There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 greens?

Answer:

1) -1/3

2)6

Step-by-step explanation:

Jude's calculations are incorrect because the volumes of the square pyramid and the cylinder are not equal. The correct option is (4) No, he made a mistake in solving for the volume of both figures.

The volume of the square pyramid is given by V = (1/3)Bh, where B is the area of the base. For a square base with edges of length 12 inches, the area is B = 12^2 = 144 square inches.

Therefore, the volume of the pyramid is:

V = (1/3)(144)(10) = 480 cubic inches

On the other hand, the volume of a cylinder is given by V = πr^2h, where r is the radius and h is the height. For a cylinder with radius 6.77 inches and height 10 inches, the volume is:

V = π(6.77^2)(10) = 1440.81 cubic inches

Therefore, the volumes of the square pyramid and the cylinder are not equal.

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The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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Answer:

It costs $795

Step-by-step explanation:

$30 more than one half so you have to subtract 30 from 295 then that's 265 which is 1/3 of the acual price. So then you have to multiply 265 by 3 then you get $795.

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

135 is the maximum number of cubes that can be obtained

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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Answer:

\(s=\sqrt[3]{V}\)

Step-by-step explanation:

This is a problem in which we can utilize equation rules to solve for s. In order to isolate s, we need to remove that power of 3. To do that, we can take the cubed root of V. Thus, the answer is

\(s=\sqrt[3]{V}\)

Answer: A

Step-by-step explanation: I took the test

Answer:

Use the formula to find distance

The diameter of the circle is AB and option b is the correct answer.

The diameter of a circle is the distance along which the circumference begins at one end and terminates at the other. Its length is double that of the circle's radius. In other words, the line that splits a circle into two equal pieces and runs through its centre is the diameter of the circle. Every straight line segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter is also referred to as the circle's longest chord.

We know that, the diameter of the circle is the longest segment that passes through the center of the circle.

From the given figure we observe that, the segment AB passes through the center and connects with the circle on either side.

Hence, the diameter of the circle is AB and option b is the correct answer.

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Answer:

AB

Step-by-step explanation:

Answer:

20 grams is the same as option (a) 2000 mg.

Step-by-step explanation:

To convert grams to milligrams, you multiply the value in grams by 1000 because there are 1000 milligrams in one gram. Therefore, 20 grams is equal to 20 * 1000 = 2000 milligrams.

20 grams is equal to 20000 mg.

20 grams is equivalent to 20000 mg. To convert grams to milligrams, you need to multiply the number of grams by 1000 since there are 1000 milligrams in one gram. So, 20 grams multiplied by 1000 equals 20000 milligrams.

This question is regarding the conversion of grams (a metric unit of weight) to milligrams. 1 gram is equivalent to 1000 milligrams. Therefore, to convert 20 grams to milligrams, you would multiply 20 (the number of grams) by 1000 (the number of milligrams in 1 gram).

20 grams * 1000 = 20000 milligrams

So, 20 grams is the same as 20000 milligrams, which means the correct answer to your question is b. 20000 mg.

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Answer:

x=28

Step-by-step explanation:

x+24+100+x=180

x+124+x=180

2x+124=180

2x=180-124

2x=56

divide both side by number attached to the x

therefore x=28

Answer:

B

Step-by-step explanation:

Answer:

nothing

Step-by-step explanation:

The best thing I ever done was tp save my friend from Droning.  

Concurrent line segments are those that cross at least three other line segments at the same location.

Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.

Here,

Concurrent line segments are those where three or more line segments cross each other at the same location.

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The linear equality for the given graph is x > 0.

Option (B) is correct.

What is linear equality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.

So we can prepare the linear equality as

                       x > 0

Hence, the linear equality for the given graph is x > 0.

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Answer:

2×r=2r

2r×9=18r

Hope this helps:)

Answer:

9(2r)

Step-by-step explanation:

2×r =2r

9×2r can be written as 9(2r)

We could write this as 18r but it is best to leave it at 9(2r)

By using simple multiplication, Dominic sold 52 boxes of greeting cards during the fundraiser.

What is multiplication?

Multiplication is an arithmetic operation that combines two or more numbers to find their product or the total number of objects in equal-sized groups. In multiplication, the numbers being multiplied are called factors, and the result is called the product.

The equation that could be used to find the number of boxes n Dominic sold is:

7n = 364

Where n represents the number of boxes Dominic sold and 7 is the price of each box.

To solve for n, we can divide both sides of the equation by 7:

n = 52

Therefore, Dominic sold 52 boxes of greeting cards during the fundraiser.

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Answer: n x 7=364

Step-by-step explanation: 7n = 364

Good luck with the Go Math Comulative Assessment Chapters 7-10 Room 240 ;)

Answer:

\( m\angle SYX=76\degree \)

Step-by-step explanation:

\( m\angle SYX = m\angle UYV\)

(Vertical angles)

\( \because m\angle UYV=76\degree \)

\( \therefore m\angle SYX=76\degree \)

Limit as t approaches 0 for the function f(t) = t³ is 0.

A more detailed explanation of the answer.

Find out limit as t approaches 0 for the function f(t) = t²t.To find the limit as t approaches 0 for the given function

To find the limit as t approaches 0 for the function f(t) = t³, follow these steps:

1. Write down the function: f(t) = t³
2. Identify the point at which the limit is to be found: t approaches 0
3. Put the value of t (in this case, 0) into the function: f(0) = 0³
4. Calculate the result: 0³ = 0

So, the limit as t approaches 0 for the function f(t) = t³ is 0.

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Answer: -5

Step-by-step explanation:

When x = 8, y = -5.

We have proved that diagonal UE of kite CUTE is the perpendicular bisector, as it is perpendicular to diagonal CT at point X and divides CT into two equal segments.

To prove that diagonal UE of kite CUTE is the perpendicular bisector, we need to show that it is both perpendicular to diagonal CT and bisects it.

Perpendicularity: To show that UE is perpendicular to CT, we can prove that the opposite angles formed at their intersection point X are right angles. Let's denote the angles at X as angle TUX and angle CEX.

Bisecting: To prove that UE bisects CT, we need to show that it divides CT into two equal segments. Let's denote the length of CT as c, and we want to show that TU = UE = EC = c/2.

Proof:

Perpendicularity:

Angle TUX: Since CT and UE are diagonals of a kite, angle TUX is congruent to angle CEX by the properties of kites.

Angle CEX: Similarly, angle CEX is congruent to angle TUX.

Therefore, angle TUX and angle CEX are congruent, and they are both right angles.

Bisecting:

Triangle TUX: In triangle TUX, angle TUX is a right angle (proved in step 1).

Triangle CEX: In triangle CEX, angle CEX is a right angle (proved in step 1).

Since the triangles TUX and CEX both have a right angle and share side UX (as it is a diagonal of the kite), by the congruence of right triangles, we can conclude that TU = UE = EC.

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I find organized lists to be the easiest method to use to identify sample spaces for compound events. This is because organized lists are the most straightforward way to list all of the possible outcomes of an event.

Tables and tree diagrams can be helpful as well, but they can be more difficult to create and interpret.

The Fundamental Counting Principle states that if there are n ways to do one thing, and m ways to do another thing, then there are n × m ways to do both things. This principle can be used to help identify a sample space for a compound event by multiplying the number of ways each event can occur. For example, if you are rolling a die and flipping a coin, there are 6 ways to roll the die and 2 ways to flip the coin. Therefore, there are 6 × 2 = 12 possible outcomes of the compound event.

The Fundamental Counting Principle is a useful tool for identifying sample spaces, but it does have some limitations. One limitation is that it only applies to events that are independent. Independent events are events where the outcome of one event does not affect the outcome of the other event. For example, the outcome of drawing a card from a deck does affect the outcome of drawing another card from the deck. In this case, the Fundamental Counting Principle cannot be used to determine the sample space.

Another limitation of the Fundamental Counting Principle is that it does not take into account the probability of each outcome. The probability of an outcome is the likelihood that the outcome will occur. For example, the probability of rolling a 6 on a die is 1/6. The probability of flipping a coin and getting heads is 1/2. The probability of rolling a 6 and flipping a coin and getting heads is 1/6 × 1/2 = 1/12.

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Part a: Kinko's income is $280.

Part b: Kinko's optimal consumption will change due to the increased price of leather jackets, but the specific values cannot be determined without further calculations.

To find Kinko's income, we need to determine his budget line based on his current consumption and the price of whips. Kinko is consuming 4 whips and 16 leather jackets, and the price of whips is $6.

The budget line equation is given by: Px * x + Py * y = I, where Px is the price of whips, Py is the price of leather jackets, x is the consumption of whips, y is the consumption of leather jackets, and I is the income.

Since Kinko spends all his money on whips and leather jackets, his income equals the total expenditure on these goods. Thus, the budget line equation becomes: 6x + 16y = I.

We can substitute Kinko's consumption values into the equation: 6 * 4 + 16 * 16 = I.

Simplifying, we have: 24 + 256 = I.

Therefore, Kinko's income is $280.

To visualize this, we can plot Kinko's indifference curves and the budget line on a graph with whips (x) on the horizontal axis and leather jackets (y) on the vertical axis.

The budget line represents all the affordable combinations of whips and leather jackets given Kinko's income and the prices. The indifference curves represent Kinko's preferences, showing the combinations of whips and leather jackets that provide him with the same level of utility.

Part b:

If the price of leather jackets increases by 16 times, the new price of leather jackets becomes $16 * Py = $16 * 1 = $16.

To determine Kinko's optimal consumption, we need to find the new tangency point between an indifference curve and the new budget line. Since Kinko's utility function is non-standard, we need to use calculus to find the optimal consumption bundle.

Using the Lagrange multiplier method, we set up the following optimization problem:

Maximize U(x, y) = min{x½ + y½, x/4 + y}

Subject to the constraint: Px * x + Py * y = I, where Px = $6 and Py = $16.

By solving the optimization problem, we can find the new optimal consumption bundle in terms of whips (x) and leather jackets (y).

However, without the specific values for x and y, it is not possible to provide the exact optimal consumption bundle in one line.

The solution would involve finding the tangency point between the new budget line (with the increased price of leather jackets) and the indifference curves, and determining the corresponding values of x and y.

Therefore, without further information, we can only state that Kinko's optimal consumption will change due to the change in the price of leather jackets, but we cannot provide the specific values without additional calculations.

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Answer: slope = 3

Step-by-step explanation: 3x - y = 24

                                             3x - 3x -y = 24 -3x

                                             -y = -3x + 24

                                              -y/-1 = -3x + 24/1

                                               y = 3x - 24

Answer:

B- Second Quadrant

Step-by-step explanation:

First Quadrant- +,+

Second Quadrant- -,+

Thrid Quadrant- -,-

Fourth Quadrant- +,-

Hi there!  

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I believe your answer is:  

Quadrant 2

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Here’s why:  

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See the picture attached.

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Hope this helps you. I apologize if it’s incorrect.