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Viefleur [7K]
3 years ago
11

What is the square root of 164

Mathematics
2 answers:
mote1985 [20]3 years ago
4 0
I believe it is 12.8.
Naily [24]3 years ago
4 0
The correct answer is 12.8062484749
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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6
nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=1.6)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.99=0.01 and \alpha/2=0.005  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 2.58  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And we have everything to replace into the formula:  

n=(\frac{2.58(1.6)}{0.1})^2 =1704.03  

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=0.1 mm is n=1705.  

6 0
3 years ago
Can someone help me with number 8 plz
statuscvo [17]
We have the following equation:
 h (t) = - 16t ^ 2 + 161t + 128
 We substitute the value of h (t) = 170:
 170 = -16t ^ 2 + 161t + 128
 We rewrite the equation:
 -16t ^ 2 + 161t + 128 - 170 = 0
 -16t ^ 2 + 161t - 42 = 0
 We look for the roots of the equation:
 t1 = (161/32) + root (23233) / 32
 t2 = (161/32) - root (23233) / 32
 Answer:
 
The object is 170 feet off the ground at the following times:
 
t1 = (161/32) + root (23233) / 32
 
t2 = (161/32) - root (23233) / 32
7 0
3 years ago
What is the parent function of 15-6x squared over 2
Viktor [21]
The parent function of any a quadratic function is y=x^2
6 0
3 years ago
Read 2 more answers
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
Roman55 [17]

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Hope this helped!

6 0
3 years ago
Read 2 more answers
The length of a store is 21 2/3 feet, and the area is 325 square feet, what is the width of the store?
Julli [10]
325 divided by area 21 2/3. always area divided by length
4 0
3 years ago
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