All categories

3 years ago

If two numbers have arithmetic mean 2700 and harmonic mean 75, find their geometric mean

1 answer:

5 0

Hello,

Assume a and b the 2 numbers.

$\dfrac{a+b}{2}=2700\\
 \dfrac{1}{a} + \dfrac{1}{b}= \dfrac{2}{75}\\

a+b=2*2700\\\\

 \dfrac{a+b}{ab} = \dfrac{2}{75} ==\ \textgreater \ 75*(a+b)=2ab\\\\

2ab=75*2*2700\\\\

ab=75*2700=202500\\\\

\boxed{ \sqrt{ab} =450}\\

$

You might be interested in

mr. len is a teacher whose salary is $22,570 for this school year, which is 185 days. in mr.lens school district, substitute tea

Flauer [41]

The school district pays $80 less

5 0

4 years ago

Make r the subject of the formula in I=E/R+r

allochka39001 [22]

Step-by-step explanation:

$I = \frac{E }{ R} + r$

$I - \frac{ E }{ R} = r$

$\frac{I R -E }{ R} = r$

HOPE IT HELPS Y

8 0

2 years ago

Which set of ordered pairs ***represents*** a function?

aev [14]

Answer:

Step-by-step explanation:

the rest of them have 2 Y for 1 X

6 0

3 years ago

Suppose you want to draw a rectangle where the width is 7 inches less than the length and the diagonal is 2 inches longer than t

IrinaK [193]

The diagonal of a rectangle is:
d ^ 2 = w ^ 2 + l ^ 2
Where,
w: width
l: long
Substituting values we have:
(l + 2) ^ 2 = (l-7) ^ 2 + l ^ 2
Rewriting we have:
l ^ 2 + 4l + 4 = l ^ 2 -14l + 49 + l ^ 2
l ^ 2 -14l + 49 - 4l - 4 = 0
l ^ 2 -18l + 45 = 0
(l-15) (l-3) = 0
The solutions are:
l = 15
l = 3
The viable solution is:
l = 15
Thus, the width is:
w = l-7
w = 15-7
w = 8
Answer:
the dimensions of the rectangle are:
l = 15
w = 8

8 0

3 years ago

Property taxes are based on the value of the property

Svetllana [295]

Based on the calculations, the average selling price for these properties is equal to $127,865.

<h3>How to determine the average selling price?</h3>

Mathematically, the average selling price for these properties would be calculated by using the following formula:

Average price = [F(x)]/n

<u>Note:</u> The total number of properties is equal to 5.

Substituting the given parameters into the formula, we have;

Average price = [118,450 + 126,500 + 128,000 + 130,425 + 135,950]/5

Average price = 639,325/5

Average price = $127,865.

Read more on average price here: brainly.com/question/14409137

#SPJ1

<u>Complete Question:</u>

Property taxes are based on the value of the property. city officials use the average selling price of similar properties to estimate the value. the selling prices of similar properties are listed below. $118,450 $126,500 $128,000 $130,425 $135,950. What is the average selling price?

7 0

2 years ago