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Marrrta [24]
2 years ago
13

A cube has side length a. The side lengths are decreased to 20% of their original size. Write an expression in simplest form for

the volume of the new cube in terms of a.
Mathematics
2 answers:
Verdich [7]2 years ago
7 0

Answer:

4/8 m if  it isn't there then it's 1/2 m

Step-by-step explanation:

Travka [436]2 years ago
3 0

Answer:

0.512a³ cubic units

Step-by-step explanation:

Given a cube of length, a, then when decreased by 20%, what's left is actually 80% of the original. So, for this case, we have a cube with a length of 80%(a) = 0.80a.

Now, to compute for the volume of a cube, we multiply the length three times to itself. Or, in other words, raise the length to the third power. That means the volume of the new cube is (0.8a)³ = 0.512a³ cubic units.

You might be interested in
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean
Dovator [93]

Answer:

B) 0.0069

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

Find the probability that their mean rebuild time exceeds 9.1 hours.

This is 1 subtracted by the pvalue of Z when X = 9.1. So

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

By the Central Limit Theorem

Z = \frac{9.1 - 8.4}{0.2846}

Z = 2.46

Z = 2.46 has a pvalue of 0.9931

1 - 0.9931 = 0.0069

So the answer is B.

6 0
3 years ago
You plan on taking a 1170 mile long trip in your car, which average 19.5 miles per gallon. About how many gallons of gas will yo
kiruha [24]
171 dollar because 1170 divde by 19.5 is 60 times 2.85 is 171
8 0
3 years ago
Read 2 more answers
Math (not too hard answer asap) :)
Katena32 [7]

Answer:

  • A and C

Step-by-step explanation:

  • A. 134 is the mode, correct, repeated 5 times
  • B. 111 is appears 3 times, incorrect , this number is not part of data set
  • C. There are more data values between 130 and 139, correct, there are 8 of them
  • D. There are 20 data values, incorrect , there are 23
3 0
2 years ago
3/4 divided by 15/28 whats my answer
dalvyx [7]
(3/4) / (15/28) = (3*28) / (4*15) = 84/60 = 42/30 = 21/15 = 7/5
7 0
3 years ago
Read 2 more answers
**ANSWER ASAP**
spayn [35]
They do all EXCEPT D, but the best answer is A because one can solve the system of equations this way
7 0
2 years ago
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