A bag contains 9 red balls numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 6 white balls numbered 10, 11, 12, 13, 14, 15. One ball is drawn from the bag. What is the probability that the ball is white, given that the ball is odd-numbered? (Enter your probability as a fraction.)

Answer:

-15

Step-by-step explanation:

-3 - 2(-6)

-3 -12

-15

Answer:

\(P(B|A)=0.565\)

Step-by-step explanation:

Call A to the event that represents a red light at the first traffic light

Then, call B the event that represents a red light at the second traffic light.

Then we know that:

P(A∩B) = 0.35

P(A) = 0.62

Then the probability that the second light is red because the first one is red is:

\(P(B|A)=\dfrac{P(A \ and \ B)}{P(A)}\)

Then:

\(P(B|A)=\dfrac{0.35}{0.62}\)

\(P(B|A)=0.565\)

There is a 56.5% chance that the second light is in red

Both events A and B have probabilities of 1/12, and they are independent events since the outcome on one die does not affect the outcome on the other die.

The event A consists of all outcomes in which the number of spots showing on the red die is three or less.

Since the red die has six equally likely outcomes (1, 2, 3, 4, 5, and 6), the probability of A is:

P(A) = the number of outcomes in A / the total number of possible outcomes.

Out of the six possible outcomes on the red die, three of them are three or less: 1, 2, and 3.

Therefore, the number of outcomes in A is three.

Since there are six equally likely outcomes for the green die as well, the total number of possible outcomes is 6 x 6 = 36.

Therefore, we have:

P(A) = 3/36 = 1/12.

The event B consists of all outcomes in which the number of spots showing on the green die is more than three.

There are also three outcomes on the green die that satisfy this condition: 4, 5, and 6.

Thus, we have:

P(B) = 3/36 = 1/12.

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Answer:

12.5%

Step-by-step explanation:

1/8=0.125=12.5%

Answer:

Step-by-step explanation:

ΔVWX is an isosceles triangle.

∠V ≅∠W = 20

20 + 20 + ∠X = 180

                ∠X = 180 - 40

                ∠x = 140

In ΔPQR

∠P + 20 + 80 = 180  {Angle sum property of triangle}

∠P + 100 = 180

       ∠P =  180 - 100

      ∠P = 80

In ΔSTV is an isosceles triangle.

∠S ≅ ∠T = 80°

∠V + 80 + 80 = 180

∠V + 160       = 180

            ∠V = 180 - 160

            ∠V = 20°

In ΔPRQ & ΔSTV

∠P ≅ ∠S = 80°

∠R ≅ ∠T = 80°

∠Q ≅ ∠v = 20°

ΔPRQ  ` ΔSTV  are similar by AAA congruent

Answer:

a. 10√2

Step-by-step explanation:

hey, just use Pythagoras theorem

h²=p²+b²=10²+10²=100+100=200

h²=200, h= √200 =√(100×2)=√100×√2=10√2

Answer:

2.75 hours, or 2 hours and 45 minutes

Step-by-step explanation:

Subtract the cost of materials from the bill, 134-46=88.

Then, for every hour, he charges 32, so divide the difference by 32, 88/32.

To answer this question we will set and solve a system of equations.

Let A be the speed (in miles per hour) of the airplane in still air, and W be the wind speed (in miles per hour).

Since the airplane flying with the wind takes 4 hours to travel a distance of 1200 miles and flying against the wind takes 5 hours to travel the same distance, then we can set the following equation:

Dividing the first equation by 4 we get:

Subtracting A from the above equation we get:

Substituting the above equation in the second one we get:

Simplifying the above result we get:

Adding 1500 to the above equation we get:

Dividing the above equation by 10 we get:

Finally, substituting A=270 at W=300-A we get:

Answer:

The speed of the airplane in still air is 270 miles per hour.

The wind speed is 30 miles per hour.

The given function e(t) can be represented as: e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

To show this representation, we can start by considering the Laplace transform of e(t). The Laplace transform of a function f(t) is defined as:

F(s) = ∫[0, ∞] e^(-st) f(t) dt

In this case, we have e(t) = 1 for t ≥ 0 and e(t) = 0 for t < 0. Let's split the Laplace transform integral into two parts:

F(s) = ∫[0, ∞] e^(-st) f(t) dt + ∫[-∞, 0] e^(-st) f(t) dt

For the first integral, since f(t) = 1 for t ≥ 0, we have:

∫[0, ∞] e^(-st) f(t) dt = ∫[0, ∞] e^(-st) dt

Evaluating the integral, we get:

∫[0, ∞] e^(-st) dt = [-1/s * e^(-st)] from 0 to ∞

                  = [-1/s * e^(-s∞)] - [-1/s * e^(-s0)]

                  = [-1/s * 0] - [-1/s * 1]

                  = 1/s

For the second integral, since f(t) = 0 for t < 0, we have:

∫[-∞, 0] e^(-st) f(t) dt = ∫[-∞, 0] e^(-st) * 0 dt

                         = 0

Combining the results, we have:

F(s) = 1/s + 0

    = 1/s

Now, let's consider the inverse Laplace transform of F(s) = 1/s. The inverse Laplace transform of 1/s is given by the formula:

f(t) = L^(-1){F(s)}

In this case, the inverse Laplace transform of 1/s is:

f(t) = L^(-1){1/s}

    = 1

Therefore, we have shown that the function e(t) can be represented as:

e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

which is equivalent to:

e(t) = 1, for t ≥ 0

e(t) = 0, for t < 0

This representation is consistent with the given function e(t) = {1, t≥ 0 and e(t) = 0, t < 0.

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The given function e(t) can be represented as: e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

To show this representation, we can start by considering the Laplace transform of e(t). The Laplace transform of a function f(t) is defined as:

F(s) = ∫[0, ∞] e^(-st) f(t) dt

In this case, we have e(t) = 1 for t ≥ 0 and e(t) = 0 for t < 0. Let's split the Laplace transform integral into two parts:

F(s) = ∫[0, ∞] e^(-st) f(t) dt + ∫[-∞, 0] e^(-st) f(t) dt

For the first integral, since f(t) = 1 for t ≥ 0, we have:

∫[0, ∞] e^(-st) f(t) dt = ∫[0, ∞] e^(-st) dt

Evaluating the integral, we get:

∫[0, ∞] e^(-st) dt = [-1/s * e^(-st)] from 0 to ∞

                 = [-1/s * e^(-s∞)] - [-1/s * e^(-s0)]

                 = [-1/s * 0] - [-1/s * 1]

                 = 1/s

For the second integral, since f(t) = 0 for t < 0, we have:

∫[-∞, 0] e^(-st) f(t) dt = ∫[-∞, 0] e^(-st) * 0 dt

                        = 0

Combining the results, we have:

F(s) = 1/s + 0

   = 1/s

Now, let's consider the inverse Laplace transform of F(s) = 1/s. The inverse Laplace transform of 1/s is given by the formula:

f(t) = L^(-1){F(s)}

In this case, the inverse Laplace transform of 1/s is:

f(t) = L^(-1){1/s}

   = 1

Therefore, we have shown that the function e(t) can be represented as:

e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

which is equivalent to:

e(t) = 1, for t ≥ 0

e(t) = 0, for t < 0

This representation is consistent with the given function e(t) = {1, t≥ 0 and e(t) = 0, t < 0.

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Answer:

P=61°

Step-by-step explanation:

P²=C²+ U²–2 C U cos P

189²= 215²+123²– 2×215×123×cos p

P= 61°

I hope I helped you^_^

Answer: What is the question

Step-by-step explanation:

5.1²

5.1 * 5.1

26.01

The dimensions of the box that minimize the amount of material used are a square base with side length 4√2 cm and a height of 2√2 cm..

To minimize the amount of material used, we need to minimize the surface area of the box.
Let's call the height of the box "h" and the length of each side of the square base "x".
The volume of the box is given by V = x^2 * h = 32 cm^3.
We want to minimize the surface area, which consists of the area of the base (x^2) and the four sides (4xh). So the surface area is given by:
A = x^2 + 4xh
We can solve for h in terms of x using the volume equation:
h = 32 / x^2
Substituting this into the surface area equation, we get:
A = x^2 + 4x(32/x^2)
Simplifying this equation, we get:
A = x^2 + 128/x
To minimize the surface area, we need to find the value of x that makes the derivative of A with respect to x equal to zero:
dA/dx = 2x - 128/x^2 = 0
Solving for x, we get:
x = 4√2 cm
Substituting this value back into the equation for h, we get:
h = 2√2 cm
So the dimensions of the box that minimize the amount of material used are a square base with side length 4√2 cm and a height of 2√2 cm.

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Answer:

A is the answer

Step-by-step explanation:

All you have to do is follow the order pair such as 2, 100 and see if that is a correct pair.

Hope that helps

Answer: A. (2, 100)

Step-by-step explanation:

The value of x that best match y = 12 is 4. Therefore, the answer is B. 4.

A scatter plot is a set of points plotted on a horizontal and vertical axis. In other words, a scatterplot is a type of data display that shows the relationship between two numerical variables.

Therefore, the scattered plot shows the relationship between the variable x and variable y as follows:

Let's trace the value of x that best fit the value of y = 12.

Hence, the value of x that fit y = 12 is 4.

Therefore, the answer is B.

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Answer:

642

Step-by-step explanation:

area equals LxW

divide 24396/38

answer 642

642x38= 24396

Answer:

This is a false statement. The distance formula could never yield a negative number as distance cannot be negative.

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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Answer:

Biased

Step-by-step explanation:

Asking people about their opinions on the park while in the park would give biased results. To get unbiased results, Kyle would have to ask people outside the park their opinions.

The property used to rewrite the expression is the Product Property.

The given expression is log4(7) + log4(2) = log4(14). In this expression, we are trying to identify which logarithmic property has been used. The Product Property of logarithms states that logb(x) + logb(y) = logb(xy), where b is the base, and x and y are the values being logged. Comparing this property with our given expression, we see that the base (b) is 4, x is 7, and y is 2. So, log4(7) + log4(2) = log4(7 * 2) = log4(14). As we can see, the expression follows the Product Property of logarithms, and therefore, that is the property used to rewrite the given expression.

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The Kanizsa triangle illusion helps us understand that our perceptual experiences are not simply the sum of the individual sensory inputs, but rather the result of a complex and variable process of perceptual organization.

Gestalt is a German word meaning "shape" or "form," and in psychology, it refers to a set of principles that describe how people perceive and organize sensory information into meaningful wholes. These principles propose that the whole is greater than the sum of its parts, and that we tend to organize our perceptual experiences into coherent, holistic forms rather than isolated, unrelated sensations.

Experimental examples such as the Necker cube, visual cliff, and others help demonstrate principles of perceptual organization by highlighting how our minds naturally try to impose structure and order on sensory input. For example, the Necker cube is a two-dimensional drawing that can be perceived as a cube that can be viewed from different angles. However, as one stares at the image, it appears to flip back and forth between different possible interpretations. This phenomenon illustrates the Gestalt principle of figure-ground, which describes how we tend to perceive objects as being distinct from their surrounding context.

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Answer:

32 its negatived but u have more so its positive {{32

Step-by-step explanation:

Answer:

z= 118/17 or 6.94

Step-by-step explanation:

i hope this is the right answer but try using Symbolab its what I use all the time

Answer:

Step-by-step explanation:

Since adding a negative to a positive is inverse subtracting, use this as an advantage and act as if you're subtracting to get the result, or output value, -9.

Hope this helps! :)

Answer:

\( \sf \: x = - 11\)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 2 + x = -9

Then the value of x will be,

→ 2 + x = -9

→ x + 2 = -9

→ x = -9 - 2

→ [ x = -11 ]

Hence, the value of x is -11.

Answer:

z=1.20

Step-by-step explanation:

Just Took Test

The slope of a line is -2.

The slope of a line can be described as follows:

The slope of a line is a measure of its steepness

Slope = rise / run

slope = y₂ - y₁ / x₂ - x₁

using (0, -4)(-1, -2)

x₁ = 0

x₂ = -1

y₁ = -4

y₂ = -2

Therefore,

slope = -2 - (-4) / -1 - 0

slope = -2 + 4 / -1

slope = 2 / -1

slope = -2

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If the absolute value of the correlation is very close to 0, the error in prediction will be high.

This is because a correlation close to 0 indicates that there is no strong relationship between the variables, and therefore it is difficult to accurately predict one variable based on the other. A correlation value of zero or almost zero indicates that there is no significant link between the variables. A perfect correlation, or coefficient of -1.0 or +1.0, means that changes in one variable exactly anticipate changes in the other. A value of 1 indicates a direct and flawlessly positive link.

No linear relationship exists when the correlation coefficient is 0.

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If the absolute value of the correlation is very close to 0, the error in prediction will be high. The correct answer is D.

When the absolute value of the correlation coefficient is very close to 0, it indicates a weak or negligible linear relationship between the variables being studied. In this case, the variables have little or no linear association.

A low correlation means that there is no strong linear pattern or trend in the data. As a result, it becomes difficult to make accurate predictions or estimates based on the relationship between the variables. The lack of a strong relationship means that the variability in one variable does not provide meaningful information about the variability in the other variable.

Therefore, when the absolute value of the correlation is close to 0, the error in prediction tends to be high. This means that the predicted values based on the weak correlation are likely to deviate significantly from the actual values.

The lack of a strong relationship makes it challenging to accurately estimate or predict one variable based on the other variable.  The correct answer is D.

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Answer:

1.370025503 ×10^27

Step-by-step explanation: