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tiny-mole [99]
3 years ago
14

Simplify the following cube root: cube root( 54x^6)

Mathematics
2 answers:
Mamont248 [21]3 years ago
5 0
9x^1 is the answer I believe
vlabodo [156]3 years ago
4 0

Answer:

3x²·\sqrt[3]{2}

Step-by-step explanation:

∛54x^6 = √(3)³ · 2 · x³ · x³  =  3x²· ∛2

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Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuad
laila [671]

Answer:

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=17 represent the sample mean

\mu population mean (variable of interest)

s=1.9 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_{\alpha/2}=2.262

Now we have everything in order to replace into formula (1):

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

4 0
3 years ago
14896 divided by 5280
Maksim231197 [3]
It goes in evenly 2 times
6 0
3 years ago
Read 2 more answers
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
yawa3891 [41]
Well, it goes 5 inches per second so after 4 seconds it is 4 times 5 =20 inches under the surface,  add that to 5 feet and you get 6 ft and 8 inches
5 0
2 years ago
Point B, located at (-4, -7), is reflected over the y-axis. What are the coordinates of B'?
strojnjashka [21]
(-4,7) answer A
if u reflect it over y axis
3 0
3 years ago
Read 2 more answers
A classroom has a presentation system that consists of four components, each of which must activate if the system is to work ade
Vikki [24]

Answer:

0.87

Step-by-step explanation:

According to the scenario, computation of given data are as follows,

As, each must be activated, this shows that components are in series.

So, we can calculate reliability of system by using following formula,

System reliability with components in series = System reliability 1 × System reliability 2 × System reliability 3 × System reliability 4

So, overall system reliability  = 0.97 × 0.99 × 0.97 × 0.93

overall system reliability = 0.866 or 0.87

8 0
3 years ago
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