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Roman55 [17]
2 years ago
6

The volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. What is the volume of a cube with s

ide 4 inches?
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
6 0

Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,

Volume of the cube = (4 in)³ = 64 in³

Hence, the volume of the cube with side length of 4 inches is 64 inches³.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

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How many 1/8 make a 1/4?
Dmitry_Shevchenko [17]

Answer:

2

Step-by-step explanation:

1/8+1/8= 2/8=1/4

8 0
3 years ago
Read 2 more answers
Convert 7 kilometers into miles
ladessa [460]
4.3496 miles.

HTH (Hope This Helps)
6 0
3 years ago
In a pacemaker factory, all pacemakers must go through a rigorous quality assurance check before being shipped. The table shows
Len [333]

Answer:

16.1%

Step-by-step explanation:

5 0
2 years ago
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta
nikklg [1K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • 1,190 adults were asked, hence n = 1190
  • In fact 62% of all adults favor balancing the budget over cutting taxes, hence p = 0.62.

The mean and the standard error are given by:

\mu = p = 0.62

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141

The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.59 - 0.62}{0.0141}

Z = -2.13

Z = -2.13 has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Help me asap please
iren [92.7K]

A(-3, -1); B(2, -1), C(2, 3)

You can read the length of AB and BC.

|AB| = 5

|BC| = 4

Use the Pythagorean theorem:

|AC|^2=5^2+4^2\\\\|AC|^2=25+16\\\\|AC|^2=41\to|AC|=\sqrt{41}\\\\|AC|\approx6.4

The perimeter:

P=|AB|+|BC|+|AC|\\\\P=5+4+6.4=15.4

7 0
3 years ago
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