If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?​

If A Point In The Figure Below Is Chosen At Random, What Is The Probability That It Is In The Shaded

Answers

Answer 1

Answer:

254/324 which is about 78.4%

Step-by-step explanation:

found area of entire square to be 18² or 324

found area of 4-quarter circles - which equals one circle with radius of 9

A = 81π which is about 70

subtracted 324 and 70 to get 254

ratio of shaded to unshaded is 254 : 324

Answer 2

The Probability of point to lie is in the shaded region= [tex]\frac{254.34}{324}[/tex]

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomeshow likely they are.

Area of square=  side x side

                        = 18 x 18

                        = 324 sq. cm.

Area of 4 quadrant =4 x  [tex]\frac{\pi r^{2} }{4}[/tex]

                                = [tex]3.14 * 9 * 9}[/tex]

                                = 254.34 sq. cm.

So, probability that it is in the shaded region= [tex]\frac{254.34}{324}[/tex]

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Related Questions

Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?

Answers

Answer:1.86*10^5

Step-by-step explanation:

Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.

Pls help I need the maser quick

Answers

Answer: 2nd choice,
Use the calculator

Which property allows you to write the expression
[(3 +71) + (8 - 61)] + (1+91) as (3 +71) + [(8-61) + (1 +91)]?
DONE

Answers

Answer:

the associative property

Step-by-step explanation:

the associative property allows the numbers to add regardless of how you group the numbers

What are the zeros of the quadratic function f(x) = 2x2 – 10x - 3?
O x=-
5
2.
731
+
2

37
and x=-
8
+
37
8.
2
31 and x =
O x=-
O x= { I and x= + 1
o x=- and x = {+7

Answers

Answer:

B is the answer....I did this math problem

The zeroes of the quadratic function given are 5/2 + √31 / 2 and  5/2 - √31 / 2.

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given quadratic function is

f(x) = 2x² - 10x - 3

We can find the roots of the quadratic function using the quadratic formula.

Quadratic formula for the quadratic function f(x) = ax² + b x + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a

Here, a = 2, b = -10 and c = -3

Substituting the values,

x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)

  = (10 ± √(100 + 24) ) / 4

  = (10 ± √124) / 4

  = (10 ± √(31 × 4)) / 4

  = (10 ± √31 √4) / 4

  = (10 ± 2√31) / 4

  = 10/4 ± 2√31 / 4

  = 5/2 ± √31 / 2

Hence the roots are 5/2 + √31 / 2 and  5/2 - √31 / 2.

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Jillian and Sammi sell 3 pillows for $3.20 each. Then they share the money equally. How much money does each girl get?

Answers

Answer:

$4.8

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Price of each pillow = $3.20

Total number of pillows = 3

So, total amount after selling = Price of each pillow × Total number of pillows

= $3.20 × 3

= $9.60

Total number of girls = 2

So, Money each girl gets = total amount after selling ÷ Total number of girls

= $9.60 ÷ 2

= $4.8

I need help with these!

Answers

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

9.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

By using mid-segment theorem for the given triangle, we get

[tex]54=\dfrac{1}{2}(3n)[/tex]

[tex]2\times 54=3n[/tex]

[tex]108=3n[/tex]

Divide both side by 3.

[tex]\dfrac{108}{3}=n[/tex]

[tex]36=n[/tex]

Hence, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

By using mid-segment theorem for the given triangle, we get

[tex]4n+5=\dfrac{1}{2}(74)[/tex]

[tex]4n+5=37[/tex]

[tex]4n=37-5[/tex]

[tex]4n=32[/tex]

Divide both side by 4.

[tex]n=\dfrac{32}{4}[/tex]

[tex]n=8[/tex]

Hence, the value of n is equal to 8.

There are 4 paperback and 10 hardback books on a reading list. Your teacher randomly assigns you 3 books to take home. What is the probability that you are assigned all hardback books? All answers should be given as a fraction in simplest form!
Any help would be appreciated! Thanks!!!

Answers

Answer:

14/3 as an improper fraction

Step-by-step explanation:

Step-by-step explanation:

3/2

Plz help me:)!!!✌︎('ω')✌︎

Answers

The answer to your problem is C

please help

What is a statistical question and what is its purpose? Be sure to include the 3 characteristics that make it up.

What does it mean for data to have variability as it refers to statistical questions? Give an example

Explain the difference between a dot plot and histogram. When would you use each graph?

Explain the difference between center and shape of a data set.

What are outliers and how do they affect a data set? What effect do outliers have on the measures of central tendencies? Which measure would be the best to use?

Answers

Answer: A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data.

A histogram is a chart that groups data into classes and displays the frequencies for those classes, while a dot plot illustrates each individual observation along a horizontal number line.

The center is the median and/or mean of the data. The spread is the range of the data. And, the shape describes the type of graph.

The average of set of data that is calculated by dividing the sum of the data by the number of items in the set. ... Measures of central tendency are mean, median and mode. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer: 1696.46

Step-by-step explanation:

6 x 6 x 3.14 = 113.1

24 x 24 x 3.14 = 1809.56

113.1 - 1809.56

thus we have 1696.46

sorry had to edit some things instead of one 6 its 6 x 6 and same with 24

24 because if u divide it basically gives u that?

Which expression represents a rational number?

Answers

Answer:

C

Step-by-step explanation:

2/7+sqrt121 is just 2/7+11.

This is rational.

Answer:

2/7 + sqrt 121

Step-by-step explanation:

the square root of 121 is a whole number - 11, which is rational and makes the equation rational

Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).

Answers

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?

Answers

$712.72

780×0.15

117

780−117

663

663×0.075

49.725

49.725+663

712.72

Price = 780
Discount = 15%
Tax = 7.5%

Price after tax = price + 7.5/100 price
= 780 + 7.5/100 * 780
= 780 + 58.5
= 838.5
Price = 838.5

Price after discount = 838.5 - 15/100 * 780
= 838.5 - 117
= 721.5

Round your answer to the nearest hundredth.
с
B
40°
?
7
А

Answers

Answer:

take 40 degree as reference angle

using sine rule

let opposite be x

sine 40=opposite/hypotenuse

0.64=x/7

0.64*7=x

4.48=x

Step-by-step explanation:

Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!​

Answers

Answer: okay sir

Step-by-step explanation:

Monika is in charge of ordering pens for an upcoming convention. Pens
come in boxes of 6 and boxes of 8 and Monika needs at least 720 pens.
Which inequality describes this situation?
x = number of boxes of 6 pens
y = number of boxes of 8 pens

Answers

6x+8y>=(is greater than or equal to)720

The inequality describing this situation is: 6x + 8y ≥ 720

Recall:

A situation can be described using Inequality.Inequality equation involves variables and inequality signs.

Given:

number of boxes containing 6 pens = xnumber of boxes containing 8 pens = y

Given that Monika needs at least 720 pens, it means that total number of pens in boxes containing 6 and 8 pens respectively must be equal to or greater than 720.

Therefore, the inequality describing this situation is: 6x + 8y ≥ 720

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What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?

Answers

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

HELP PLZ I’m struggling with this

Answers

Answer:

270 per year so 6 years is 1620 and add that with 6000=7620

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

The volume of the cone is 1621 yd3. What
is the radius of the cone? height=6

Answers

Answer:

If height is in meters: 14044.4876 is the radius

If height is in kilometer: 444.1257 is the radius

Step-by-step explanation:

The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?

Answers

Answer:

74 adult tickets

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets and c is the number of child tickets:

a + c = 238

17a + 14c = 3554

Solve by elimination by multiplying the top equation by -14:

-14a - 14c = -3332

17a + 14c = 3554

Add these together, and solve for a:

3a = 222

a = 74

So, 74 adult tickets were sold last night

1. What is 65% of 80?
2. 34 is what percent of 40?

Answers

Answer:

1. 52

2. 13.6

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. What is 65% of 80

Let's set up an equation.

When we see %, we can put that number over 100.

65% = 65/100 = 0.65

"of" means to multiply.

So, 65% of 80 is

0.65 • 80 = x

Multiply.

x = 52

52

2. 34 is what percent of 40?

"is" symbolizes the equals sign (=)

"of" means to multiply.

"what percent" is our unknown.

34 is what percent of 40

34 = x/100 • 40

Divide both sides by 40.

0.85 = x/100

Multiply both sides by 100.

85 = x

85%

Hope this helps!

Solve - 3/5 divided by 9/10. Put your answer in simplest form.

Answers

3/4 because you flip the reciprocal

Answer:

2/3

Step-by-step explanation:

Heres how I got 2/3

So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.

So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.

So we are going to line up 3/5 and 9/10 right next to eachother.

Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.

So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.

So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!

does anyone know this?

Answers

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

Find the common ratio of the geometric sequence 9,-18,36

Answers

Answer:

r = - 2

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2

Answer:

y ar u gay

Step-by-step explanation:

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

Help pleaseeee

3.3 - 5.7n – 3n +8= ??

Answers

Answer:

11.3 - 8.7n

Step-by-step explanation:

Its almost basically combining like terms

You subtract - 5.7n - 3n to get -8.7n, then you add 3.3 + 8 to get 11.3 and you finally put it an equation 11.3 - 8.7n

Solve the equation for x.​

Answers

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

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