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Anna35 [415]
3 years ago
6

What is the common difference of the following arithmetic sequence? 120, 108, 96, 84, ...

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

-12

Step-by-step explanation:

120-108 = -12

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if 368 teenagers in a population of 4,310 report that they have smoked at least one cigarette during the past year, to one decim
allochka39001 [22]
Divide the amount of teenagers that smoked by the total population:

368 \div 4310 = 0.0853

Multiply this decimal by 100 to convert into a percentage:

0.0853 \times 100 = 8.53

To round to the nearest decimal place, look at the hundredths value:

8.53
3 > 5
8.53 -> 8.5

8.5% of teenagers reported that they smoked at least one cigarette.
4 0
3 years ago
Three times a number decreased by 5 equals 10. Write the equation and find the number.
damaskus [11]

Answer:

3x - 5 = 10

Step-by-step explanation:

5 0
3 years ago
What set of transformations is performed on triangle ABC to form triangle A′B′C′? (4 points)
fenix001 [56]

Answer:

i am on this exact question and i am confused myself because it seems like the answer should be "180 degree rotation with a translation of 5 units to the right" but that is not an option :/ so my best guess is either A or D hope this helps at all

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
can anyone help me with this ??
Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

A.

P(n, r) = P(8, 3)

Formula for Permutation is given as:

P(n, r) = \dfrac{n!}{(n-r)!}

Putting the value of n = 8 and r =3 , we get:

P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

C.

P(n, r) = P(7, 2)

Formula for Permutation is given as:

P(n, r) = \dfrac{n!}{(n-r)!}

Putting the value of n = 7 and r = 2 , we get:

P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42

D.  Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

4 0
3 years ago
The collection of all possible sample points in an experiment is
son4ous [18]

Answer:

The Answer is Sample Space

Step-by-step explanation:

3 0
3 years ago
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