There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?

Answer:

an experiment can be a test. for example if I think that if I mix red and blue paint together it will make purple (a hypothesis) I can test it by actually mixing the colors together

Answer:

Step-by-step explanation:

Answer:

 y = 2x-5

Step-by-step explanation:

Lets look for an equation in the standard form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A reference line is given:  y=2x+3.  It has a slope of 2.  Parallel lines have the same slope, so the line we are looking for will also have a slope of 3.  We can therefore wrtite what we know sio far.  The new line will be:

                 y = 2x+b

Any vale of b will produce a line that is parallel to the referenc elien.  But we need a line that goes through a given point of (3,1).  By choosingf the correct value of b, we can force the line therough this point.  The easiest way to find b is to use the known point in the equiation we have thuis far, and solve for b:

y = 2x+b

1 = 2*(3)+b  for (3,1)

b = -5

The equation of a line parallel to y=2x+3 and going through point (3,1) is:

   y = 2x-5

See attached graph.

Answer:

x equals 10

Step-by-step explanation:

so so you if the perimeter is 60 and when you measure perimeter you add up all these sides so you would add 2t + t + 3t = 60 then you would divide by 6 and get 10.

Answer: 8

Step-by-step explanation: Multiplication comes first before subtraction in PEMDAS so in the middle brackets its 4. So now we have [6+4 divided by 2] which equals 8.

Answer:

r=3 to dilation

Step-by-step explanation:

([[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]]]]]]]]]]]]]]]]]]]])

If X is an eigenvalue of matrix A, then the expression X²-3X+2 is an eigenvalue of the matrix A²-3A+21.

To prove this statement, let's assume that X is an eigenvalue of matrix A. By definition, this means there exists a non-zero vector v such that Av = Xv.

Now, consider the matrix A²-3A+21. We want to find an eigenvalue of this matrix. Let's denote it as Y. In order to find Y, we need to find a non-zero vector u such that (A²-3A+21)u = Yu.

Expanding the expression (A²-3A+21)u, we have (A²u - 3Au + 21u). Now, let's substitute Av with Xv in this expression. We get (A²u - 3Xu + 21u).

Since we know that Av = Xv, we can rewrite the expression as (X²v - 3Xv + 21v). Notice that this expression is similar to Y, which is the eigenvalue of A²-3A+21. Therefore, we can equate the two expressions:

X²v - 3Xv + 21v = Yu

Simplifying this equation, we have X² - 3X + 21 = Y.

Hence, we have shown that if X is an eigenvalue of matrix A, then X²-3X+21 is an eigenvalue of A²-3A+21.

To learn more about matrix click here: brainly.com/question/29132693

#SPJ11

Answer:

∠ EFH = 112°

Step-by-step explanation:

∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus

11x - 20 = 9x + 4 ( subtract 9x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Thus

∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°

For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

Learn more about streaks:

https://brainly.com/question/3879734

#SPJ4

Answer: -&*

Step-by-step explanation:

12% × 34 = 4.08

34% × 12 = 4.08

Sam is the one who's correct

The question can be solved by solving a system of equation

Let the adult ticket be represented by a

Let the children ticket be represented by c

So from the first statement, we will have 155a + 230c = 1285.5 ----- equation 1

Also from the second statement, we have 2a + 3c = 53.75 ------ equation 2

We can solve two equation simultaneously using the elimination method

155a + 230c = 1285.5 x 2 (multiply equation 1 by 2)

2a + 3c = 53.75 x 155 (umultiply equation 2 by 155)

=> 310a + 460c = 2571 ---- equation 3

=> 310a + 465c = 8331.25 ---- equation 4

Subtract equation 3 from equation 4

465c - 460c = 8331.25 - 2571

5c = 5760.25

Transformation is a process that involves either increasing, or decreasing the size of a given object, or changing its orientation to produce an image.

The required transformations are:

i. For graph a - translation.

ii. For graph b - dilation.

Rigid transformation involves a change in the orientation of a given object or resizing of a given object to produce an image. The types of transformation are reflection, translation, rotation, and dilation.

i. Reflection is a type of transformation that requires flipping a given object about a reference point or line.

ii. Translation is a type of transformation that involves moving an object in a particular direction without a change in its size and orientation.

iii. Rotation is a type of transformation that involves turning an object at a given angle about a reference point.

iv. Dilation is a type of transformation that require increasing or decreasing the size of the object using a given factor.

Therefore the necessary transformation to transform the blue graph of f(x) into the red graph of g(x) is:

a. For graph a is translation.

b. For graph b is dilaton.

For more clarifications on transformation and types, visit: https://brainly.com/question/18030247

#SPJ1

The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

for such more questions on  proportion

https://brainly.com/question/1496357

#SPJ8

Answer:

A.) will be the correct answer to your problem

The number line which represents the solution set for the given inequality  -1/2 x ≥ 4 is the second graph which tends to left from -8.

A number line is a straight line drawn horizontally where the numbers are placed at an equal intervals.

Normally integers are placed on the number line.

Given inequality is,

-1/2 x ≥ 4

We have to find the solution first to find the graph.

Multiplying both sides by 2,

-x ≥ 8

Multiplying both sides by -1, inequality sign also changes.

x ≤ -8

So the graph will be something where the line tends to left from x = -8.

Hence the correct option is B.

To learn more about Inequalities on Number Line, click on the link given here :

https://brainly.com/question/29774080

#SPJ7

Product ab has a value of 18 and is shaped like a regular hexagon.

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane.

Here,

Let the side of the hexagon be 2.

so the radius of the circle is sqrt(3),

area of hexagon=sqrt(3) * 2 * 3

= 6 sqrt(3)

area of circle is pi (sqrt(3))^2 = 3 pi

3 pi / 6 sqrt(3) = sqrt(3)/ 6

3 * 6 = 18

The value of product ab is 18 which is in the shape of a regular hexagon.

To know more about area,

https://brainly.com/question/13194650

#SPJ4

Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.

Step-by-step explanation:

The diameter of a circle is double its radius.

Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.

Next, convert this to meters:

\(24 * \frac{0.305}{1} = 7.32\)

The diameter of pool A is 7.32 meters.

The diameter of pool B is 7.5 meters.

The diameter of pool B is greater.

You can calculate the circumference of a circle by using this formula:

\(C = 2\pi r\), where r is the radius.

Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:

\(C = 7.5\pi \\\\C = 23.561\)

Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.

Do the same thing for pool A:

\(C = 7.32\pi \\\\C = 22.996\)

Circumference for pool A rounds to 23 meters.

Answer:

the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest

COMPLETE QUESTION:

Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.

(Graph Below)

Which statement about the scatterplot is true?

A. The point (17, 12) could cause the description of the data set to be overstated.

B. The point (17, 12) could cause the description of the data set to be understated.

C. The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.

D. Although (17, 12) is an extreme value, it should be part of the description of the relationship between number of hours of darkness and the height of the plant.

Answer:

B. The point (17, 12) could cause the description of the data set to be understated.

Step-by-step explanation:

All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.

Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."

The statement (B) the point (17, 12) could cause the description of the data set to be understated is correct.

Scatter plots are graphs that represent individual points of data and are labelled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

We have the scatter plot shown in the picture.

As we can see in the scatter plot, there is a point (17, 12) which is not follow the trend like other points follows.

We can say about the data set, we might likely understate the relation between both variables.

Thus, the statement (B) the point (17, 12) could cause the description of the data set to be understated is correct.

Learn more about the scatter plot here:

brainly.com/question/13984412

#SPJ5

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population. If for some reasons, the sample does not represent the population, the variation is called a sampling error.

Researchers often start with a simple random sample. This allows them to statistically measure a subset of individuals selected from a larger group or population to approximate a response from the entire group.

1. Lack of Bias :

The use of simple random sampling removes all hints of bias—or at least it should. Because individuals who make up the subset of the larger group are chosen at random, each individual in the large population set has the same probability of being selected. In most cases, this creates a balanced subset that carries the greatest potential for representing the larger group as a whole.

Here's a simple way to show how a researcher can remove bias when conducting simple random sampling. Let's say there are 100 bingo balls in a bowl, from which the researcher must choose 10. In order to remove any bias, the individual must close their eyes or look away when choosing the balls.

2. Simplicity : -

As its name implies, producing a simple random sample is much less complicated than other methods. There are no special skills involved in using this method, which can result in a fairly reliable outcome. This is in contrast to other sampling methods like stratified random sampling. This method involves dividing larger groups into smaller subgroups that are called strata. Members are divided up into these groups based on any attributes they share. As mentioned, individuals in the subset are selected randomly and there are no additional steps.

3. Less Knowledge Required : -

We've already established that simple random sampling is a very simple sampling method to execute. But there's also another, similar benefit: It requires little to no special knowledge. This means that the individual conducting the research doesn't need to have any information or knowledge about the larger population in order to effectively do their job. Be sure that the sample subset from the larger group is inclusive enough. A sample that doesn't adequately reflect the population as a whole will result in a skewed result.

1.  Difficulty Accessing Lists of the Full Population : -

An accurate statistical measure of a large population can only be obtained in simple random sampling when a full list of the entire population to be studied is available. Think of a list of students at a university or a group of employees at a specific company. The problem lies in the accessibility of these lists. As such, getting access to the whole list can present challenges. Some universities or colleges may not want to provide a complete list of students or faculty for research. Similarly, specific companies may not be willing or able to hand over information about employee groups due to privacy policies.

2. Time Consuming : -

When a full list of a larger population is not available, individuals attempting to conduct simple random sampling must gather information from other sources. If publicly available, smaller subset lists can be used to recreate a full list of a larger population, but this strategy takes time to complete.

Organizations that keep data on students, employees, and individual consumers often impose lengthy retrieval processes that can stall a researcher's ability to obtain the most accurate information on the entire population set.

3. Costs :

In addition to the time it takes to gather information from various sources, the process may cost a company or individual a substantial amount of capital. Retrieving a full list of a population or smaller subset lists from a third-party data provider may require payment each time data is provided.

If the sample is not large enough to represent the views of the entire population during the first round of simple random sampling, purchasing additional lists or databases to avoid a sampling error can be prohibitive.

4. Sample Selection Bias : -

Although simple random sampling is intended to be an unbiased approach to surveying, sample selection bias can occur. When a sample set of the larger population is not inclusive enough, representation of the full population is skewed and requires additional sampling techniques.

Learn  more about Random Sampling:

https://brainly.com/question/12719645

#SPJ4

Answer:

-1/2

Step-by-step explanation:

The slope of a line is given by

m= (y2-y1)/(x2-x1)

   = (3-6)/( 4 - -2)

    = -3 / (4+2)

    = -3 /6

   = -1/2

Answer:

Step-by-step explanation:

A. m<1 + m<2 + m<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Answer: x=4

Step-by-step explanation:

Given

2(3x+4)-2x=24

Expand parenthesis

6x+8-2x=24

Combine like terms

4x+8=24

Subtract 8 on both sides

4x+8-8=24-8

4x=16

Divide 4 on both sides

4x/4=16/4

x=4

Hope this helps!! :)

Please let me know if you have any questions

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

Learn more about Median here:

https://brainly.com/question/21396105

#SPJ4

This is a logical statement, of the form

where p is the statement "the test is today" and q is the statement "the party is tonight". The DeMorgan's Law indicates that:

Therefore the equivalent statement is " the test is not today and the party is not tonight".

To evaluate the integral ∫7x/(1 − x^4) dx, we first need to perform partial fraction decomposition to separate it into simpler fractions. Using algebraic manipulation.

we can rewrite the integrand as: 7x/(1 − x^4) = A/(1 + x) + B/(1 − x) + C/(1 + x^2) + D/(1 − x^2), where A, B, C, and D are constants to be determined. Then, we can multiply both sides by the common denominator (1 − x^4) and solve for the constants by equating coefficients of like terms.

After performing partial fraction decomposition, we get: ∫7x/(1 − x^4) dx = ∫A/(1 + x) dx + ∫B/(1 − x) dx + ∫C/(1 + x^2) dx + ∫D/(1 − x^2) dx, Integrating each of these simpler fractions individually, we get: ∫A/(1 + x) dx = A ln|1 + x| + c1
∫B/(1 − x) dx = −B ln|1 − x| + c2
∫C/(1 + x^2) dx = C arctan(x) + c3
∫D/(1 − x^2) dx = D ln|(1 + x)/(1 − x)| + c4.

where c1, c2, c3, and c4 are constants of integration, Therefore, the final answer to the given integral is: ∫7x/(1 − x^4) dx = A ln|1 + x| − B ln|1 − x| + C arctan(x) + D ln|(1 + x)/(1 − x)| + C, where A, B, C, and D are the constants obtained from partial fraction decomposition, and C is the constant of integration.

To know more about term click here

brainly.com/question/19774850

#SPJ11

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

For more information about equation, visit:

https://brainly.com/question/22688504

#SPJ11

The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.

It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.

Learn more about Standard Deviation here:

https://brainly.com/question/475676

#SPJ4

The side AE and side CD are parallel to each other because they will never intersect to each other.

A polygon is a two-dimensional geometric figure having a finite number of sides. Straight-line segments are linked end to end to make a closed shape on the sides or edges of a polygon. The vertices or corners are the spots where two line segments intersect, resulting in an angle.

As we know, the parallel lines never intersect to each other, they go infinitely without crossing each other.

As we can see in the figure (refer to the attached picture)

Line AE and CD are parallel to each.

Thus, the side AE and side CD are parallel to each other because they will never intersect to each other.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ1