13. A bag contains 8 balls of which 2 are red and 6 are white. A ball is selected and not replaced. A
second ball is selected. Find the probability of
obtaining:

(a) two red balls,
(b) two white balls,
(d) one ball of each colour.​

Need explanation
pls help
will give the brainliest!

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

Answer:

The answer is 6î + 9j – 15k

Step-by-step explanation:

So,

A = 2î + 3j – 5k

Multiply The value of A with 3 we get,

3A = 3(2î + 3j – 5k)

3A = 6î + 9j – 15k

Thus, The value of 3A is 6î + 9j – 15k

-TheUnknownScientist 72

Answer:

No

Step-by-step explanation:

Because first you have to distribute so you will do

\(3 \times 4 = 12\)

\(3 \times x = 3x\)

Than You will combine 5x and 3x

\(5x + 3x = 8x\)

Last you will get

\(8x - 12\)

(a) The value of st from the second constraint into the first constraint is yt = ct + (ct+1 - ct) = 2ct + ct+1, (b) The constraint for ct+1 is yt - 2ct, (c) u(ct) = ln(ct) + βln(yt - 2ct), (d) u'(ct) = 1/ct - 2β/(yt - 2ct), (e) 1/ct = 2β/(yt - 2ct), (f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice, (g) β = 0.9524.

(a) To combine the two constraints, we can substitute the value of st from the second constraint into the first constraint:

yt = ct + st
yt = ct + (ct+1 - ct) = 2ct + ct+1

(b) Solving the constraint for ct+1, we get:

yt = 2ct + ct+1
ct+1 = yt - 2ct

(c) Plugging the constraint into ct+1 in the utility function, we have:

u(ct) = ln(ct) + βln(yt - 2ct)

(d) Differentiating the utility function with respect to ct, we get:

u'(ct) = 1/ct - 2β/(yt - 2ct)

(e) To derive the Euler Equation, we set the derivative of the utility function with respect to ct equal to 0:

0 = 1/ct - 2β/(yt - 2ct)

Simplifying, we have:

1/ct = 2β/(yt - 2ct)

(f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice. It states that the marginal benefit of consuming one additional unit today (1/ct) is equal to the discounted marginal benefit of consuming one additional unit tomorrow (2β/(yt - 2ct)).

(g) If rho=0.05 and the real interest rate is 3%, we can calculate the value of β:

β = 1/(1+rho)

= 1/(1+0.05)

= 0.9524

To determine whether ct or ct+1 is larger, we need more information.

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Answer:

Turn 4^y = 54

y

=5 into a logarithm and that is the graph

4^y = 54

y

=5 = log_4 x =ylog

4

x=y

log_4 x =ylog

4

x=y

OR

y = log_4 xy=log

4

x

The graph of y = log_4 xy=log

4

x can be used.

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

Answer:

180-(65+57)=58

Step-by-step explanation:

Answer:

Step-by-step explanation:

There's only 1 angle to find.

45 + 57 + ? = 180                    All triangles have interior angles that add to 180.

102 + ? = 180                          Combined 45 and 57  Subtract 102 from both sides

? = 180 - 102                           Combine

? = 78

Answer:

The answer is A

Step-by-step explanation:

Quotient means division, so b and c are out. 8 came first, so A is the correct answer

Answer:

Uh, this isnt solvable, you sure u got the right problem???

Step-by-step explanation:

The delivery time for mail varies depending on several factors, including the weight of the package.

The delivery time for mail can range from a few hours to several weeks, depending on the type of service you choose. For instance, if you opt for express delivery, your package will be delivered faster than regular mail.

Moreover, the weight of the package can also have an impact on the delivery time. Typically, heavier packages take longer to deliver than lighter ones since they require more time and resources to handle and transport.

However, it's worth noting that the delivery time for mail is not solely dependent on the weight of the package. Other factors, such as the distance between the sender and recipient, the mode of transportation, and the efficiency of the delivery company, can also affect the delivery time.

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Answer: y=-x-1

Step-by-step explanation:

x + 1 = -y

*Isolate y by diving the hidden negative one

x+1 =y

 -

-x-1=y or y = -x - 1

Answer:

Step-by-step explanation:

Slope = y/x

x + y + 1 = 0

m = -(1)/1

 m  =  -1

Based on the provided information, it is most likely that the array "toy" is a matrix. A matrix is a two-dimensional array where each element is of the same data type.

Looking at the given representation of "toy" on the console, we see that it is arranged in a grid-like structure with rows and columns. The elements in the array are separated by spaces, and there are consistent patterns in the arrangement, such as numbers and letters appearing in specific positions. This suggests a structured organization, characteristic of a matrix.

While it is possible that "toy" could be a different type of array, such as a jagged array or a list of lists, the given representation strongly suggests a matrix-like structure. Additionally, the presence of numerical and alphabetical elements arranged in a grid further supports the idea of a matrix. Therefore, the most likely option is that "toy" is a matrix.

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The gradient of the function f(x, y) = x²y² - xy can be found by taking the partial derivatives with respect to x and y.

(a)The gradient of f at (2, 1) is (-6, 8).

To find the gradient, we take the partial derivative of f with respect to x and y separately.

∂f/∂x = 2xy² - y

∂f/∂y = 2x²y - x

Plugging in the values x = 2 and y = 1, we have:

∂f/∂x = 2(2)(1)² - 1 = 4 - 1 = 3

∂f/∂y = 2(2)²(1) - 2 = 8 - 2 = 6

Therefore, the gradient of f at (2, 1) is (∂f/∂x, ∂f/∂y) = (3, 6).

The directional derivative of f at (2, 1) in the direction of -i + 3j is 18.

To find the directional derivative, we need to compute the dot product between the gradient of f and the unit vector in the given direction.

The unit vector in the direction of -i + 3j is (-1/√10, 3/√10).

Taking the dot product of the gradient (-6, 8) and the unit vector (-1/√10, 3/√10), we get:

(-6, 8) · (-1/√10, 3/√10) = -6(-1/√10) + 8(3/√10) = 6/√10 + 24/√10 = 30/√10 = 18

Therefore, the directional derivative of f at (2, 1) in the direction of -i + 3j is 18.

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The correct answer is "lim n rightarrow infinity xn/n! = 0 for all values of x."

To determine whether the series an is absolutely convergent, conditionally convergent, or divergent, we need to apply the appropriate tests. One possible test to use is the ratio test, which compares the absolute value of consecutive terms. Applying the ratio test to the series an, we get:

|an+1/an| = |(3cos(n+1))/(n+1)| ≤ 3/|n+1|

Since the limit of 3/|n+1| as n approaches infinity is zero, the series an is absolutely convergent by the ratio test.

Moving on to the second part of the question, we want to determine for what values of x the series xn/n! is convergent. This series is also known as the power series for e^x. The series converges for all x, which means the correct answer is "x ge 0 for all x."

Finally, we are asked to draw a conclusion about the limit of xn/n! as n approaches infinity. Using the ratio test, we can show that this limit is zero for all values of x.

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For the first series, we have:

an = 2, 6cos(1), 18cos(2), 54cos(3), ...

We can use the ratio test to determine whether this series is absolutely convergent, conditionally convergent, or divergent:

|an+1/an| = 3|cos(n+1)/cos(n)|

Since the cosine function oscillates between -1 and 1, the ratio |an+1/an| is not bounded as n goes to infinity. Therefore, the series is divergent.

For the second question, we want to find the values of x such that the series

xn/n! = x/1! + x^2/2! + x^3/3! + ...

is convergent. This is the power series expansion of the exponential function e^x, so the series converges for all real values of x. Therefore, the answer is "x ge 0 for all x".

For the third question, we can use the ratio test to find that the limit of xn/n! as n goes to infinity is zero for all values of x. Therefore, the answer is "lim n rightarrow infinity xn/n! = 0 for all values of x".

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Answer: 3000 meters

Step-by-step explanation:

Answer:3

Step-by-step explanation: 1 BLOCK 1 BLOCK 1 BLOCK=3

Answer:

total bill = $15.23

Step-by-step explanation:

4.5 + 2.5 + 7.5 = 14.5

14.5 x 0.05 = 0.725

14.5 + 0.725 = 15.225 ≈ 15.23

The solutions of the equation -x squared - 6x = 0 are x = 0 and x = -6

From the question, we have the following parameters that can be used in our computation:

-x squared - 6x = 0

Express properly

So, we have

-x^2 - 6x = 0

Divide through by -1

So, we have

x^2 + 6x = 0

Factor out x

This gives

x(x + 6) = 0

When solved for x, we have

x = 0 and x = -6

Hence, the solutions are x = 0 and x = -6

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The curvature k(t) using the formula:

k(t) = 5/169

Given a space curve r(t) = (5 sin t) i + (5 cos t)j + 12tk.

We are to find T, N, and k for the space curve. The formula for the unit tangent vector T is given by

T(t) = (r'(t))/|r'(t)|.

To find the T, N, and k, we need to find T first and then differentiate T to find N and k. First, let's find r'(t).Differentiating r(t), we get:

r'(t) = 5cos(t)i - 5sin(t)j + 12k

Using this, we can find the unit tangent vector

T(t) = (r'(t))/|r'(t)| as:

T(t) = [(5cos(t))i - (5sin(t))j + 12k]/[(5^2cos^2(t) + 5^2sin^2(t) + 12^2)^0.5]T(t) = (5cos(t))i - (5sin(t))j + 12k/13

The unit tangent vector is:T(t) = ((5cos(t))/13)i - ((5sin(t))/13)j + (12/13)kTo find the normal vector N(t), we differentiate T(t) and divide by the magnitude of the derivative.

N(t) is the unit vector in the direction of this derivative. Mathematically:

N(t) = T'(t)/|T'(t)|Differentiating T(t),

Now, the unit normal vector N is given as N(t) = (-sin(t)/5)i - (cos(t)/5)j

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The device that indicates whether two AC sources to be connected in parallel are in the correct phase relationship is called a synchronizing device.

A synchronizing device is a mechanism that ensures that two AC sources are in sync when they are connected in parallel. It's used to match the voltage, frequency, and phase angle of two alternating current (AC) sources.

It guarantees that the power supplied by both generators is synchronized, allowing them to be combined into a single electrical system without disrupting the balance of the current or causing a short circuit.

As a result, it is critical to the safe and efficient operation of power systems. A phase sequence indicator (PSI) or a synchroscope is often used as a synchronizing device. It works by providing an indication of the voltage difference, the phase angle difference, and the frequency difference between two AC sources that are to be synchronized.

Therefore, a synchronizing device is an instrument that determines whether two alternating current (AC) sources to be connected in parallel are in the appropriate phase relationship.

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The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).

We can calculate with the help of one of the trigonometric identities;

sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)

WE have given

sin (10x) cos (7x)

Here, A = 10x

B= 7x

So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)

sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)

sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)

sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)

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a) Two equivalent expressions to model the purchase made by Mrs. Singh, who bought 9 folders and 9 notebooks at the cost of each folder $2.50 and each notebook $4.00 respectively, are:

b) The total cost of the purchase by Mrs. Singh is $58.50.

Algebraic expressions involve the combination of variables, numbers, constants, and values using mathematical operands (addition, subtraction, division, and multiplication).

The unit cost of folders = $2.50

The unit cost of notebooks = $4.00

The number of folders bought = 9

The number of notebooks bought = 9

Let the number of folders bought = x

Let the number of notebooks bought = y

Folders: 2.50x

Notebooks: 4.00y

Folders: 2.50x = $22.50 ($2.50 x 9)

Notebooks: 4.00y = $36.00 ($4 x 9)

Total costs = $58.50

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The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

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The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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Answer:

i am sure it is number 3 238,600

There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

16 cm²/m²

Step-by-step explanation:

The formula to find the area of a triangle is:

 Area of the triangle = \(\frac{1}{2}\) × base × height

Where base = 8 and height = 4

 So, the area of the triangle =  \(\frac{1}{2}\) × 8  × 4 = 16 cm²/m²

Answer:

it is 13x=2

Step-by-step explanation:

i ran the math through my multipurpose calculator

Answer:

32.60

Step-by-step explanation:

cause u multiple y by 5 just trust me

Answer: -6x^7

Step-by-step explanation:

 2x^3 × (-3x^4)

=(2×-3) · (x^3 × x^4) ⇔ multiply the like terms

=-6 × [x^(3+4)] ⇔ the multiplication of exponents works as addition if same base

=-6x^7

Answer:

\(-6x^7\)

Step-by-step explanation:

So when doing this equation, you multiply the numbers, which is 2 × -3, and add the exponents, which is 3 + 4, so then you get the answer, and that is \(-6x^7\).