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What is 0.8451542547285166 as a fraction

=203,253,121/240,492,336

Is 8239194821 ^100 possible I'm only in grade four sooo I wouldn't know

=3.8768340824283... × 10^991

How do you calculate the selling price that has been discounted by 15% from $485

$485 x 0.15 =$72.75 discounted amount @ 15%

$485 - $72.75=$412.25 - discounted selling price.

OR:

100% - 15% =85%

$485 x 0.85 =$412.25 - discounted selling price.

Oh...

I did not realize the ordered pairs are for this... :P

\(x = 40294\\ x\times y = 39492829\\ y = \dfrac{39492829}{40294}=980.116866\)

Use a calculator :P

Let X the random variable of the school scores \(X- N(30,8^2)\)

The first question is to calculate:  

\(P(X≤36)=P(\frac{X-30}{8}≤\frac{36-30}{8})=P(Z≤\frac{6}{8})=P(Z≤\frac{3}{4})=P(Z≤0.75)\)

\(Φ(0.75)=0.7734\)

 Thus the percentage is 77.34%

note that \(Z-N(0,1)\)

The second question asks to calculate 

\(P(36≤X≤44)=P(\frac{36-30}{8}≤\frac{X-30}{8}≤\frac{44-30}{8})\)

\(=P(\frac{3}{4}≤Z≤\frac{7}{4})=Φ(\frac{7}{4})-Φ(\frac{3}{4})\)

\(Φ(1.75)-Φ(0.75)=0.9599-0.7734=0.1865\)

Therefore the request percentage is 18.65%

 The third question refers to the 90th percentile. You have to define \(x_{0}\)

 that

\( P(X≤x_{o})=0.9\Rightarrow P(\frac{X-30}{8}≤\frac{x_{0}-30}{8})=0.9\)

\(⇒P(\frac{X-30}{8}≤\frac{x_{0}-30}{8})=0.9⇒Φ(\frac{x_{0}-30}{8})≤0.9⇒\frac{x_{0}-30}{8}=1.28\)

\(⇒x_{o}=40.24\)

This (and your previous similar question) are slightly unclear, as you don't specify what measure is to be used for "size".  If it's the relative areas that you are looking for then that is:  (7*10^5/2.3*10^8)^2 ≈  9.26*10^-6  (note the -6, not one 6th).

If by "size" you mean relative radii, then you don't need to square the ratio.

.

The displacement (in centimeters) of a particle moving back and forth along a straight line is given

by the equation of motion s = 3 sin(πt) + 4 cos(πt),

where t is measured in seconds. (Round your answers to two decimal places.)

Example for s = 2 sin(πt) + 3 cos(πt) :

??

what is that for?

7.43 of course is the greatest because all other numbers are smaller than 1.

then, we can easily see that 22/43 is slightly greater than 1/2 which is 22/44.

6/34 is smaller than 1/2.

12% is smaller than 1/2.

so 22/43 is the second greatest number.

then we compare 6/34 and 12%.

12% = 0.12

6/34 = 3/17 approximately equal 0.18 <--- use a calc.

so 6/34 is greater than 12%.

so in ascending order, 12%, 6/34, 22/43, 7.43

Thanks! ^.^

How would I evaluate this?

(1-cos^2(x))/(1-cos(x))

\(\begin{array}{|rcll|} \hline && \frac{1-cos^2(x)} { 1-cos(x) } \\ &&& \Big( 1-cos(x) \Big) \Big(1+cos(x) \Big) = 1-cos^2(x) \\ &=& \frac{\Big( 1-cos(x) \Big) \Big(1+cos(x) \Big)} { \Big(1-cos(x) \Big) } \\ &=& 1+cos(x) \\ \hline \end{array} \)

Remember to use pemdas.

This comes out to:

10 + 4(5) + 5 + (2)

10 + 20 + 5 + 2

37

In ascending order: 12%,  6/34,  22/43,  7.43

First, you'll want to turn all of these into fractions. That gives us \(22/43, 743/100, 6/34, 12/100\)

The next step is to get a common denominator. That would be 43*34*100 or 146200. Converting all of these fractions to this denominator gives \(74800/146200, 1086266/146200, 25800/146200, 17544/146200\)

Then, just sort by ascending order and convert back. 12%, 6/34, 22/43, 7.43.

Now, you may be thinking - this is overly complicated, right?

Well, you can do it another way. Since these are relatively distant numbers, we can simply get the decimal values for each by plugging them into a calculator.

This gives 0.511, 7.43, 0.176, and 0.12. Sort them and you'll have the right answer, but much more quickly.

(To convert percentages to decimals, just take the percentage out of 1. 12% of 1 is 0.12, 0.5% of 1 is 0.005, etc.)

Hope this helped!

1x-(.10x)=89501   how do you calculate the value of x

0.90x = 89,501    divide both sides by 0.90

x = 89, 501 / 0.90

x = 99,445.5556......

The answer is 37. 

7:4 walls = 10:8 people =M:40 minutes

M = (7/4) / (10/8) x 40

M = 56 minutes.

It takes 40 minutes for 8 people to paint 4 walls.

How many minutes does it take 10 people to paint 7 walls?

The solution should resolve to $39.84.

Melody and the obsequious Morgan Tud present two methods to solve this question. Melody’s method is straightforward and easier to understand. Tud derives a quadratic equation from the two relations. It’s a brilliant method, but not intuitive for most persons trying to solve these types of questions.