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Natali [406]
3 years ago
11

Which expressions are equivalent to −f−5(2f-3) Choose all answers that apply

Mathematics
1 answer:
motikmotik3 years ago
8 0
The answer is -11f + 15
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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
2 years ago
What is the smallest two-digit prime that is the sum of three (not necessarily distinct) positive perfect cubes?
love history [14]

Answer:

17

Step-by-step explanation:

1+8+8=17\\1^3+2^3+2^3=17

6 0
3 years ago
Read 2 more answers
Four points are always coplanar if: Check all that apply. A. all of them are collinear B. they are not in the same plane. C. thr
pentagon [3]

They are collinear

they lie in the same plane

7 0
3 years ago
WILL GIVE BRAINLIEST
artcher [175]
You would half to take 8×(8×pi r squared)
7 0
3 years ago
What is the equation of a line that is perpendicular to the line that goes through the points (0, -3) and (-3, 12)?
Schach [20]
Hello,

Slope of the line passing through the points:
m=(12+3)(-3-0)=-5
Slope of the perpendicular: 1/5

==> Answer D.
3 0
3 years ago
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