kevin has four red marbles and eight blue marbles. he arranges these twelve marbles randomly, in a ring. determine the probability that no two red marbles are adjacent.

Answer:

X ≤ 2

Step-by-step explanation:

x/(3 - 2) ≤ 2

3-2 = 1

x/1 ≤ 2

X ≤ 2

Answer:

the answer is ​

x=±3,±√​2

​

​​ ı

Step-by-step explanation:

(x​^2−9)(x​2+2)=0

As per question,

Let the sides be:

a = first side

b = second side

c = third side

As one side is seven inches more than first side,

b = 7 + a

As the third side is four inches less than three times the fiest, so,

c = 3a - 4

As perimeter is 28 inches,

a + b + c = 28

Now solving for sides,

\(a = a \\ = > b = 7 + a \\ = > c = 3a - 4\)

So,

\(a + b + c = 28 \\ = > a + (7 + a) + (3a - 4) = 28 \\ = > a + 7 + a + 3a - 4 = 28 \\ = > a + a + 3a + 7 - 4 = 28 \\ = > 5a + 3 = 28\)

Now subtract,

5a = 25

=> a = 25÷5

=> a = 5

Now as we got value o lengrh of first side, substitute it to the remaining sides.

=> b = 7 + a

=> b = 7 + 5

=> b = 12

And finally,

c = 3a - 4

=> c = 3×5 - 4

=> c = 15 - 4

=> c = 11

Therefore, the three sides are 5 inches, 12 inches and 11 inches

The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

To know more about calculated , visit ;

https://brainly.in/question/2221194

#SPJ11

Answer:

Point slope form

\(y=mx+b\)

Answer:

Kaksjnzhxjz zn, nxnjxbjzznbz zn z xnxjz zbjz xj x, j xn, nxmj, xjbznznxjx nzjzjz dbz dnz xbxxjz

Answer:

63 miles/1.4 hours = 45 mph

(55 mph)(4 hours) = 220 miles

Answer:

0 = 0.2  1 = 0.3, 2 = 0.4, 3 = 0.1

Step-by-step explanation:

Khan Academy told me

Answer:

- Hello Risap!

\( \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}\)

\( \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}\)

\( \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}\)

\( \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}\)

\( \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}\)

\( \large{ \tt{⟶ \: 88 \: MP = 176000}}\)

\( \large{ \tt{⟶ \: MP= \frac{176000}{88} }}\)

\( \large{ \tt{⟶ \: MP = Rs \: 2000}}\)

\( \large{ \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \red{ \tt{MP = Rs \: 2000}}}}}}}\)

Answer:

4x+3Y=-6  D

Step-by-step explanation:

took the test

Answer:

1x bc it’s value of x

Step-by-step explanation:

Answer: x = 15

Step-by-step explanation:

75/15=5 or 5x15=75

We can determine the height of a triangle when we know the base and area of the triangle using the area formula of triangle in base and height, that is

A = 1/2 × b × h

A triangle is a three sided polygon. The height of the triangle is the perpendicular distance of the not-included vertex to the considered base.

The formula to determine area of a triangle of base b and height h is

A = 1/2 × b × h

Therefore to determine the height of a triangle when base and area is given, we substitute the given values in appropriate units in the formula.

h = 2×A/ b

To know more on triangle

https://brainly.com/question/27058370

#SPJ4

Two triangles are congruent if they have:

exactly the same three sides and.

exactly the same three angles.

Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.

If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS). Another shortcut is side-angle-side (SAS), where two pairs of sides and the angle between them are known to be congruent.

Congruent triangles have the same corresponding angle measures and side lengths. The triangle congruence criteria are: SSS (Side-Side-Side) SAS (Side-Angle-Side)

To learn more about triangles  visit:https://brainly.com/question/2773823

#SPJ4

A measure computed from the entire population is called​ parameter.

A limit is a parameter. A parameter is a constant in an equation in mathematics, however today, any system can include parameters that control how it functions. You can provide guidelines for your class discussion.

Greek words para-, which means "beside," and metron, which means "measure," are combined to form the term parameter. Gravity and time are two boundaries that the natural world establishes. The law establishes the boundaries of appropriate conduct in court. While parameters and perimeters are similar, a parameter can contain or define something that is either physically present or abstractly defined, whereas a perimeter is the physical space that surrounds an entity.

know more about equation here

https://brainly.com/question/29657992#

#SPJ4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(p = 2 \times (( - 3x - 5) + (3 - 4x)) \\ \)

Collect like terms

\(p = 2 \times ( - 7x - 2)\)

\(p = - 14x - 4\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(p = 66\)

Thus ;

\( - 14x - 4 = 66\)

Add sides 4

\( - 14x - 4 + 4 = 66 + 4\)

\( - 14x = 70\)

Divide sides by -14

\( \frac{ - 14x}{ - 14} = \frac{70}{ - 14} \\ \)

\(x = - \frac{7 \times 10}{7 \times 2} \\ \)

\(x = - \frac{5 \times 2}{2} \\ \)

\(x = - 5\)

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

\(\sum_{k=0}^{n}2k+1\)

Step-by-step explanation:

Let's take a look at how much is added from one term to the next and see if we can recognize a pattern!

If we start by listing the first number in sequence, 1, we get the familiar list:

1, 3, 5, 7, 9, 11

Of course, this is simply the list of the first six odd numbers. To get the first term, we add the first 1 odd number, to get the second, we add first 2 (1 +3), to get the third, we add the first 3 (1 + 3 + 5), and so on. How do we shorten these sums so we're not writing out dozens of terms as the sequence goes on?

For situations where we're adding up a lot of numbers that follow a predictable pattern, mathematicians came up with something called summation notation, or sigma notation, coming from the Greek S, Σ, short for "sum". Here's a simple example of a sum expressed in sigma notation:

\(\sum_{n=1}^{4}n=1+2+3+4\)

Let's break this down. n acts as our counter. \(\sum_{n=1}\) sets it to start counting at 1, and tells us to stop counting at n = 4. The \(\sum n\) bit tells us what pattern we'll be following, in this case, each step of the way we'll be adding the value of the counter.

So how do we express the sum 1 + 3 + 5 + ... in sigma notation? First, we need an expression that describes the pattern algebraically. Ever odd number is 1 away from an even number, so we can either describe our list with the expression \(2k+1\) (if we start at k = 0), or \(2k-1\) (if we start at k = 1). I'll choose \(2k+1\) for this problem.

We want to start counting at k = 0 , and we can choose whatever we want for our stopping point. Let's call that stopping point n, for the nth term in the series. In sigma notation, we can now write this series in the form

\(\sum_{k=0}^{n}2k+1\)

Let's test it out for the first few values to see if it works!

Checks out!

To write the series in summation notation, we have to identify a pattern. After we identify the pattern, we get that the notation is:

\(S = \sum_{n = 1}^{\infty} n^2\)

Terms:

From this, we can get a pattern that each term is the square of the index, and the notation is:

\(S = \sum_{n = 1}^{\infty} n^2\)

A similar question is found at: https://brainly.com/question/16543477

A compound inequality that show these GDP rates is: C. 7.1 ≤ g ≤ 7.9.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Let the variable g represent the gross domestic product (GDP) growth rate. Since economists recommend that the gross domestic product (GDP) growth rate should be between 7.1 and 7.9 percent inclusively, a compound inequality to represent this situation is given by;

7.1 ≤ g ≤ 7.9

In conclusion, a graph of this compound inequality is shown in the image attached below.

Read more on compound inequality here: brainly.com/question/17665886

#SPJ1

Complete Question:

Economists recommend that the GDP (gross domestic product) growth rate of a nation be between 7.1 and 7.9 percent inclusively. Identify the compound inequality and graph that show these GDP rates.

7.1 < g <7.9

7.1 ≤ g <7.9

7.1 ≤ g ≤ 7.9

7.1 < g ≤ 7.9

The expected gain for the player from Americal Roulette is $5.18 after rounding off to the nearest cent.

Therefore the possibilities are-

The probability that the ball lands on a particular color

= no. of places of color/ total no. of places.

Let A be the event that the ball lands on red.

Let B be the event that the ball lands on black.

Let C be the event that the ball lands on green.

P(A) = 18/38

P(B) = 18/38

P(C) = 2/38

Here, an $8 bet is placed on red, and a $5 bet on black.

If the ball lands on red then the gain will be

$16 - $5

= $11

If the ball lands on black then the gain will be

$10 - $8

= $2

If the ball lands on green, the gain will be

= -$8 - $5

= - $13

Let the expected gain be E

E = sum of the products of gain and the probabilities

= gain on red X P(A) + gain on black X P(B) + gain on green X P(C)

= 11 X 18/38 + 2 X 18/38 - 13 X 2/38

= 198/38 + 36/38 - 26/38

= 197/38

= $5.1842

Rounding this off to the nearest cent gives us

= $5.18 (since the next digit is less than 5)

To learn more about Expectations visit

https://brainly.com/question/17164882

#SPJ4

Answer:

12

Step-by-step explanation:

tysm ily

(-4)(-3)

= 12

Easy lol

Answer:

  1 = 1; 2 = 3 -1; 3 = 3; 4 = 3 +1; 5 = 9 -3 -1;

  6 = 9 -3; 7 = 9 -3 +1; 8 = 9 -1; 9 = 9; 10 = 9 +1

  11 = 9 +3 -1; 12 = 9 +3; 13 = 9 +3 +1

Step-by-step explanation:

You want the numbers 1 – 13 expressed in terms of the digits 1, 3, 9 using operations +, -, and ×.

The digits 1, 3, 9 represent the place values of numbers in base 3. This means we can use the base-3 representation of a number to give a clue as to how to represent it using these digits.

The digits of a base 3 number are 0, 1, 2. We don't have a 2 to work with, but we know that 2 = 3 -1, so we can use that fact. Here is an example:

  5 = 12₃ = 1×3 + (3 -1)×1 = 3 +3 -1

  = 20₃ -1 = (3 -1)×3 -1 = 9 -3 -1

After writing a few numbers, we notice the signs go in the progression +, -, 0 where 0 means the digit is not included. The attachment shows the sums that make the numbers 1–13.

__

Additional comment

We could, of course, use the allowed "other digits" to include 2. For example, ...

  5 = 3 + 2×1

  6 = 2×3

<95141404393>

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

Learn more about volume of cone here: brainly.com/question/16419032

#SPJ11

Step-by-step explanation:

first, for such questions, we sound always sorry the list of data points :

9, 10, 12, 15, 17

the mean is the sum of all data points divided by the number of data points. we have 5 data points.

mean = (9+10+12+15+17)/5 = 63/5 = 12.6

median is the data point for which half of the other data points are smaller, and the other half of other data points are larger.

so, for our 5 days points,

median = 12

the middle element in our sorted list.

mode simple defines the data value that appears the most frequently in the list.

in our case all values appear exactly once.

some people say then that the mode is all numbers in the list.

but most commonly we say that this list has no mode.

Answer:

To find out how much the TV is worth now, we need to apply the depreciation rate of 9% to the original price for 8 months:

First, let's calculate the value after the first month:

Value after 1 month = $2740 - (9% of $2740) = $2501.40

Now, let's calculate the value after 2 months:

Value after 2 months = $2501.40 - (9% of $2501.40) = $2275.80

We can continue this process for 8 months to find the current value:

Value after 3 months = $2071.67

Value after 4 months = $1888.81

Value after 5 months = $1725.10

Value after 6 months = $1579.92

Value after 7 months = $1452.16

Value after 8 months = $1339.53

Therefore, the TV is worth $1,339.53 now.

To analyze the given data set and perform calculations both by hand and with Python, we can follow these general steps: By following these steps, you can manually analyze and interpret the data set. Alternatively, you can utilize various Python libraries such as Pandas, NumPy, and scikit-learn to streamline the process and perform calculations and visualizations efficiently.

These libraries provide functions and methods to handle data manipulation, descriptive statistics, data visualization, correlation analysis, and regression modeling, making it easier to analyze the data set programmatically.

1. Data Exploration: Start by examining the data set to understand its structure, variables, and any patterns or trends that may be present.

2. Data Preprocessing: Clean the data by handling missing values, outliers, or any other data quality issues. Normalize or standardize the numerical variables if necessary.

3. Descriptive Statistics: Calculate basic descriptive statistics such as mean, median, standard deviation, and range for each numerical variable. This can provide insights into the central tendency and spread of the data.

4. Data Visualization: Create visualizations such as histograms, scatter plots, or box plots to gain a better understanding of the relationships between variables and identify potential correlations or patterns.

5. Correlation Analysis: Calculate the correlation coefficients (e.g., Pearson's correlation) between the input variables \( X_1 \) and \( X_2 \) and the output variable \( Y \). This can help assess the strength and direction of the relationships.

6. Regression Analysis: Perform regression analysis, such as linear regression, to model the relationship between the input variables and the output variable. Fit the regression model and evaluate its goodness of fit using metrics like R-squared or mean squared error.

Learn more about Python here: brainly.com/question/33689913

#SPJ11

We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

To learn more about standard error, refer:

https://brainly.com/question/17153441

#SPJ4

The sum of the radii of the two circles C₁ and C₂ is 4 units

Given data

Two circles C₁ and C₂ have their centres at the point (3,4)

The centre of C3 is at the point (0,0) and its radius is 2

And C1 and C2 is touching C3

Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r

The distance, d from the origin using point x and y given is solved for as follows:

d^2 = x^2 + y^2

d^2 = 3^2 + 4^2

d^2 = 9 + 16

d^2 = 25

d = √25

d = 5

Radius if the two circles is 5 - 3 = 2

One of the radius is 2 hence sum of the two radii

= 2 + 2

= 4 units

Read more on circles here: https://brainly.com/question/26594685

#SPJ1

Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

The image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].

To find the image of an arbitrary vector [xy] under the linear transformation T, we can use the linearity property of T.

Since T is a linear transformation, we have:

\(T([xy]) = T(xv_1 + yv_2)\)

Using the linearity property, we can expand this expression:

\(T([xy]) = xT(v_1) + yT(v_2)\)

Substituting the given values of \(T(v_1)\) and \(T(v_2)\), we get:

T([xy]) = x[-11-9] + y[56]

T([xy]) = [-11x - 9x + 56y]

Therefore, the image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].

To know more about linear transformation visit;

https://brainly.com/question/13595405

#SPJ4