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Shkiper50 [21]
3 years ago
5

When calculating the volume of an object, why do the units end up being raised to the third power as in cm3?

Mathematics
1 answer:
VikaD [51]3 years ago
5 0
Because there are 3 units

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Abram needs to build a window frame. He needs 2 pieces of lumber that are feet long and 2 more that are feet long. How much lumb
satela [25.4K]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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What does y equal in the equation 4(2y-3)-2y=24?
makvit [3.9K]

Answer:

y=6

Step-by-step explanation:

4(2y-3)-2y=24

Distribute

8y -12 -2y = 24

Combine like terms

6y -12 = 24

Add 12 to each side

6y-12+12 =24+12

6y = 36

6y/6 =36/6

y = 6

3 0
3 years ago
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49
tiny-mole [99]

Answer:

The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.

This means that \mu = 125.32, \sigma = 49.51

Less than 50:

p-value of Z when X = 50. So

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

Z = \frac{50 - 125.32}{49.51}

Z = -1.52

Z = -1.52 has a p-value of 0.0643

More than 150

1 subtracted by the p-value of Z when X = 150. So

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

Z = \frac{150 - 125.32}{49.51}

Z = 0.5

Z = 0.5 has a p-value of 0.6915

1 - 0.6915 = 0.3085

The probability that his bill will be less than $50 a month or more than $150 for a single month is:

0.0643 + 0.3085 = 0.3728

The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.

3 0
3 years ago
A yo-yo factory has fixed operating costs of $2500 per day plus costs of $1.50 per yo-yo produced. If a yo-yo sells for $4.75, w
viktelen [127]
Hello there!!!
your answer will be <span>166.204210526 because $2500 divided by $4.75 is $526.31, and $526.31 x $1.50 is $789.47, and 789.47 divided by 4.75 is </span><span><span>166.204210526, </span>so that is your answer.
have a nice day. </span>



4 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
zloy xaker [14]

Answer: 10

Step-by-step explanation:

a 30° - 60° - 90° triangle has a side ratio of 1:√3: 2, meaning the side length across from the 30° is 1, the side length across from 60° is √3, and the side length across from 90° is 2

if you multiple the 1 * 5 = 5 (the 5 side length in the diagram), then also multiple (5 * √3 = 5√3) and (2 * 5 = 10)

since you're looking for the hypotenuse (the length across the 90°), the answer would be 10 (2 * 5 = 10)

*this method can work for any 30° - 60° - 90° triangle

you can also use trig:

sin (30°) = \frac{5}{x} (now just solve for x)

x * sin (30°) = 5

x = \frac{5}{sin(30)}

x = \frac{5}{1/2} ( because sin (30°) = 1/2 )

x = 5 * \frac{2}{1} = 10

*either method works!

7 0
2 years ago
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