I have a number 30.92329219. Instead of writing this long irrational number how do I convert this into an exact whole number square root? The square root of this number is 5.560871532.

If I times 30.92329219 by itself 4 times I get 914414.0622 which is close to a whole number. If I write the square root of 914414/172 I get 5.559592833. Its close but not the exact value. If I do the square root of 31 I get 5.567764363 which is not the same either.

I don't want the answer but can...

Convert decimal into a square root number]]>

n=3

2 and 2

f(1)=-5]]>

Sorry if this is trivial question but it keeps bugging me and I can't find right approach.

I'm not sure how the value of the shape proportion should be stored but...

How to measure shape proportion]]>

I've been asked to find the solutions to 2sin(4x) = ±0.5, 0<x<π

The solutions must be in radians and I am to sketch a graph of the function with all relevant points. I have some idea with regards to solving it and I've attached a pic of my progress. I just need help finding the other solutions and drawing the sine graph.

Thank you kindly and much appreciated for your time.]]>

a)Check that:

P(X=x, Y=y)=1/6, (x,y) ∈ S={(x,y)∈ {1,2,3}×{1,2,3}:x+y≤4}.

b)Calculate the probability of...

Need help solving this problem]]>

I saw a formula on a website (Physics website about optics) and I cannot figure out how they obtained this equation (You can find in the attachment the variables I use) :

\(\displaystyle \dfrac{a+b-c}{\sin{(\alpha)} + \sin{(\beta)} -\sin{(\gamma)}} = \dfrac{c}{\sin{(\gamma)}}\)

I guess it is about the law of sines from which I can say that :

\(\displaystyle \dfrac{a}{\sin{(\alpha )}} + \dfrac{b}{ \sin{(\beta)} } - \dfrac{c}{\sin{(\gamma)}}= \dfrac{c}{\sin{(\gamma)}}\)

But I cannot see how...

Law of sines]]>

2

Hi, long time reader first time poster, just wondering how i go about simplifying this? Can it be done by hand or do i just use a calculator?

Sorry if ive put this in the wrong section but i didnt know where else to post it, tell me if i need to repost it in another thread.

Thanks to all replies in advance.]]>

a. What kind of s distribution does X have? (include all the values of the parameters)

b. Compute, P(X ≤ 3 ).

c. Calculate the mean and standard deviation of X.

d. Calculate the probability that X exceeds its mean value...

An electric store has received a shipment of 20 table radios that have connections for the iPhone.]]>

a. If a manufacturer inspects 15 shoes randomly, what is the probability that at most two shoes are defective?

b. If a manufacturer wants to find 6 non defective shoes, what is the probability that 12 shoes have to be inspected?

c. Find the expected number of inspected shoes to find 6 non defective shoes.]]>

Plz help with difficult math]]>

Q2. Find the 30th term of this arithmetic sequence 1/2, 1, 3/2, ...]]>