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masya89 [10]
3 years ago
11

What happens when you square a cubed root or cube a square root and problems like these. Show examples.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
Cube root of any value x means the power of or exponent of 1/3 of x.
X^1/3
if you square it,
the power of a power is multiplied according to exponent laws.
Hence,
===> (X^1/3)^2
         = X^2/3

Now,
Square root of any value x means the power of or exponent of 1/2 of x.
X^1/2
if you cube it,
the power of a power is multiplied according to exponent laws.
<span>Hence,
</span>===> <span>(X^1/2)^3
</span>         <span>= X^3/2
Hope it helps</span>
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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and
yarga [219]

Answer:

Less than 3.6 years.

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.

Mean of 5.8 years, and  standard deviation of 1.7 years.

This means that \mu = 5.8, \sigma = 1.7

The 10% of items with the shortest lifespan will last less than how many years?

Less than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

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

-1.28 = \frac{X - 5.8}{1.7}

X - 5.8 = -1.28*1.7

X = 3.6

Less than 3.6 years.

4 0
3 years ago
A cellular phone company charges $37 a month plus a $19 activation fee. How much would it cost for 7 months of service?
m_a_m_a [10]

Answer:$278

Step-by-step explanation:

You would do $37+ $19 for the first month=$56

Then 37x6 for the next months=$222

And then add them together to get $278

6 0
4 years ago
Read 2 more answers
Drag the numbers below to put them in order from least to greatest:
yuradex [85]

Answer:

The numbers in order from the least to greatest are

2.291      2.276      2.221        2.26        2.14        2.2  

Step-by-step explanation:\

Just like fractions, decimals are worth less the more there is...

4 0
3 years ago
The total interest on a 5 year 5.2% loan with a principal of $10,000 is 10,000 × 0.052 × 5 = $2,600.
Mrrafil [7]

Answer:

True

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.2%/100 = 0.052 per year,

then, solving our equation

I = 10000 × 0.052 × 5 = 2600

I = $ 2,600.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 5.2% per year

for 5 years is $ 2,600.00.

6 0
3 years ago
Expression is equivalent to 6(3n-4)
deff fn [24]

Step-by-step explanation:

6(3n - 4)

= 6(3n) - 6(4) (by distributive law)

= 18n - 24.

3 0
3 years ago
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