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3 years ago

What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

Mathematics

1 answer:

NeX [460]3 years ago

7 0

Answer:

letter C: 100

Step-by-step explanation:

This problem can be configured as an arithmetic progression:

The first value is 10, the ratio is also 10 (the multiples of ten are 20, 30, 40, ...) and the number of terms is 19 (10, 20, 30, ... , 180, 190 -> total of 19 numbers).

So, we can use the following formula to calculate the sum of all these numbers:

Sn = n(a1 + an) /2

where Sn is the sum, n is the number of terms, a1 is the first term and an is the last one.

The result we want is the average of the sum, so we need to divide Sn by n:

Average = Sn/n = n(a1 + an) /2n = (a1 + an) /2 = (10+190)/2 = 200/2 = 100

The correct option is letter C.

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joja [24]

Answer:

55.5 u^2

Step-by-step explanation:

Split the quadrilateral into 2 triangles. There are two ways to do this, but I'm only doing one of them.

On the 5-11 triangle, use the two of the lengths and plug them into the triangle area formula. (L x W)/2 = A

5-11 triangle area: 27.5

Do the same for the 7-8 triangle. Plug it into the same formula.

7-8 triangle area: 28

Add the two areas. 27.5 + 28 = 55.5

8 0

3 years ago

If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?

LuckyWell [14K]

Answer:

RM = 12 cm

Step-by-step explanation:

$a^{2} + b^{2} = c^{2}$

Assuming 20 is the hypotenuse cus there is no picture:

$a^{2} + 16^{2} = 20^{2}$

$a^{2} +256 = 400$

$a^{2} = 144$

$a=144$

If It's not the hypotenuse:

$16^{2}+ 20^{2} =c^{2}$

$256+400 =c^{2}$

$656=c^{2}$

$c = 25.61249695$

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

5 0

3 years ago

Two lawn care companies are competing for a landscaping contract. Company A charges a $5 daily consulting fee plus $8 per square

gladu [14]

5 + 8s = 15 + 3s
8s - 3s = 15 - 5
5s = 10
s = 10/5
s = 2 <=== they will charge the same at 2 sq ft

8 0

3 years ago

The product of a and the sum of a and 34?

Arlecino [84]

A times 34 idfbutcgnjytfxvhitd

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3 years ago

A salesperson's commission rate is 6%. What is the commission from the sale of 42,000 worth of furnaces? Use pencil and paper

pickupchik [31]

Answer:

42,000 X 6 % = $2520.00

42,000 x 2 = 84,000

84,000 x 6% = $5,040

Step-by-step explanation:

3 0

2 years ago