The probability that the center of the circle lies inside the region of n-gon = 1/2
Let the N point be chosen randomly on the circumference of the circle.
Let's take N as a1, a2, a3,…….an.
Now we need to find the probability that how many centers lie inside the region of n-gon. As there will be n- sided polygons can be formed inside the circle by joining all the points.
So here are the Possible Outcome is 2. One center may lie outside the polygon and the other which lie inside the center.
But we want one which lies inside the center. So our Favorable Outcome is 1.
So the Probability = Favorable outcome \ possible outcome
= 1/2
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The figure to the right has its congruent segments marked. Find the measure of AB.
A
C
B
25 meters
5 meters
Question content area bottom
Part 1
AB
enter your response here meters
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3200 seats. The students filled 2112 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
The 6th graders filled 66% of the seats in the theater on the field trip.
To find the percentage of seats in the theater that were filled by the 6th graders on the field trip, we can use the following formula:
Percentage = (Filled Seats / Total Seats) * 100
Filled Seats = 2112
Total Seats = 3200
Substituting the values into the formula:
Percentage = (2112 / 3200) * 100
Percentage = 0.66 * 100
Percentage = 66%
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The 6th-grade students filled approximately 66 percent of the 3200 seats in the theater during their field trip to see the ballet.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that,
A middle school took its 6th-grade students on a field trip to see a ballet.
The field trip took place at a theater.
The theater has a total of 3200 seats.
The 6th-grade students filled 2112 of the seats in the theater.
To calculate the percentage of seats filled by the 6th-grade students:
Use the formula = (Number of seats filled / Total number of seats) x 100.
In this case,
The number of seats filled by the 6th-grade students is 2112, and the total number of seats in the theater is 3200.
Put the values, we get,
(2112 / 3200) x 100 = 66%
Hence
The 6th graders filled approximately 66% of the seats in the theater.
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What is the equation of the line shown in the coordinate plane below?
How do you write -0.2 repeating as a fraction?
Please help. Will give brainliest if it's correct. Also plz don't just use me for points. Actually answer it bc a girl did that to me yesterday and she was rlly annoying.
Answer:
i think the first one. I hope it's right. Good luck!
Step-by-step explanation:
Will give brainliest and extra points if help
Answer: c
Step-by-step explanation:
Answer:
I'm pretty sure it's B
Step-by-step explanation:
hope I helped
Please help if possible due today!❤️❤️ 18 points
The frequency table shows the number of points scored during 30 Bulldogs
basketball games. On a piece of paper, draw a histogram to represent the
data. Then determine which answer choice matches the histogram you drew.
Answer:
A
Step-by-step explanation:
All of the values are represented correctly on the histogram. It represents both the points and the frequencies in the correct way.
Answer:
It's A.
Step-by-step explanation:
it matches with the frequency table
Can someone please help me and explain if you can
Answer:
∠6=116°
Step-by-step explanation:
Buckle up :)
We are given the values of ∠4 [tex](-2x+94)[/tex] and ∠8 [tex](-5x+139)[/tex].Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also [tex]-2x+94[/tex].∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:[tex]-2x+94=-5x+139[/tex]
Solve for x. Subtract 94 from both sides:
[tex]-2x+94-94=-5x+139-94\\\\-2x=-5x+45[/tex]
Add 5x to both sides:
[tex]-2x+5x=-5x+5x+45\\\\3x=45[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{45}{3} \\\\x=15[/tex]
Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:
[tex]x=15\\\\-2(15)+94\\\\-30+94\\\\64[/tex]
∠4 is 64°. Use ∠a+∠b=180 to find angle 6:
[tex]a+64=180[/tex]
a represents angle 6. Subtract 64 from both sides:
[tex]a+64-64=180-64\\\\a=116[/tex]
Angle 6 has a measure of 116°.
:Done
Pencils come in packages of 20 and signs come in packages of 12 she wants to buy the same number of pencils and pens what is the least number of pencil and pen she needs to buy
Performing LCM, the least number of pencils and pens that she needs to buy are 60 pencils and 60 pens.
LCM refers to the least common multiple. The LCM of two or more numbers is the one that can divide all the numbers by the single number itself.
Pencils come in packages of 20 and pens come in packages of 12.
So, the possible lowest common multiplier is LCM of 20 and 12, and it is 60.
So she has to buy 3 packages of pencils (60/20 = 3 ) as well 5 packages of pens ( 60/12 = 5 ).
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Help with the picture
Answer:
(3x + 1)(x - 2) = 0
Step-by-step explanation:
move the 2 to the left to set the equation equal to 0
3x^2 - 5x - 2 = 0
factor out from here
(3x + 1)(x - 2) = 0
3) Round answer to the nearest hundredth. *
14 points
A right triangle has one leg with a length of 18 mm and a hypotenuse with a length of 82 mm.
What is the length of the other leg?
Your answer
Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg, [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm
3/4x-3=2/5 rewrite the equation without fractions
Answer:
0.75x - 3 = 0.40
Step-by-step explanation:
3/4 = 0.75, 2/5 = 0.40
what is something that multiplies everyday
Answer:
the amount of work my teacher gives me.
Step-by-step explanation:
i think its.......money most likey it is it gets bigger everyday
Which of the following list of sides would make a right triangle?
Answer:
(3,4,5) is the answer
Step-by-step explanation:
A new concrete courtyard will be 15' by 25' and will be filled to a depth of 3" (1/4 foot.) How many cubic yards, rounded to the nearest tenth, of concrete do you need?
The volume in cubic yards of concrete needed is 3.5 cubic yards
Calculating volumeFrom the question, we are to calculate the volume of concrete needed
From the given information,
A new concrete courtyard will be 15' by 25'
That is,
15 feet by 25 feet
Also, from the given information,
The concrete will be filled to a depth of 3" (1/4 foot.)
That is, 0.25 foot
First, we will convert the measurements to yards
NOTE: 1 foot = 1/3 yards
Thus,
15 feet = 15/3 yards = 5 yards
25 feet = 25/3 yards
0.25 foot = 0.25/3 yard = 1/12 yards
Thus,
Volume of concrete needed = 5 × 25/3 × 1/12
Volume of concrete needed = 125/36
Volume of concrete needed = 3.472 cubic yards
Volume of concrete needed ≈ 3.5 cubic yards
Hence, the volume in cubic yards of concrete needed is 3.5 cubic yards
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what is the solution to -6(3a+4)=3a-3
Answer:
a = -1
Step-by-step explanation:
-6(3a+4) = 3a-3
-18a-24 = 3a-3
-24+3 = 3a+18a
21a = -21
a = -21 ÷ 21
a = -1
help pleaseeeeeeeeeee
Answer: y=9
Step-by-step explanation:
Answer:
8 it gigi
Step-by-step explanation:
8. this o y 8u9 I 7f8d
I don’t know the answer please help !
Answer:
1. 24
2. 24
3. -24
4. -24
I don`t know why some of the answers are 10, I think those are just trick ones. The answers are only in 24s
Answer:
the first one is 24
the second one is 24
the third one is -24
the fourth one is -24
Step-by-step explanation:
the first one is a positive because two negative multiplied by each other make a positive. the second one 6 times 4 is 24:). and the third and fourth one,when there is a positive and and a negative multiplied by each other it will always become a negative. HOPE THIS HELPS have a good one:)
Katie works at a department store that sells shoes. She receives an employee discount for any shoes she buys at the store. If Katie paid $45.00 for a pair of shoes that was priced at $55.00, what percent discount did Katie receive on the shoes? Katie works at a department store that sells shoes. She receives an employee discount for any shoes she buys at the store. If Katie paid $45.00 for a pair of shoes that was priced at $55.00, what percent discount did Katie receive on the shoes?
Answer:
55-45=10 it's 10$ discount
[tex]\frac{10}{55}*100=18.19\%[/tex]
Step-by-step explanation:
Given m||n, find the value of x.
+
x
m
60°
Answer:
X = 60° (corresponding angles are equal )
plz help me with this...
Will give the brainliest
Urgent!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
Cuantos minutos hay en 4 horas
Answer:
240
Step-by-step explanation:
Answer:
240 minutos.
Step-by-step explanation:
How many minutes are in 4 hours. Multiply 60 by 4. 60x4=240 minutes.
Whats the answer for number 13?
Answer: option 3
Step-by-step explanation:
so you would do
-2=3(1)-5
-2=3-5
-2=-2
Ned washes dishes at a constant rate. Ned can hand-wash 18 dirty dishes in 3 minutes. Choose the graph that best
represents the number of dishes, d, Ned can wash in any number of minutes, t.
Answer:
what are the graphs
Step-by-step explanation:
tell me the graphs
certain disease has an incidence rate of 0.1%. if the false negative rate is 8% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive is infected is 0.0843.
Suppose the incident rate of a certain disease is 0.1 %.
The false negative rate is 8 % and the false positive rate is 1 %.
For a population of 100,00
There are 0.1 % infected = 100,00 × 0.1 % = 100
The population that is not infected is:
= 100,000 - 100 = 99900
The false negative rate is 8%, so the positive rate is 100 = 8 = 92%.
The population that is infected and has a positive result is:
= 100 × 0.92 = 92
The false positive rate is 1%.
The population that is not infected but has a positive result is:
= 99900 × 0.01 = 999
Therefore, the total positive results are:
= 92 + 999 = 1091
Therefore, the probability that a person who tests positive actually is infected is:
P ( infected / positive) = 92 / 1091 = 0.0843
Hence, the probability that a person who tests positive is infected is 0.0843.
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Daniel invests £2200 into his bank account.
He receives 10% per year simple interest.
How much will Daniel have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
£440
Step-by-step explanation:
10% of 2200 = 220
So, he gets 220 per year.
220 x 2 = 440
£440
Answer:
£440
Step-by-step explanation:
According to the question,
Daniel invests £2200 into his bank account and he receive 10% per year simple interest.
So, money he'll have after a year = 10% of 2200 = 220
Money he will have after two years = 220×2 = 440
So he will have £440 after two years
Can someone help me solve this question? | x-9 | +7 = 8
Answer:
x = 8
x = 10
Step-by-step explanation:
lx -9l + 7 = 8
lx - 9l + 7 - 7 = 8 - 7
lx - 9l = 1
Split into a positive and a negative case.
x - 9 = 1 and - (x - 9) = 1
Add nine to both sides
x - 9 + 9 = 1 + 9
x = 10
- (x - 9) = 1
Subtract 9 from both sides
- 8 = - x
Multiply both sides by negative 1
x = 8
"A student measures the length of a rectangularposter to the nearest centimeter and finds thatthe length is 75 cm. Another student measuresthe poster's width to the nearest tenth of acentimeter and finds that the width is 50.3 cm.How should the students report the area of theposter using the correct number of significantdigits?"
Answer:
See below
Step-by-step explanation:
The result of the calculation of area ( L x W ) should have no more significant digits than the lowest factor ....in this case 75 has only TWO significant digits...... the naswer should have the same ...two
75 * 50.3 = ~3800 cm^2
-2=-2/3x
write in standard form pls answer quick
Answer:
2x=6
Step-by-step explanation: