a box contains 4 red balls, 4 blue balls and 4 white balls. i extract 6 balls at once. what are the number of arrangements of 6 balls with 2 red balls and 2 blue balls ?

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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Sylvan made a mistake computing the quotient in the problem.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: 1.6 divided by 0.4

We know 1.6 can be expressed as 1.6=0.4×4

x ÷ y = z.

1.6÷0.4=4

Division method is nothing but the inverse of multiplication.

Divide 1.6 by number 0.4.

Solution:1.6÷0.4=1.6/0.4 with remainder zero

                          =4

Thus the quotient should have been 4

But according to Sylvan 1.6/0.4=0.4 which is not correct.

Hence, Sylvan computed the wrong quotient.

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Answer:

8 Notebooks

Step-by-step explanation:

do 8.64 divided by 1.08 to get 8

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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At x = 1, the coordinates are (1, 4)

They represent the proportionality of 1 teaspoon of cumin and 4 teaspoons of chili powder.

The graph is proportional because as x increases, y al

In the passage above, a parallel is drawn between Karen's friend, Brody, and a shining beacon of light. The Option B.

A parallel sentence occurs when words are formed in the same way or have the same structure.

In the passage, Brody is compared to a shining beacon of light. This suggests that Brody is portrayed as someone who brings brightness and positivity into Karen's life just like a beacon of light guides and illuminates the way.

So, the comparison implies that Brody has a significant and uplifting impact on Karen's experiences or emotions.

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Answer:

Step-by-step explanation: the answer is 69-123

(a) The probability that Miranda will have two twin girls is 1/4. (b) The probability that the girls are identical twins is 1/3.

(a) The probability of having two twin girls is determined by the ratio of the different combinations of twin girls. There are four possible combinations: two girls, one girl and one boy, two boys, and one boy and one girl. Since there are two combinations of twin girls, the probability of having two twin girls is 1/4. (b) The probability that the girls are identical twins is determined by the ratio of identical twins to all twins. Since 1/3 of all twins are identical twins, the probability that the girls are identical twins is 1/3.

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The measure of arc BC is 40°.

Given that a rectangle ABCD is inscribed in a circle, the measure of arc AB is 140°,

We need to determine the measure of arc BC,

Since ABCD is a rectangle, angle DAB is a right angle (90°).

Also, the sides of the rectangle here are acting as the chords of the circle,

So, Chord AB = Chord DC

⇒ arc AB = arc DC = 140°

Also, according to the inscribed angle theorem,

The measure of the inscribed angle is half the measure of the central angle.

Therefore,

2 ∠DAB = arc BCD

arc BCD = 2 × 90°

arc BCD = 180°

arc BCD = arc BC + arc DC

180° = arc BC + 140°

arc BC = 40°

Hence the measure of arc BC is 40°.

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To discover the t-value for testing a person parameter at the 1% level, we ought to isolate the coefficient appraise by its standard deviation and compare it to the t-distribution with suitable degrees of flexibility.

For case, to test the parameter gauge for x1, we would calculate the t-value as: t = (-3.682) / 2.630 ≈ -1.4

At that point compare this t-value to the t-distribution with 485 degrees of flexibility (which compares to the leftover degrees of opportunity), and decide on the off chance that it surpasses the basic esteem at the 1% level (which is around 2.977).

In any case, the given yield does not demonstrate which parameter appraise is being tried, so we cannot decide the comparing t-value. Hence, none of the reply choices are rectified.

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A two-step equation is an equation which needs two steps to solve.

In this case, answer choice "C" is a two-step equation.

2x + 9 = 21. Subtract 9 from both sides

2x = 12. Divide both sides by 2.

x = 6.

Answer choice "B" just gives us the answer.

Answer choice "A" needs only one step to solve the equation.

x + 9 = 21. Subtract 9 from both sides.

x = 12.

The equation with two-step solution is x +9=21.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

A) x+ 9 = 21

Subtract 9 from both side we get

x +9 -9 = 21 -9

x = 12

B) x = 11

C) 2x + 9 = 21

Subtract 9 from both side we get

2x = 12

Divide both side by 2

x = 6.

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Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

Answer:

1.9x+3.7

Step-by-step explanation:

Combine like terms

3.6x + (-1.7x)= 1.9x

5.9 - 2.2= 3.7

Hence, 1.9x + 3.7.

[RevyBreeze]

Answer:

1.9x+3.7

Step-by-step explanation:

start by combining like terms

(3.6x-1.7x)+(5.9-2.2)

1.9x+3.7

The probability that a married couple watches the show is 0.7 * (0.4 * 0.5) = 0.14.

What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain or guaranteed event. In general, the higher the probability, the more likely an event is to occur.

We are given:

P(man watches show) = 0.4

P(woman watches show) = 0.5

P(man watches show | wife watches show) = 0.7

To find the probability that a married couple watches the show, we use the multiplication rule. We first calculate the probability that a married couple consists of a man and a woman who both watch the show.

P(man and wife watch show) = P(man watches show | wife watches show) * P(wife watches show)

= 0.7 * 0.5

= 0.35

Finally, we multiply this probability by the probability that a man watches the show:

P(married couple watches show) = P(man and wife watch show) * P(man watches show)

= 0.35 * 0.4

= 0.14

Therefore, the probability that a married couple watches the show is 0.14.

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Answer:

140

Step-by-step explanation:

(7/4) (80) =140 this is the answer for you.

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.

\(f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87\)

the answer to f(-5) is -87

GOODLUCK!!

Answer:

12

Step-by-step explanation:

divide 18 by 12 to calculate growth percentage which is 1.5 then multiply DF by 1.5 which is 12

1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study

2)  What is the​ sample's population: B) The population is collected of the response of all individuals who completed the math test

3) Which part of the study represents the descriptive branch of​ statistics:

individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.

hope i helpd

-lvr

The metaphor "civilization of dolls" is used in Chapter 1 to describe Bruno's old house, which he compares to a perfect little world where everything is just so.

This metaphor is important to the story as it sets up a stark contrast to the harsh reality of the world outside, especially once Bruno and his family move to Auschwitz. One possible idea is that the metaphor serves to highlight the innocence and naivety of Bruno's worldview, which is shattered as he learns about the horrors of the Holocaust. Another idea is that it foreshadows the dehumanization of the Jewish prisoners, who are treated like lifeless objects rather than human beings. Being the child of a German officer and moving frequently could shape the personalities of the children involved in several ways. Firstly, it could make them feel rootless and disconnected from any one place or community. Secondly, it could make them feel isolated and unable to form lasting friendships. Finally, it could make them feel guilty or ashamed of their father's role in the war, which could lead to a sense of self-doubt or internal conflict. These experiences could potentially shape the children's personalities in significant ways, influencing their attitudes towards authority, belonging, and moral responsibility.

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Answer:

x=  16 /20420505

Step-by-step explanation:

Let's solve your equation step-by-step.

5(215)x=16

Step 1: Simplify both sides of the equation.

20420505x=16

Step 2: Divide both sides by 20420505.

20420505x /20420505  =  16 /20420505

x=  16 /20420505

Answer:

I am not sure what you're asking, but the other side of #2 should be the same degree/the missing one has the same degree as #2, just like how #3 is the same as #1 in degrees. if you plug in #1 + #2 you'd get 180 degrees, same thing with the #3 + the missing degree

Based on the given information, we know the value of the minimum monthly payment which is $22. However, we do not know the value of the interest rate (r), the principal (P), and the number of times the interest is applied (m). Without knowing any of these variables, we cannot calculate the interest rate of the credit card.

Therefore, we need to gather more information about the credit card such as the interest rate and the terms and conditions of the loan agreement. It is important to have a clear understanding of all the variables involved in calculating the interest rate, as this will help you plan your payments and avoid late fees or penalties.
In this situation, you have the "minimum payment" ($22) and the "principal" ($1,000). The "variables" you know are the interest amount (I) and the principal (P). The interest amount (I) can be calculated by subtracting the principal from the minimum payment ($22 - $1,000).

To find the interest rate (r), you will need to use the simple interest formula: I = P * r * m. You will also need to know the number of times the interest is applied (m), which is typically monthly for credit cards. Once you have all the variables, you can solve for the interest rate (r).

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The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.

Emma spent $17.98 on 2 dozen bagels. The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.What are dozen bagels?A dozen bagels are 12 bagels. If Emma bought 2 dozen bagels, it means she bought 24 bagels. If you want to know the cost of one bagel, you can divide the total cost by the number of bagels she bought. So the cost of one bagel can be given by the equation;`Total cost of bagels / number of bagels bought = cost per bagel`Let us now use the given options to see which one of them represents the above equation.A. 17.98d = 2Here, we have the total cost multiplied by the cost per bagel which doesn't make sense.B. 17.98 + d = 2We can see that this equation does not have any terms to represent the number of bagels bought, it only has the total cost and the cost per dozen bagels.D. 2 + d = 17.98We can see that this equation does not have any terms to represent the total cost or the number of bagels bought. Hence it cannot represent the given situation.C. 2d = 17.98Here, we have the number of bagels multiplied by the cost per bagel to give us the total cost, which is what we need. Therefore the equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.

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Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

\(\left \{ {{x=1 } \atop {x^2+y^2=16}} \right.\)

To solve, substitute 1 for x in the second equation to get:

\(1^2+y^2=16\)

Solving, we get:

\(y=\sqrt{15}, y=-\sqrt{15}\)

Therefore, the two points of intersection are \((1,\sqrt{15} )\) and \((1,-\sqrt{15})\). The distance between these two points (the length of the chord in the circle) is \(2\sqrt{15}\) which is 7.745966692414... which is 7.7 rounded to the nearest tenth.

Hope this helps :)

Answer:

\(25x^6y^{10}\)

Step-by-step explanation:

\((5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}\)

Remember to use your exponent rules

Hi!

Given:

\((5xy^3)^2(xy)^4\)

Distribute the exponent:

\(5^2x^2y^6 * x^4y^4\)

Multiply like terms (add the exponents to do it):

\(25x^6y^\)^10

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1.0 is the mean of the variable x

The mean or expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Given :

x|  0      1     2      

p| 0.2 0.6  0.2

The expected value of x, E(x) =Σ xp

where x = number of classes and p = probability

E(x) = (0×0.2) + (1×0.6) + (2×0.2)

E(x) = 0 + 0.6 + 0.4

E(x) =  1.0

Therefore, the mean of the variable x is 1.0

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Answer:

\( \frac{30}{100} = \frac{33}{x} \\ 30x = 3300 \\ x = \frac{3300}{30} = 110\)