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mrs_skeptik [129]
2 years ago
8

If the average of 12 numbers is 14 and the average of 4 of those numbers is 18, what is the average of the other eight numbers?

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0

(8 + X + Y)/3 = 12

multiply both sides of the equation by 3 to get 8 + X + Y = 36

subtract 8 from both sides of the equation to get X + Y = 28

So, the sum of the 2 missing numbers is 28

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Solve -7g - 2 = - 30. Show your steps.
lisabon 2012 [21]

Answer:

g = 4

Step-by-step explanation:

-7g - 2 = -30

Add 2 to both sides to get:

-7g -2+2 = -30+2

which is equal to:

-7g = -28

now divide both sides by -7 to get the value of g which is:

g = -28 / - 7

--> g = 4

8 0
3 years ago
Read 2 more answers
Evaluate:<br> 20<br> Σ 4(8/9)^n-1 = [?]<br> 1<br> Round to the nearest hundredth.
lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: a_n=ar^{n-1}

(where a is the first term and r is the common ratio)

Given:

\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}

Therefore:

  • a = 4
  • r = 8/9

<u>Sum of the first n terms of a geometric series</u>:

S_n=\dfrac{a(1-r^n)}{1-r}

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}

\implies S_{20}=32.58609013...

\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)                    

7 0
1 year ago
Read 2 more answers
Un11Mid
zaharov [31]
Hello!

You draw a table or write this out

If you pick vanilla you can get 4 different fruits

That is 4 different yogurts

If you pick chocolate you can choose 4 different fruits

Same for strawberry

So there are 12 different combinations

The answer is 12

Hope this helps!
5 0
3 years ago
The median of the following data will ________________________ when you in add a data value of 1? (DO MATH on paper!) 8, 9, 9, 4
svlad2 [7]

Answer:

B decrease

Step-by-step explanation:

First, lets put the numbers in order from greatest to least.

10 9 9 8 6 4 4

Second, let's find the median without number 1. (The median is in bold.)

10 9 9 8 6 4 4

Third, let's add the number 1.

10 9 9 8 6 4 4 1

Fourth, let's find the median with the number 1.

10 9 9 8 6 4 4 1

Since there are two numbers in the middle let's find the average between them.

8+6=14

14/2= 7

Last, let's compare the two medians.

8>7

So when you add the number 1 the median decreases. So your answer is B decrease

7 0
3 years ago
A number plus 1/3 of the number can be expressed as:
nirvana33 [79]

Answer:

n+n/3

Step-by-step explanation:

n+1/3 n=n+n/3=4n/3

Please mark as Brainliest! :)

Have a nice day.

6 0
3 years ago
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