Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the nearest tenth of a percent.​

Find The Probability That A Randomly Selected Point Within The Circle Falls In The Red Shaded Area (square).

Answers

Answer 1

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = [tex]l^2[/tex]

where length = [tex]4\sqrt{2}[/tex]

Area = [tex](4\sqrt{2}) ^2 = 32cm^2[/tex]

Area of the circle

Area of the circle = [tex]\pi r^2[/tex]

area of circle =[tex]\pi \times 4^2 =50.26cm^2[/tex]

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately


Related Questions

Help. What’s the answer to this problem?

Answers

Answer:

C) Yes, it’s a reflection over line f.

Step-by-step explanation:

It’s a reflection over line f.

A support wire is being attached to a telephone pole as shown in the
diagram. To the nearest foot, how long does the wire need to be?

Answers

the answer is 4.565    JF$OFB#$UF

Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500

Answers

Answer:

D

Step-by-step explanation:

He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)

what is the following product?
square root of 30 times the square root of 10

Answers

Step-by-step explanation:

That 'd be the square root of 300, which is equivalent to 10sqrt(3).

(6x-5)+(-7x+2)
and
(6x-5)-(-7x+2)
Need work

Answers

Answer:(6x-5)+(-7x+2)

1 Remove parentheses.

6x-5-7x+2

2 Collect like terms.

(6x-7x)+(-5+2)

3 Simplify.

-x-3

_____________________________

1 Remove parentheses.

6x-5+7x-2

6x−5+7x−2

2 Collect like terms.

(6x+7x)+(-5-2)

3 Simplify.

13x-7

Hope this helps

                                                                -Tobie the dog <3

☆Answer : A)

6x - 5 + (-7x + 2) = ...

= 6x - 5 - 7x + 2

= (6x - 7x) + (-5 - 2)

= -x - 7

[tex]\:[/tex]

B)

6x - 5 - (-7x + 2) = ...

= 6x - 5 + 7x + 2

= (6x + 7x) + (-5 + 2)

= 13x - 3

Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT

Answers

0, scalene triangle. none of the sides are the same length

Help thanks in advance

Answers

Answer:

C) 2/7, 1/2, 5/6, 4/2

Step-by-step explanation:

True or False? Please help!!

Answers

True bc it’s anything greater than or equal to that

Fill in the blank

7.5 cm =_ m
A. 0.0075
B. 0.075
C. 0.75
D. 750

Answers

D is the correct answer.

I need help please. I need the the discount and selling price. Thank you

Answers

Answer:

15.12 is the discount68.88 is the sell price

Step-by-step explanation:

When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100

This gets you 0.18

Now multiply

84 * 0.18 = 15.12

So 15.12 is the discount

Then take 84 and subtract 15.12

84 - 15.12 = 68.88

So 68.88 is the sell price

For a test in a math class, 60 students arrive and take out their supplies. Of those students, 22 bring pens, and 48 bring pencils. Only one student arrives without a pen or pencil.
How many students brought both a pen and a pencil?

Answers

Answer:

11 students brought both a pen and a pencil

Step-by-step explanation:

59 students brought a pen or pencil or both

48 + 22 = 70

70-59 = 11

11 students brought both a pen and a pencil

A bag of 33 tulip bulbs contains 11 red tulips, 12 yellow tulips, and 10 purple tulips. Suppose two tulip bulbs are randomly selected without replacement from the bag. What is the probability that two randomly selected tulip bulbs are both red

Answers

the answer will be 35/132

PLEASE HELP ME!!!!!!!!!ASAP!!!!!

Write down three integers, all less than 25, whose range is 8 and mean is 11.

Answers

Answer:

11,15,7

Step-by-step explanation:

11+15+7=33 33/3=11 the mean

then 15-7=8 the range

An elephant can travel 30 km in 2 hours. How fast is the elephant moving?

Answers

15 kilometers per hour
The elephant is moving at 15 km per hour

please help (no links) or i will report you i just need answers

Answers

Answer:

15.)  104 ... I hope angles are not drawn to scale

16.)  144

17.)  37

Step-by-step explanation:

15.)

3x + 10 = 4x -12

22 = x

so 3x +10 = 76

180 - 76 = t = 104

16.)

2(21) + 36 + 90 + bcd + a = 360

a = 90 - 21 = 69

360 - (2(21) + 36 + 90 + 69) = bcd

bcd = 360 - 237 = 123

angle acd = 21 + bcd = 21 + 123 = 144

17.)

(5x - 7) + 90 + (3x + 1) = 180

8x -6 = 90

8x = 96

x = 12

so 5x - 7 = 53

90 - 53 = angle lmn = 37

Find the erea of the trapezoid.

Answers

9514 1404 393

Answer:

  32 yd²

Step-by-step explanation:

Use the area formula with the given dimensions.

  A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h

  A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards

The area of the trapezoid is 32 square yards.

if y varies inversely as x and y=3 when x=14, find x when y=6​

Answers

X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.

the sum of 4 and 6 times a number z

Answers

Answer:

(4 + 6) × Z = 10 × Z

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

i put 15 i think it’s wrongs please help

Answers

Answer:

[tex] \sqrt{( {0 - 12}) {}^{2} + (1 - 10) {}^{2} } \\ = \sqrt{0 + 81} \\ = \sqrt{81} \\ = 9[/tex]

[tex] \huge\mathfrak\pink{A} \huge\mathfrak\purple{n} \huge\mathfrak\blue{s} \huge\mathfrak\red{w} \huge\mathfrak\green{e} \huge\mathfrak\orange{r}\ [/tex]

9 is the correct answer

pls help asap, ill give brainiest

Answers

The answer is D

If this helped a brainliest would be appreciated!

Jon throws a ball into the air off a platform. The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21 where y is the height, in feet, above the ground when the ball has traveled a horizontal distance of x feet. What is the factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground?

A. (x+7)(-2X+3)
B. (x-7)(-2x-3)
C.(2x+7)(x+3)
D. (2x-7)(-x-3)

Answers

Answer:

B          (-2x - 3 )(x - 7) =  (x - 7)(-2x - 3 )

Step-by-step explanation:

y = -2x² + 11x + 21

find x when y is zero  (the ground)

(-2x - 3 )(x - 7) = 0

(-2x - 3 )  = 0,   (x - 7) = 0

  x = -1.5   and   x = 7   since Jon did not throw the ball behind him (remember he is standing on a platform)  the only possible answer is 7 feet in front of him, but they the question didn't ask for x, so I would answer B.  The answer I got and multiplicans are in reverse order from their choice.

The  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground is (x-7)(-2x-3)

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² +bx+c=0. with a ≠ 0 .

Given that Jon throws a ball into the air off a platform.

The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21

y= -2x² + 11x + 21.

Let us factor out the equation by quadratic equation

-2x² + 11x + 21

When we factor out the equation becomes as (x-7)(-2x-3)

Let us verify the solution by applying distribution property

-2x²-3x+14x+21

-2x²+11x+21

Hence, (x-7)(-2x-3) is the  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ3

which is the smallest integers, please answer, -9, 0, -2, -4, -11​

Answers

Answer:

-11 :)

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Find the 8th term of the geometric sequence show below

Answers

Answer:

Alli khanaw .................

Answer:

8x^36

Step-by-step explanation:

first term (a) = [tex]8x^{8}[/tex]

Second term (t2)= [tex]8x^{12}[/tex]

common ratio (r)

= [tex]\frac{8x^{12} }{8x^{8} }[/tex]

= [tex]x^{4}[/tex]

now the 8th term of the G.S is

t8 = [tex]ar^{n-1}[/tex]

  = [tex]8x^8 * (x^4)^8^-^1[/tex]

  = [tex]8x^8 * (x^4)^7\\[/tex]

  = [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]

hope it will help

12. Find the highest common factor that divides 24,36, and 72
without learning a remainder.​

Answers

Answer:

Your answer is 12

Because the three numbers 24,36,72 are the factors of 12

If you are helped with my answer pls tag me brianliest

THANK YOU....

A pet store has
10 hamsters for every 8 cats.

What is the ratio of hamsters to cats?
8:18
8:10
10:8

Answers

Answer: 10:8

Step-by-step explanation:

There are 10 hamsters and 8 cats

Since hamsters is first in the ratio, you put the 10 and then the 8

10:8

Hope this helps!

Answer:

the last option 10:8....

A and B are similar solid cylinders base area of A : base area of B = 9 : 25

complete these ratios

curved surface area of A : curved surface area of B : = ? : ?

height of A : height of B = ? : ?

Answers

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

What is the slope of the line shown below?

(9, 1) and (-3, -7

Answers

Answer:

The slope is 4

Step-by-step explanation:

I think it's right

Practice
In the figure, a || 6. What is the value of x?

Answers

Answer:

x = 40

Step-by-step explanation:

3x + 9 = 129 Alternate Exterior Angles Theorem

-9 -9

3x = 120 divide by 3

x = 40

Jesse makes a large wooden picture frame in the shape of a rectangle with a diagonal brace on the back, as shown in the diagram.

What is the length, in feet, of the diagonal brace that Jesse uses?

Answer Choices:

F. 5ft

G.15ft

H.60ft

J.7ft

Answers

The answer is H.60ft

Answer:5 ft

Step-by-step explanation: ( 36 x 36 ) + ( 48 x 48 ) = 3600 inches

Square root of 3600 is 60

Convert inches to feet: 60 / 12 = 5

Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x

2x-2
X
12x
x-1



44 minutes left please help !!!!!!

Answers

Answer:

[tex] \frac{x - 1}{2x} [/tex]

Step-by-step explanation:

This is a correct answer.

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