The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.
What are 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. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .
According to the Property of Closure, A set has the closure property under a particular operation if the result of the operation is always an element in the set. If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”
Hence , the set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.
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Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters
Answer:
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Step-by-step explanation:
The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Reason -
Option A is incorrect because the statistics can not be incorrect.
Option B is incorrect because they are not talking about the city.
Option C is correct because Urban rail reduces congestion.
Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.
Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.
First correct answer will get Brainliest - due today
Dora has three candles, which will burn for 3, 4 and 5 hours, respectively. If she wants to keep two candles burning at all times, what is the greatest number of hours she can burn the candles? (Dora has a clock that she can use to time the candles.)
Answer:
3 hrs 38.2 min, Candle 2 will be three times the length of candle 1
Step-by-step explanation:
If Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
Dora has three candles, which will burn for 3, 4, and 5 hours,
The combination of the hours of burning,
3 + 4 = 7 hours
4 + 5 = 9 hours
3 + 5 = 8 hours
Thus, if Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.
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Help me fast plsssss
Answer:
B. 78.5cm²
Step-by-step explanation:
Area of circle:
[tex]\pi[/tex]r²=[tex]\pi[/tex]10²=314.16
Area of shaded part:
314.16/4=78.54
I don’t understand and need help please.Thank you
Answer:
yes
Step-by-step explanation:
nice
It snowed 3.4 inches on Monday and 2.92 inches on Tuesday. How much did it snow on Monday
and Tuesday combined?
Answer:
6.32 in.
Step-by-step explanation:
2.92 + 3.4 = 6.32
Answer: 6.32 inches
.........................
Nate downloaded a free virus detection program, which reported that his computer is infected with a virus. The editors of a tech magazine reviewed the effectiveness of the free program by running it on 500 computers, with 8% of those computers known to be virus-infected. Their findings are summarized in the two-way table. Virus Reported Virus not Reported Infected 28 12 Not Infected 94 366 Which statement is supported by the data? A. The magazine's review suggests Nate should trust the program's report because the probability that the scan result is a false positive is only 7.11%. B. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%. C. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 22.95%. D. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 92.89%.
Answer: 77.05%
Step-by-step explanation:
.
The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%.
From the question we are told that:
Sample size n=500
Know Virus infection r=8\%
The data can be represented in the Table below a
[tex]\begin{tabular}{lllll}S/N & Reported & Not reported & Total \\Infected & 28 & 12 & 40 \\Not Infected & 28 & 36&460\\Total &122&378&500\\\end{table}[/tex]
Therefore the False Positive can be Mathematically represented as
[tex]FP=\frac{94}{122}[/tex]
[tex]FP=0.7705[/tex]
[tex]FP=77.05\%[/tex]
In conclusion we can say that The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%
Therefore
Option B is correct
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someone please help me
If the interest 4,000 for 4 years is 1,280 what is the interest rate
Answer:
For example, with a $4,000 deposit and an annual interest rate of 8 percent, the simple interest after four years would be $1,280. This is calculated by multiplying the principal (P) by the rate (R) and by the rate of time (T): 4,000 x 0.08 x 4 = 1,280.
Step-by-step explanation:
I hope the answer help you
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
Answer:
g=64
Step-by-step explanation:
(144+6×8)÷3=g
144+48/3=g
192/3=g
64=g
g=64
Answer:
g = 64
Step-by-step explanation:
(144 + 6 * 8) / 3 = g
g = (144 + 6 * 8) / 3
g = (144 + 48) / 3
g = 192 / 3
g = 64
a class of 225 students,80 of them study Arabic only and 125 study french only. How many study both subjects.(venn diagram)
Answer:
20
Step-by-step explanation:
225-80=145
145-125=20
3(x+6)=24 I need help to find x
Answer:
[tex]\boxed{\bold{x \ = \ 2}}[/tex]Explanation:
3(x + 6) = 24
Simplify both sides of the equation3(x + 6) = 24
(3)(x) + (3)(6) = 24 (Distribute)
3x + 18 = 24
Subtract 18 from both sides3x + 18 − 18 = 24 − 18
3x = 6
Divide both sides by 33x / 3 = 6 / 3
[tex]\bold{x \ = \ 2}[/tex]Answer:
x = 2
Step-by-step explanation:
Remeber this rule: PEMDAS
Even though parantheses comes first, we must take away 3 By dividing (since 3 is currently multiplying with x+6). Picture it like a ‘tail,’ and you must take the tail away first. so it would look like this:
3 ÷ 3 (x+6) = 24÷3
3 ÷ 3 cancels out, and 24 ÷ 3 equals 8, so now your equation becomes:
x + 6 = 8
now, we subtract 6 (since it is adding with x)
x + 6 - 6 = 8 - 6
positive 6 and negative 6 (aka 6-6) cancel out, and 8 - 6 = 2, so x = 2
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55 Points | Giving Brainliest To Correct Answer | Please Give Explanation | Reporting Incorrect Answers
Answer:
numbef 1 false because one dot equals two students
number 2 flase because all the dots add up to 21 and for eight students there are 4
number 3 true because the amount is eight students and on 7 inches the are four students
you have on your own or just share your thoughts about it in the comments then i can come up with something.
Answer: the answer is A
Step-by-step explanation:
Who can solve and attach a pic so I can write down how I got the answer
HELP HELP HELPPPPP PLEASEEE
Answer:
A
Step-by-step explanation:
1/2f
Answer:
A
the first option
Step-by-step explanation:
choices:
x=360-114
x=114-90
360=x +90+114
Answer:
see explanation
Step-by-step explanation:
The sum of the angles around D = 360° , then
x = 360 - (114 + 90) ← equation to find x
= 360 - 156
= 204
**EASY**
Determine the intercepts of the line -
2x + 5y = -6
Y-intercept: (_ , _)
X-intercept: (_ , _)
help me please this is due in a couple minutes
Answer:
v=0.79x+3.99
f=1.89x+5.49
combined cost: 2.68×+9.48
i need help with sum of my algebra hw assignments
Answer:
B
Step-by-step explanation:
Those lines both make up the tip of the triangle figure...
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Answer:
the equation used to determine male and female athletes can be C.x+y=127
x=y+23
Answer:
c
Step-by-step explanation:
Which order pair could represent the location of point h
5 grams =
centigrams
Answer:
500
Step-by-step explanation:
a centigram is 100 so 5x100=500
Answer:
Its____, you multiply the mass by 100, because its twice as many centigrams-
Step-by-step explanation:
okay so 5grams times 100centigrams is 500centigrams
Theirs your awnser yw
500 is your awnser :)))))The radius of the Ferris wheel is shown. Which is the circumference of the Ferris wheel, rounded to the nearest foot?
Answer:
785 ft
Step-by-step explanation:
Please find attached an image of the Ferris wheel used in determining the answer to this question
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2nr
n = 3.14
r = radius
2 x 3.14 x 125 = 785 ft
Solve for x. The triangles in each pair are similar.
Answer:
...............................
Here's a problem for you to try.
Find the sum and express it in simplest form.
(2x² + 3x - 4) + (x²-x-2)
Enter the correct answer.
OOD
DONE
Clow all
ĐOO
2\0.1 x 10\10 = it would help me a lot
Answer:
The answer is1 thank you
The average speed of an airplane is 550 miles per hour.
Create an equation to represent the distance, d, in miles, that the airplane travels after t hours at the average speed.
Answer:
3300mi ÷ 550 mi/hr =6 hours
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PLEASE GIVE ME A GOOD ANSWER FOR THIS PAGE THIS WILL BE 25 PT AND HOPEFULLY IF SOMEONE IS NICE ENOUGH to put a second answer so I can give a brainliest ^-^
Answer:
Wait where's the question?
48 ? (-8) = (-6) please help with this
Answer:
Division sign
Step-by-step explanation:
HELP WILL GIVE BRainlist 20 points
Answer:
11. x = 5
12. x = 24
Step-by-step explanation:
11.
8x° + 140° = 180°
(Linear pair angles)
8x° = 180° - 140°
8x° = 40°
x ° = 40°/8
x° = 5°
x = 5
12.
2x° + 42° = 90°
(complementary angles)
2x° = 90° - 42°
2x° = 48°
x ° = 48°/2
x° = 24°
x = 24
Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct
Answer:
x = 1.5
Step-by-step explanation:
Here, we want to get what x is
To arrive at the answer for x, we are going to use an important circle theorem equation
We have this as;
lh^2 = lj * lk
from the question;
lh = 1
lj = 0.5
lk = (0.5 + x)
Thus;
1^2 = 0.5(0.5 + x)
1 = 0.25 + 0.5x
0.5x= 1-0.25
0.5x= 0.75
x = 0.75/0.5
x = 1.5