Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
61.2%
Step-by-step explanation:
Area of the circle π(4²) = 50.265... cm²
Area of the triangle = ½(6)(6.5) = 19.5 cm²
probability of landing is white is
1 - (19.5 / 50.265) = 0.612059...
The probability that a randomly selected point within the circle falls in the white area is 61.22%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The total outcomes = The area of a circle
The area of the circle = πr²
The area of the circle = π(4)²
Because r = 4 cm
The area of the circle = 50.285 square cm
The area of the triangle = (1/2)(3+3)(4+2.5)
The area of the triangle = 19.5 square cm
The area of the white region = 50.285 - 19.5 = 30.785 square cm
Probability = 30.785/50.285
Probability = 0.6122 or
Probability = 61.22%
Thus, the probability that a randomly selected point within the circle falls in the white area is 61.22%.
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3 write the factor of the following (1) 48 (2) 36 (3) 28 (4) 100 (5) 125
Answer:
FACTORING THE NUMBERS :-
well u didnt say to prime factors so i am writing all factors
1) 48 => 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 ( all are plus and minus )
2) 36 => 1, 2, 3, 4, 6, 9, 12, 18 and 36 ( all are plus and minus )
3) 28 => 1, 2, 4, 7, 14 and 28 ( all are plus and minus )
4) 100 => 1, 2, 4, 5, 10, 20, 25, 50, and 100 ( all are plus and minus )
5) 125 => 1, 5, 25, 125 ( all are plus and minus )
is it worth brainliest...
yes ofc
Please Help!!! Thank you!
find x
Answer:
If the hypotenuse of the 30 60 90 triangle is 7 sqrt 3, then the length of the longer side is equal to 7 x 3, or 21.
Now going to the 45 45 90 triangle, we can see that x is equal to 21[tex]\sqrt{2}[/tex]. This is because the hypotenuse of a 45 45 90 triangle is equal to the side length times sqrt 2.
So our answer is, 21[tex]\sqrt{2}[/tex].
Let me know if this helps!
how many pieces each 31/6 metres long can be cut fram a cloth 155/2 metres long ?
Answer:
?
Step-by-step explanation
my 4th person to ask a question
slobs for x, pls help asap ! thanks
Answer:
Option D, there are no solutions
Answer:
[tex]-6x+14<-28[/tex]
[tex]-6x<-28-14[/tex]
Add,
[tex]-6x<-42[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}>\frac{42}{6}[/tex]
[tex]x>7[/tex]
[tex]3x+28\leq 25[/tex]
Subtract both sides by 28
[tex]3x\le \:-3[/tex]
Now, divide both sides by 3
[tex]x\le \:-1[/tex]
Answer:- [tex]x\leq -1\: or \: x>7[/tex]
OAmalOHopeO
Write C=5/9(F-32) in standard form
Answer:
f360 is the ans
Step-by-step explanation:
Lena, Hong and David sent a total of 126 text messages over their cell phones during the weekend. David sent four times as many messages as Hong. sent six more messages than Lena. How many messages did they each send?
Step-by-step explanation:
Which is the first sincetist of world
Put 1.09, 1.0, 1.9, 1.19, 1.1 on a number line in order?
Answer:
1.0, 1.09, 1.1, 1.19, 1.9
Step-by-step explanation:
Basic ordering of decimals
kh
use h = 10. and k = 4
4
Choose all options that apply. Which of the following are antiviral medications commonly used to treat the flu? | a) Azelastine Oxymetazoline c) Zanamivir O d) Oseltamivir
The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is:
A. 3
B. 0
C. not enough information
D. infinitely many
Answer:
D. infinitely many
Step-by-step explanation:
Perpendicular lines can be drawn everywhere on the lone in infinitely different places, making the answer infinite.
The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is infinite many.
The correct answer is an option (D)
What is perpendicular to line?"It is a straight line that makes an angle of 90° with another line. "For given question,
Lines are perpendicular to each other if their intersection with one another forms a right angle. Through any given line, there are an infinite number of perpendicular lines.Through a specific point on a line, there exists only one perpendicular line. Similarly, for a line and a point not on that line, there is only one perpendicular line through the point.We can draw infinite perpendicular lines to a
Therefore, the number of lines that can be drawn perpendicular to a given line at a given point on that line in space is infinite many.
The correct answer is an option (D)
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The mayor of a large U.S. city is interested in addressing complaints from many property owners regarding recent property assessments. Many people feel that they are being overtaxed and that their assessments are too high. To study this issue, the mayor plans to hire consultants to randomly select homes in the city and have these homes independently assessed for value. However, she is concerned that the cost of sampling will be very high since the city is spread out over a wide geographical area. To potentially reduce the cost of sampling, which of the following statistical sampling techniques should be applied?
In order to reduce the cost of sampling, the cluster sampling should be applied.
Cluster sampling is a form of sampling techniques whereby the population that the researcher wants to study are divided into smaller groups which are called clusters.
Based on the question asked, since the the cost of sampling will be high for the entire population, the population can be divided into clusters after which the required people will be selected. This will help in reducing the cost.
In conclusion, the statistical sampling techniques that should be applied is the cluster sampling.
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Stella and Michael are helping their friend Austin move. Stella can move one box for every four boxes that Michael can move. If Stella moves ten boxes, how many boxes can Michael move?
Explanation:
Stella can move 1 box for every 4 boxes Michael moves.
She moves 10 boxes, so that must mean Michael moved 40 boxes (since 4*10 = 40).
Put another way, the ratio 1:4 bumps up to the equivalent form 10:40 after multiplying both parts by 10. The first value of each ratio is the amount of boxes Stella moves, and the second part is what Michael moves.
You could also solve it like this
1/4 = 10/x
1*x = 4*10
x = 40
In the second step, I used cross multiplication.
Side1 : 3x^2 − 4x − 1 (^to the second power)
Side2: 4x − x^2 + 5 (^to the second power)
Perimeter of the triangle is: 5x^3 -2x^2+3x-8 (^to the second power)
Please Explain:
Part A: What is the total lenge of sides 1 and 2 of the triangle?
Part B: What is the length of the 3rd side of traingle?
Part C: Is Part A and Part B identify the polynomials are closed under addition and subtraction-please show math
9514 1404 393
Answer:
A. 2x^2 +4
B. 5x^3 -4x^2 +3x -12
C. addition and subtraction of polynomials result in polynomials (closed)
Step-by-step explanation:
A. The total of the two side lengths is ...
(3x^2 -4x -1) +(-x^2 +4x +5) = (3 -1)x^2 +(-4+4)x +(-1+5) = 2x^2 +4
__
B. The length of the third side is the difference between the total for all three sides and the total for the given two sides:
(5x^3 -2x^2 +3x -8) - (2x^2 +4) = 5x^3 +(-2-2)x^2 +3x +(-8-4)
= 5x^3 -4x^2 +3x -12
__
C. Addition of the two polynomials results in a polynomial. Subtraction of the two polynomials results in a polynomial. There is nothing here to indicate the set of polynomials is not closed under addition and subtraction.
Put these numbers greatest to least
Answer:
17.47, 103/6, 16.43, 16 1/3
Step-by-step explanation:
Answer:
17.47, 103/6, 16.43. 16 1/3
Step-by-step explanation:
6/6/ Is a proper fraction or improper fraction
Answer:
proper fraction
Step-by-step explanation:
a proper fraction has smaller numerator than its denominatot.
Answer: Proper Fraction
Step-by-step explanation:
The denominator is equal or bigger than the numerator.
Must click thanks and mark brainliest
Select all sets in which the number - 15 is an element.
A. natural numbers
B. real numbers
C. irrational numbers
D. rational numbers
E. whole numbers
F. integers
-15 is an element of-
B. real numbers
D. rational numbers
F. integers
What is a number?A number is a mathematical object used to count, measure, and label. The original examples are natural number 1,2,3,4 and so forth.
Given number is 15.
A. natural numbers
The natural numbers are the set of all the whole numbers excluding zero. They are positive whole number.
Here, -15 is a negative number,
Hence, -15 is an not element of natural number.
B. real numbers
Real numbers are those numbers that has no imaginary part. It also include both rational and irrational number.
Since -15 has no imaginary part
Hence, -15 is an element of real number.
C. irrational numbers
An irrational number is real number that cannot be expressed as a ratio of two integers.
Here -15 can be expressed as ratio of two integers,
Hence,-15 is not an element of irrational number.
D. rational numbers
A rational number is real number that can be expressed as a ratio of two integers.
Here -15 can be expressed as ratio of two integers,
Hence, -15 is an element of rational number.
E. whole numbers
Whole numbers are positive numbers, including zero, without any decimal or fractional parts. Negative numbers are not considered "whole numbers."
Since,Negative numbers are not considered whole numbers
Hence, -15 is not an element of whole number.
F. integers
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043
Hence, -15 is an element of integers.
Hence, we conclude that,
-15 is an element of-
B. real numbers
D. rational numbers
F. integers
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Whats the volume of this aquarium?
PLZ HELP!!
Which function below has the following domain and range?
Domain: { – 7, - 5, 2, 6, 7}
Range: {0, 1, 8)
o {(1, – 5), (8, 7), (0, 6), (1, – 7), (0, 2)}
o {(-7,0), ( – 5,1), (2, 8), (6,5), (7, 7)}
o {(-7,7), (0,8)}
o {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}
The function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.
How to Determine the Domain and Range of a Function?A function is a relation that consists of a domain (a set of x-values) and a corresponding range (set of y-values).
Thus, each ordered pair in a function is expressed (x, y), where all values of x make up the domain, while tehri corresponding y-values make up the range of the function.
Thus, for a function given as, {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}:
The set of x-values is, -7, -5, 2, 6, and 7. Therefore, the domain is: { – 7, - 5, 2, 6, 7}.
The set of y-values is: 0, 1, and 8. Therefore, the range is: {0, 1, 8).
Thus, the function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.
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Answer: (2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)
Step-by-step explanation: TCB
Solve the polynomial by finding all roots.
X^3-6x^2-2x+12=0
helppppp giving brainly too
Step-by-step explanation:
[tex] {p}^{2} + 2pq - 3 {q}^{2} [/tex]
[tex]( \frac{1}{4} {)}^{2} + 2( \frac{1}{4} )( \frac{2}{3} ) - 3( \frac{2}{3} {)}^{2} [/tex]
[tex] \frac{1}{16} + \frac{1}{ 3} - \frac{4}{3} [/tex]
[tex] \frac{ - 15}{16} [/tex]
Find the surface area of a cube that has side length of 3.5 inches
Answer:
73.5
Step-by-step explanation:
find the value of z, angles related to a circle
Which of the following can be the probability of an event
[tex]\boxed{\sf 0\lt P(E)\gt 1}[/tex]
P(E)=0 means there is no chance of happening that eventP(E)=1 means there is full chance of or syre about happening the event.The perimeter of a triangle is 93 centimeters. If two sides are equally long and the third side is 9 centimeters longer than the others, find the lengths of the three sides.The length of each of the two equally long sides is ____ ▼ square centimeters centimeters and the length of the longer side is ____ ▼ square centimeters. centimeters.
Answer:
28 & 37 cm
Step-by-step explanation:
Perimeter(P)=9 cm
Let the equal sides(a) be x cm, then third side(b)=(x+9)cm
We have,
P=Sum of all sides
93=a+a+b
or,93=2a+(x+9)
or,93=2x+x+9
or,93-9=3x
or,84/3=x
therefore, x=28
Now,
Length of equal sides=x=28cm
Therefore, The length of each of the two equally long sides is 28 cm
The length of the longer side=(x+9)=28+9=37cm
Answer:
the other person is correct
Step-by-step explanation:
i put in the answers and i passed
2/4= 4-2 true or false
Answer:
= Answer is falseStep-by-step explanation:
False is the ansPLease help and explain
From eq(2)
[tex]\\ \sf\longmapsto x-5y=0[/tex]
[tex]\\ \sf\longmapsto x=5y\dots(3)[/tex]
Put the value in eq(1)[tex]\\ \sf\longmapsto 4x+3y=23[/tex]
[tex]\\ \sf\longmapsto 4(5y)+3y=23[/tex]
[tex]\\ \sf\longmapsto 20y+3y=23[/tex]
[tex]\\ \sf\longmapsto 23y=23[/tex]
[tex]\\ \sf\longmapsto y=1[/tex]
Put the value in eq(3)[tex]\\ \sf\longmapsto x=5y[/tex]
[tex]\\ \sf\longmapsto x=5(1)[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
Hence
(x,y)=(5,1)
Do the two trapezoids in the figure appear to be similar? Why or why not?
options:
A)
They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.
B)
They're similar because two pairs of corresponding angles in the two trapezoids are congruent.
C)
They're similar because one pair of corresponding angles in the two trapezoids is congruent.
D)
They're not similar because two pairs of corresponding angles in the two trapezoids are congruent.
Answer:
Option B,
They're similar because two pairs of corresponding angles in the two trapezoids are congruent
Answer:
They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.
Step-by-step explanation:
8. Write 3x3 – 21x2 + 36x in factored form.
3x(x - 4)(x - 3)
3x(x - 5)(x - 2)
3x(x + 6)(x + 2)
O
3x(x + 4)(x + 3)
Answer:
A
Step-by-step explanation:
3x^3 – 21x^2 + 36x=3x(x^2-7x+12)=3x(x - 4)(x - 3)
3+(-2) is_units from 3, in ___ the
direction.
9514 1404 393
Answer:
2 unitsnegative (left) directionStep-by-step explanation:
-2 is 2 units in the negative direction (left on a number line). When that is added to 3, the result is 2 units from 3 in the negative direction.
