredths with the three repeating" does not accurately represent "four and five sixths."

- "4.8" represents "four and eight-tenths," which is different from "four and five sixths."

- "484%" represents 484 percent, which is not the same as "four and five sixths."

Therefore, "six twenty ninths" or 5/6 is the correct representation for "four and five sixths" in fractional form.

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Answer:

56

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.

Answer:

1 acre is equal to 43,560 square feet.

(hope this help's let me know if not.)

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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The given equation: r(t) = (8 sin t) i + (6 cos t) j + (12t) k gives the position of a particle in space at time t. The velocity of the particle at time t can be calculated using the derivative of the given equation: r'(t) = 8 cos t i - 6 sin t j + 12 k We know that acceleration is the derivative of velocity, which is the second derivative of the position equation.

The magnitude of the velocity at time t is given by:|r'(t)| = √(8²cos² t + 6²sin² t + 12²) = √(64 cos² t + 36 sin² t + 144)And the direction of the velocity is given by the unit vector in the direction of r'(t):r'(t)/|r'(t)| = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)Similarly, the magnitude of the acceleration at time t is given by:|r''(t)| = √(8²sin² t + 6²cos² t) = √(64 sin² t + 36 cos² t)And the direction of the acceleration is given by the unit vector in the direction of r''(t):r''(t)/|r''(t)| = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)Therefore, the velocity vector is: r'(t) = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)The acceleration vector is: r''(t) = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)

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Answer: 25.6

Step-by-step explanation: Have an Amazing Day :)

Answer:

25.6 this will be the answer

Step-by-step explanation:

Hope it helps

Answer:5y-2z

Step-by-step explanation:

Nothing further can be done with this equation, it is in its simplest form.

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

a. two critical points are (0,0) and (-2, -4). b. H has two positive eigenvalues, and (-2,-4) is a local minimum of f(x,y).

(a) To find the critical points of f(x,y), we need to find the partial derivatives of f(x,y) with respect to x and y, and then set them equal to zero.

∂f/∂x = 4x^3 - 8y

∂f/∂y = 4y - 8x

Setting these partial derivatives equal to zero and solving for x and y, we get:

4x^3 - 8y = 0 => y = x^3/2

4y - 8x = 0 => y = 2x

Substituting y = 2x into y = x^3/2, we get:

2x = x^3/2 => x(x^2 - 4) = 0

So we have two critical points: (0,0) and (-2, -4).

(b) To classify the critical points, we need to use the second partial derivative test. The Hessian matrix of f(x,y) is:

H = [12x^2 -8 -8-8 4 0-8 0 0]

At (0,0), we have H = [-8 -8; -8 4], which has determinant (-8)(4)-(-8)(-8) = 0 and trace -4. Since the determinant is zero, we cannot use the second partial derivative test at (0,0). Instead, we can observe that f(0,0) = 0, and f(x,y) is positive for all (x,y) not equal to (0,0). Therefore, (0,0) is a saddle point. At (-2,-4), we have H = [44 -8; -8 0], which has determinant (44)(0)-(-8)(-8) = 64 > 0 and trace 44 > 0. Therefore, H has two positive eigenvalues, and (-2,-4) is a local minimum of f(x,y).

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Answer:

Step-by-step explanation:

This is a geometric sequence, where each term is obtained by multiplying the previous term by 4. The first term is 1, and the common ratio is 4. We can use the formula for the sum of a finite geometric series to find the sum of the first six terms:

S = a(1 - rⁿ) / (1 - r)

where:

a = first term = 1

r = common ratio = 4

n = number of terms = 6

Plugging in the values, we get:

S = 1(1 - 4⁶) / (1 - 4)

S = - 1(1 - 4096) / 3

S = - 4095 / 3

Therefore, the sum of the series 1 + 4 + 16 + 64 + 256 + 1024 is -4095/3, or approximately -1365.

Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs