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3 years ago

The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

Answer:

<h2>Therefore the length of a side of a cube is $\sqrt[3]{64}\ or\ 4$ </h2>

Step-by-step explanation:

The volume of a cube is expressed as L³ where L is the length of each side of the cube.

Given volume of a cube = 64in³

On substituting;

64 = L³

Taking the cube root of both sides to determine L we have;

$\sqrt[3]{64} = (\sqrt[3]{L})^{3}\\\sqrt[3]{64} = L\\L=4$

Therefore the length of a side of a cube is $\sqrt[3]{64}\ or\ 4$

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my son had his 18 months visit to the doctor last week.the nurse took several measurement while we were there.his length(height)

nikitadnepr [17]

18 months ……33inches, weight 25.5 pounds

When he was born = 9 months…20 inches, weight 8, 4 pounds

Every 9 months his height growth is 33-20 = 13 inches, his weight is 25.5-8.4=17.1 pounds

<span>Pounds. This means, for every 9 months, his growth is 13 inches and his weight is 17.1 pounds. For example we can determine his growth in 3 years.</span>

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3 years ago

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

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3 years ago

How can a rational number and irrational number when multiplied together make a irrational number ?

pochemuha

Answer:

"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational

A better statement would be:

"The product of a non-zero rational number and an irrational number is irrational

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3 years ago