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3 years ago

The volume of a cube is 125mm3. What is the length of its side?

Mathematics

2 answers:

Anastaziya [24]3 years ago

8 0

Answer:

Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.

lord [1]3 years ago

4 0

Answer:

Step-by-step explanation:

just cube root the volume

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Which equation represents this number sentence?

olasank [31]

Answer:

The answer to your question is: the second option

Step-by-step explanation:

a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.

b) This is the right option, the sentence is given in the description.

c) This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.

d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.

4 0

3 years ago

To decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger a

Komok [63]

Answer:

The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

Step-by-step explanation:

Let the random variable X be defined as the height of chimneys in factories.

The mean height is, μ = 100 meters.

The standard deviation of heights is, σ = 12 meters.

It is provided that a random sample of n = 40 chimney heights is obtained.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Since the sample selected is quite large, i.e. n = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

$\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})$

Compute the probability hat the sample mean height for the 40 chimneys is greater than 102 meters as follows:

$P(\bar X>102)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}})>\frac{102-100}{12/\sqrt{40}})$

$=P(Z>1.05)\\=1-P(Z$

*Use a z-table fr the probability.

Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

8 0

3 years ago

A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of p

Katena32 [7]

Answer:

Number of plain cookie boxes sold = 785 boxes

Step-by-step explanation:

Given: Cost of a chocolate chip cookie box = $1.25

Cost of a plain cookie box = $0.75

Total number of boxes sold = 1585

Total cost of the sold boxes = $1588.75

Let, number of plain cookie boxes sold = x

Number of chocolate chip cookie boxes sold = 1585 - x

So,

Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes

$1588.75 = x ($0.75) + (1585 - x) ($1.25)

1588.75 = 0.75 x + 1981.25 - 1.25 x

0.5 x = 392.5

Therefore,

Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes

3 0

3 years ago

Read 2 more answers

A shoe store was having a back to school sale were you could buy 6 pairs of shoes for 52.62 If a large family decided to buy 3 p

Black_prince [1.1K]

Answer:

$26.31

Step-by-step explanation:

Since 3 is half of 6, 3 pairs of shoes would cost half the price.

So...

52.62/2=$26.31

6 0

2 years ago

1/4 as a fraction and a decimal

storchak [24]

Answer: 1/4 fraction .25 decimal

Hope this helps :)

8 0

2 years ago