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AysviL [449]
3 years ago
6

Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.

Mathematics
2 answers:
Alja [10]3 years ago
7 0
This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.
Maslowich3 years ago
6 0

Answer:

189

Step-by-step explanation:

1. Formula

A(n) = a + (n - 1)d

term number: n

first term: a

common difference: d

2. Solve

A(n) = 9 + (31 - 1)6

31 - 1 = 30

A(n) = 9 + 30 x 6

30 x 6 = 180

A(n) 9 + 180 = 189

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Step-by-step explanation:

1) A= 8w + 18, w=1.25

A = 8(1.25) + 18

A = 10 + 18

A = 28ft^2

2) 25 points to start with, additional 5 points per magazine they sell, m = number of magazines they sell

total points = 25 + 5m

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total = 25 + 5(6)

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4 0
2 years ago
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Jet001 [13]

Answer:

It just means that it is not equal to each other so the equation is false.

Step-by-step explanation:

The equal sign with a line through it means that they aren't the same. -12 is a different number from 12 so they can't end up being the same in the end of the equation.

Hope this helps!

5 0
3 years ago
The diameter is 10ft what is the radius
inessss [21]

Radius- 5

The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.

3 0
2 years ago
Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t
NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

5 0
3 years ago
Pls help! will give brainlist!
Vika [28.1K]

Answer:

A. 60°

Step-by-step explanation:

There's a very straight-forward explanation for this, thank god! XD

For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.

180-120 = 60

60 is your answer because it completes the whole angle.

4 0
3 years ago
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