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SpyIntel [72]
2 years ago
5

What’s the difference between numbers that are to the power of with parentheses and no parentheses. For example (-2/5)^3 and -2/

5^3. Please explain this rule and thank you.
Mathematics
1 answer:
Verdich [7]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

The first one 'cubes' the denominator AND the numerator:

(-2/5)^3  = -2/5  * -2/5  * -2/5 =  -8/125

The second one 'cubes' only the denominator:

-2/5^3  = -2 / (5 * 5 * 5) =  - 2 / 125

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Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variabi
wolverine [178]

Answer:

As the sample size increases, the variability decreases.

Step-by-step explanation:

Variability is the measure of actual entries from mean.  The less the deviations the less would be the variance.

For a sample  of size n, we have by central limit theorem the mean of sample follows a normal distribution for random samples of large size.

X bar will have std deviation as \frac{s}{\sqrt{n} }

where s is the square root of variance of sample

Thus we find the variability denoted by std deviation is inversely proportion of square root of sample size.

Hence as sample size increases, std error decreases.

As the sample size increases, the variability decreases.

7 0
3 years ago
Need now for study guide
likoan [24]

Answer:

17 cm.

Step-by-step explanation:

Because 12 cm + 5 cm. is 17  cm.

8 0
3 years ago
Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.
ZanzabumX [31]
We will use the equation 74.06-56.48=? To find the change in prices, aka how much more money was spent. That equals 17.58. So A, Michael spent $17.58 more than Denise.
3 0
3 years ago
Read 3 more answers
"A cylindrical canister contains 3 tennis balls. Its height is 8.75inches, and its radius is 1.5. The diameter of one tennis bal
puteri [66]
----------------------------------------------
Find Volume of 1 tennis ball:
----------------------------------------------
Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³

Volume of 1 tennis ball = 8.18 in³

----------------------------------------------
Find Volume of 3 tennis balls:
----------------------------------------------
Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³

----------------------------------------------
Find Volume of teh cylindrical canister:
----------------------------------------------
Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)

Volume of the cylindrical canister = 52.99 in³

----------------------------------------------
Find unoccupied space:
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Unoccupied space = 52.99 - 24.54

Unoccupied space = 28.45 in³

----------------------------------------------
Answer: 28.45 in³
----------------------------------------------


8 0
3 years ago
Read 2 more answers
What is the x-intercept for the following linear equation:
Alexandra [31]
The "x-intercept" occurs when y=0, because it is at this point that the equation touches the x axis.  So if you plug in y=0 into the equation you can solve for the x coordinate.

4x-2(0)-8=0

4x-8=0

4x=8

x=2

So the x-intercept is the point (2,0)
3 0
3 years ago
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