A bag contains a collection of distinguishable marbles. The bag has three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.

How many sets of four marbles include exactly two green marbles? (Note that this means there must be two other non-green marbles as well).

Answer:

x²+y²=√(2/7 x-y)

is the answer, i think

Answer:no idea

Step-by-step explanation:

Answer:

{  \(\frac{7}{4}\) - \(\frac{\sqrt{2} }{2}\) ,  \(\frac{7}{4}\) + \(\frac{\sqrt{2} }{2}\) }

Step-by-step explanation:

ax² + bx + c = 0

\(x_{12}\) = ( - b ± \(\sqrt{b^2 -4ac}\) ) ÷ 2a

~~~~~~~~~~~

g(x) = 3x - 7

g²(x) = (3x - 7)²

g²(x) = 9x² - 42x + 49

g²( \(\frac{4k}{3}\) ) = 9( \(\frac{4k}{3}\) )² - 42( \(\frac{4k}{3}\) ) + 49

9( \(\frac{4k}{3}\) )² - 42( \(\frac{4k}{3}\) ) + 49 = 8

16k² - 56k + 41 = 0

a = 16 , b = - 56 , c = 41

D = b² - 4ac = ( - 56)² - 4(16)(41) = 512 = \(2^{9}\)

\(k_{1}\) = ( 56 + √\(2^{9}\) ) ÷ 32 = \(\frac{7}{4}\) + \(\frac{\sqrt{2} }{2}\)

\(k_{2}\) = \(\frac{7}{4}\) - \(\frac{\sqrt{2} }{2}\)

The size of AB in each triangle is (1) 5√2, (2) 14cm, (3) √(338) units, and (4) 40√(2) feet respectively.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

By the Pythagorean theorem, we have:

AB² = AC² + BC² = 5² + 5² = 50

Taking the square root of both sides, we get:

AB = √(50) = 5*√(2)

Therefore, AB = 5*√(2) inches.

By the Pythagorean theorem, we have:

AB² = AC² + BC² = (7√(2))² + (7√(2))² = 98*2

Taking the square root of both sides, we get:

AB = √(982) = 7√(2)*√(2) = 14

Therefore, AB = 14 cm.

Since AC = BC, the triangle is an isosceles right triangle. Therefore, by the Pythagorean theorem, we have:

AB² = AC² + BC² = 2*(AC²) = 2*(13²) = 338

Taking the square root of both sides, we get:

AB = √(338)

Therefore, AB = √(338) units.

Since AC = BC, the triangle is an isosceles right triangle. Therefore, by the Pythagorean theorem, we have:

AB² = AC² + BC² = 2*(AC²) = 2*(40²) = 3200

Taking the square root of both sides, we get:

AB = √(3200) = 40*√(2)

Therefore, AB = 40√(2) feet.

hence, the size of AB in each triangle is (1) 5√2, (2) 14cm, (3) √(338) units, and (4) 40√(2) feet respectively.

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Answer:

The correct answer is A.

Step-by-step explanation:

1/5*-10/1=-10/5= -2

2/3*3/1=6/3=      2

----------------------------

                          0.

Answer:

a –10 times the first equation and 3 times the second equation

Step-by-step explanation:

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

9.81×10^−4

Step-by-step explanation:

Answer:

  2/5

Step-by-step explanation:

There are several ways to work this. One is to simplify the equation first.

  \(\dfrac{\ \dfrac{1}{2}\ }{\dfrac{3}{5}}=\dfrac{\ \dfrac{1}{3}\ }{m}\\\\\dfrac{1\cdot5}{2\cdot3}=\dfrac{1}{3m}\qquad\text{simplify fractions}\\\\m=\dfrac{6}{5}\cdot\dfrac{1}{3}\qquad\text{multiply by $\dfrac{6}{5}m$}\\\\\boxed{m=\dfrac{2}{5}}\qquad\text{simplify}\)

__

Alternate solution

You know that the solution to ...

  a/b = c/m

can be found by cross-multiplying, then dividing by the coefficient of m:

  am = bc

  m = bc/a

You can go there directly with the values in this problem: a=1/2, b=3/5, c=1/3.

  m = (b)(c)(1/a) = (3/5)(1/3)(2/1) = (1/5)(2/1) = 2/5

_____

The intervals on which the function is increasing are: (-∞, -2) and (7, ∞), and the intervals on which the function is decreasing are: (-2, 7). In interval notation, this is written as (-∞, -2), (7, ∞) and (-2, 7).

The given function is h(x) = (x + 2)^2 x (x-7)^1/3. This is a polynomial function with two terms. The first term, (x + 2)^2, is a quadratic function, and the second term, (x-7)^1/3, is a cube root function.

We can use the derivative of the function to determine the intervals on which the function is increasing and decreasing. Taking the derivative of the function yields: h'(x) = 2(x + 2)(x - 7)^1/3 + (x + 2)^2 x (1/3)(x - 7)^-2/3. Setting the derivative equal to zero, we can solve for x and find where the function is not increasing or decreasing. Solving this equation yields x = -2 and x = 7, the points of inflection.

Therefore, the intervals on which the function is increasing are: (-∞, -2) and (7, ∞), and the intervals on which the function is decreasing are: (-2, 7). In interval notation, this is written as (-∞, -2), (7, ∞) and (-2, 7).

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That is correct.

Sqrt 5 x sqrt20

Apply the radical rule to get sqrt( 5 x 20)

Simplify to get sqrt(100)

Sqrt(100) = 10

Answer:

To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.

The annual depreciation amount is calculated as: $1 million / 50 years = $20,000

In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000

In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000

Solution:

\( \\ (a - 2b) ^{3} \)

\( \\ ( - 3 - 2 \times \frac{ - 1}{2} ) ^{3} \)

\( \\ = (- 3 + 1) ^{3} \)

\( \\ = ( - 2) ^{3} \)

\( \\ = ( - 2)( - 2)( - 2)\)

\( \\ = - 8\)

Answer:

\( \\ {\boxed{ - 8}}\)

♦♦♦♦Hope it helps♦♦♦♦

please mark this answer as brainlist

Answer:

Option B. 3/4 > 2/3 is the correct answer.

Step-by-step explanation:

Lets look at the options one by one

A. 1/2 < 1/3

This inequality converts into 0.5<0.33 which is false.

B. 3/4 > 2/3

This simplifies to 0.75>0.666 which is true.

C. -1/4 < - 2/3

This converts to -0.25<-0.666 which makes the inequality false.

D. -1 > 3/4​

This converts to -1>0.75 which makes the inequality false.

Hence,

Option B. 3/4 > 2/3 is the correct answer.

Answer:

Option C. -1/4 < - 2/3 is the correct answer.

-1/4 equals -3/12

-2/3 equals -8/12

So, it is -2/3 is greater

Answer:

Hi there!

Your answer is:

W=17.5feet

Step-by-step explanation:

We use the surface area form for a cuboid:

2h(l+w)=SA

Fill in the known values!

2(2)* (5+ W) = 90

Solve for W!

4*(5+W)=90

20+4w=90

-20

4w=70

/4

W=17.5feet

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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There is evidence to suggest that the market share for the Honda Civic in the city is different from its national market share of 20% by using Hypothesis test. 95% confident that the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra is between 0.512 and 0.613.

Conduct a hypothesis test at the 5% level of significance to determine if the market share for the Honda Civic in the city is different from its national market share of 20%. First, we need to calculate the expected frequencies for each category based on the national market shares:

Honda Civic: 0.20 x 400 = 80

Toyota Corolla: 0.17 x 400 = 68

Nissan Sentra: 0.12 x 400 = 48

Hyundai Elantra: 0.10 x 400 = 40

Chevrolet Cruze: 0.10 x 400 = 40

Ford Focus: 0.08 x 400 = 32

Others: 0.23 x 400 = 92

Then, we can use the chi-squared goodness-of-fit test to determine if the observed frequencies in the sample are significantly different from the expected frequencies.

The test statistic is calculated as follows:

chi-squared = sum((observed - expected)^2 / expected)

Using the observed and expected frequencies from the sample, we get:

chi-squared = ((99-80)^2/80) + ((73-68)^2/68) + ((53-48)^2/48) + ((45-40)^2/40) + ((41-40)^2/40) + ((26-32)^2/32) + ((63-92)^2/92) = 14.68

The degrees of freedom for this test are df = k - 1 = 7 - 1 = 6, where k is the number of categories. Using a chi-squared distribution table with 6 degrees of freedom and a significance level of 0.05, the critical value is 12.59.

Since our calculated chi-squared value of 14.68 is greater than the critical value of 12.59, we reject the null hypothesis and conclude that there is evidence to suggest that the market share for the Honda Civic in the city is different from its national market share of 20%.

b) Construct a 95% confidence interval for the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra.

We can use the formula for a confidence interval for a proportion:

CI = p ± zsqrt(p(1-p)/n)

where p is the proportion of interest, z is the critical value from the standard normal distribution (1.96 for a 95% confidence interval), and n is the sample size.

We want to find the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra. From the sample, the total number of sales for these three models is 99 + 73 + 53 = 225. The total sample size is 400.

So, the proportion we are interested in is:

p = 225/400 = 0.5625

Plugging in the values, we get:

CI = 0.5625 ± 1.96sqrt(0.5625(1-0.5625)/400) = 0.512 to 0.613

Therefore, we can be 95% confident that the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra is between 0.512 and 0.613.

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_____The given question is incommplete, the complete question is given below:

Based on 2017 sales, the six top-selling compact cars are the Honda Civic Toyota Corolla_ Nissan Sentra Hyundal Elantra_ Chevrolet Cruze; and Ford Focus (New York Daily News) . The 2017 market shares are Honda Civic 20 %, Toyota Corolla 17%, Nissan Sentra 12 %, Hyundar Elantra 10 %, Chevrolet Cruze 10%_ and Ford Focus 8% with other small car models comprising the remaining 23%. sample of 400 compact car sales in Chicago showed the following number of vehicles sold_ Excel File: datal2-27xlsx Honda Civic Toyota Corolla Nissan Sentra Hyundai Elantra Chevrolet Cruze Ford Focus Others Use goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales_ Using 0.05 level of significance what is the P-value? Use Table of Appendix The p-value Select your answer What is your conclusion? Conclude that the markets shares for the seven compact cars in Chicago Select your GMAAT the market shares reported_ What market share differences, if any; exist in Chicago? Round your answers to three decimal places Enter negative values as negative numbers_ Sample Hypothesized Market Share Compact Car Market Share Honda Civic Difference Toyota Corolla Nissan Sentra Hyundai Elantra Chevrolet Cruze 0.10 0.10 Ford Focus Others 0.23

I'm thinking it's

I'm thinking it's"Any value that is greater than -2."

Please mark brainliest...

Answer:

9. -16

10. 3

11. 4

Step-by-step explanation:

9. 21 = 5 - r

Subtract 5 from both sides;

16 = -r

Divide both sides by -1

-16 = r OR r = -16

10. 8 - 5b = -7

Subtract 8 from both sides;

-5b = -15

Divide both sides by -5

b = 3

11. -10 = 6 - 4m

Subtract 6 from both sides;

-16 = -4m

Divide both sides by -4

4 = m OR m = 4

Answer:

Step-by-step explanation:

Answer:

Bicycle : $117

Tricycle : $87

Unicycle : $183

Step-by-step explanation:

Write a system of equations:

x + 3y + z = 561

7x + y = 906

2x + 7y + 5z = 1758

Where:

x = price of bicycle

y = price of tricycle

z = price of unicycle

Solve for x, y, and z.

Answer:

85

Step-by-step explanation:

255 ÷ 3 = 85

85×2= 170 This is how much student tickets were sold.

255 - 170= 85

85 adult tickets were sold.

Answer:

B.

Step-by-step explanation:

That's like the only answer that makes sense.

Answer:

\(0.25\)

Step-by-step explanation:

44% are eighth graders.

11% of the eighth graders take the bus.

\(0.11/0.44\)

\(=0.25\)

Answer:

6 km

Step-by-step explanation:

1 meter = 1/1000 km

(1 meter = 1/1000 km) x 1000

1000 meters = 1 km

6000 meters = ?

1 x 6000m = 1000 x ?

6000 = 1000 x 6

6000/1000 = 1000 x 6/1000

6 = 6

Both sides divided by 1000 are 6, so the answer is 6 km.

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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