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2 years ago

Find the side length of a cube with a volume of 166 m

1 answer:

8 0

The answer is 5.5 m.

Cube
Volume = length x width x height

Since the length, width and the height are the same in cube, the formula can be:

Volume = length^3

Let x metres be the side length of the cube.

166 = x^3

x = ∛166

x = 5.495864.....

x = 5.5 (nearest tenth)

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defon

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3 years ago

Read 2 more answers

If 9a+6b+4c=7, what is -24b-16c-36a

zheka24 [161]

Rearrange the 2nd equation

-36a-24b-16c

divide the whole thing by 4 and you'll get
-9a-6b-4c

you'll realize it looks the same as your first equation except that all the + has become minus so the answer will be -7 instead for your new equation
-9a-6b-4c=-7

multiply the whole thing by 4 and you'll get
-36a-24b-16c = -28

so the answer you want is -28

6 0

3 years ago

Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's ad

hammer [34]

Answer:

Average (additional) income = 100 - 50/x

Step-by-step explanation:

Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands

Ryan's additional average income = Income / Quantity of watches sold

(100x - 50) / x

= 100 - 50/x

6 0

2 years ago

Math am I right, well i need this asap. thanks for all the help!

monitta

Answer:

Step-by-step explanation:

5 0

2 years ago

The data given below contain the state cigarette taxâ€‹ (in $) for all 20 regions of a country.

g100num [7]

Answer:

(a) $\bar x= 1.583$ -- Population Mean

(b) $s = 1.032$ --- Population standard deviation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

$\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84$

$\sum x = 31.66$

$n = 20$

So, we have:

$\bar x= \frac{31.66}{20}$

$\bar x= 1.583$

Solving (b): The population standard deviation

This is calculated as:

$s = \sqrt{\frac{\sum( x - \bar x)^2}{n}$

$\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2$

$\sum (x -\bar x)^2 = 21.29222$

So:

$s = \sqrt{\frac{21.2922}{20}$

$s = \sqrt{1.06461}$

$s = 1.032$

Solving (c):

Population mean tells the average amount while the standard deviation represents the spread from the calculated mean

Option (4) is correct

6 0

3 years ago