What’s the probability that the 5 balls will be pink?

Answer:

\(x = 6\)

Step-by-step explanation:

Given

Let the number be x.

So, we have:

\(4 * x\) ----- 4 times a number

\(= x^2 - 12\) --- 12 less than its square

The equation becomes

\(4x = x^2 - 12\)

Equate to o

\(x^2 - 4x - 12 = 0\)

Split

\(x^2 - 6x +2x - 12 = 0\)

Factorize

\(x(x - 6) +2(x - 6) = 0\)

Factor out x - 6

\((x + 2)(x - 6) = 0\)

Split

\(x + 2 = 0\ or\ x - 6 = 0\)

Solve for x

\(x = -2\ or\ x = 6\)

The positive value is 6

Answer:

6

Step-by-step explanation:

Have a good day :)

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ1

let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)

Answer:

Probability will be 4 by 6

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

#SPJ1

Answer:

To find the probability that the randomly selected point will lie inside the square, we need to find the area of the square and the area of the figure, and then divide the area of the square by the area of the figure.

The area of the square is 7 mm x 7 mm = 49 mm^2.

To find the area of the figure, we can divide it into a rectangle and two right triangles. The rectangle has dimensions of 8 mm x 14 mm, so its area is 8 mm x 14 mm = 112 mm^2. Each right triangle has base 8 mm and height 6 mm, so each triangle has an area of (1/2) x 8 mm x 6 mm = 24 mm^2. The total area of the figure is therefore 112 mm^2 + 24 mm^2 + 24 mm^2 = 160 mm^2.

The probability of selecting a point inside the square is then 49 mm^2 / 160 mm^2, which is approximately 0.3063 or 30.63%.

Therefore, the answer is closest to 26.1%, which is the third option.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Substitute f(4)=f(3)-1=(f(2)-1)-1=((f(1)-1)-1)-1=1-3=-2; Alternatively, find an explicit equation by noticing that f(n)=-n+2, since you minus 1 every time n increases by 1 (hence the -n), and now note with f(1)=-(1)+b, we have b=2 so its f(n)=-n+2, substituting gives -4+2=-2, thus we have also derived a general formula.

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

for such more question on linear equations

https://brainly.com/question/19803308

#SPJ8

Answer:

The whole thing is correct except for the 3rd and 4th column

Instead of "20, 24" it should be 20, 30 and instead of "36, 45" it should be 36, 50

Answer:

g − 1 −( 5/ g + 1 )

Step-by-step explanation:

g − 1 −( 5/ g + 1 )

Answer:

a) g – 1 – 5/g+1

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

Learn more about sample on

https://brainly.com/question/24466382

#SPJ1

D. y – 8 = –y minus 8 equals negative Start Fraction 2 Over 3 End Fraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Step-by-step explanation:

I took the test and got it right

Answer:

its D just did the test on edge

Step-by-step explanation:

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

Answer:

Step-by-step explanation:

Place : y+x=2 <==> y = 2-x

and now replace y with the x-expression:

2x-(2.x)=-4 <==> 2x-2+x= 4 <==> 3x-2 =4 <==> 3x = 6 --> x = 2

and y = 2-x so y = 2-3 = -1

so the solution is S = {(2; .1)}

Answer:

Step-by-step explanation:

Given the equation  q = 600 - 3p where;

q = demand for seats on a 500-seat airplane

p = price charged per ticket

Revenue = demand for seats * price charged per ticket i.e pq

Revenue = p * 600 - 3p ... 1

Cost of flying a passenger = unit cost *  demand for seats = 50q

Cost of flying a passenger = 50q ...2

Profit generated will be the revenue less cost i.e Revenue - cost

Profit generated = p(600 - 3p) - 50q

= p(600 - 3p) - 50(600-3p)

= 600p-3p²-30000+150p

= -3p²+750p-30000

Profit P = -p²+250p-10000

To maximize the profit, dP/dp = 0

-2p+250 = 0

-2p = -250

p = $125

To maximize profit, the airline should charge $125 per ticket

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

  11.5

Step-by-step explanation:

Coordinate values and side lengths are multiplied by the dilation scale factor. (Angle values remain unchanged.)

  W'X' = (1/4)WX

  W'X' = (1/4)(46) = 11.5

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Answer:

V=12.6cm^3

Step-by-step explanation:

Volume of Cone Formula: \(V=\pi r^2\frac{h}{3}\)

Given:

Radius=2, Height=3

1. Plug in your given values into the formula

\(V=\pi 2^2\frac{3}{3}\)

2. Solve

\(V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144\)

Rounded to tenths: 12.6

Answer:

New segment AD = 10 units

Step-by-step explanation:

Given:

AB = 5 units

CD = 5 units

Find:

New segment AD.

Computation:

⇒ New segment AD = AB + CD

⇒ New segment AD = 5 units + 5 units

⇒ New segment AD = 10 units

Answer:

40

Step-by-step explanation:

7*4=28

17*4=68

68-28=40

Answer:

240 Sq Feet

Step-by-step explanation:

the flower bed is 7*7= so 49 Square Feet

The Lawn, including the garden is 17*17= 289 square feet

the lawn without the garden is 289-49= 240 sq feet

Given:

Base price = $22,150

Options total = $8,062

Destination charge = $770

Dealer's cost = 91% of base price and 88% of price options.

Let's solve for the following:

• (a) What is the sticker price of the vehicle?

Let's first find the dealers cost.

We have:

Dealers cost = (91% of base price) + (88% of price options)

Dealer's cost = (0.91 x 22150) + (0.88 x 8062)

= 20156.5 + 7094.56

= 27251.06

The dealer's cost is = $27251.06

To find the sticker price, we have:

Sticker cost = Base price + Options total + Destination charge

Sticker cost = 22150 + 8062 + 770

Sticker cost = 309

Answer:

It takes Jane 2 2/3 minutes

It takes Joan 5 1/3 minutes

Step-by-step explanation:

let j = time it takes Jane

let 2j = time it take Joan

j + 2j = 8

3j = 8

j = 8/3 or 2/23

2j = 16/3 or 5 1/3

The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

For more such questions on L'Hôpital's rule

https://brainly.com/question/24116045

#SPJ8

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ1

Answer:

ok639010 is the answer of the day when I am in the toilet

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

6

2x+4

=3

3x

⋅2

x+8

⇒6

4

⋅3

2x

⋅2

2x

=3

3x

⋅2

x+8

⇒6

4

=3

x

⋅2

8−x

⇒3

4

⋅2

4

=3

x

⋅2

8−x

∴x=4.

Answer:

x=-21/11 .

Step-by-step explanation:

Answer: please look at the image for the answer

Step-by-step explanation: