So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches
so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"
now, what's the linear velocity, namely, the arc covered per minute
well
![\bf v=rw\qquad \begin{cases} v=\textit{linear velocity}\\ r=radius\\ w=\textit{angular velocity}\\ ----------\\ r=18in\\ w=1302\frac{\pi }{min} \end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min} \\\\\\ v=\cfrac{23436\pi\ in}{min}](https://tex.z-dn.net/?f=%5Cbf%20v%3Drw%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Av%3D%5Ctextit%7Blinear%20velocity%7D%5C%5C%0Ar%3Dradius%5C%5C%0Aw%3D%5Ctextit%7Bangular%20velocity%7D%5C%5C%0A----------%5C%5C%0Ar%3D18in%5C%5C%0Aw%3D1302%5Cfrac%7B%5Cpi%20%7D%7Bmin%7D%0A%5Cend%7Bcases%7D%5Cimplies%20v%3D18in%5Ccdot%20%5Ccfrac%7B1302%5Cpi%20%7D%7Bmin%7D%0A%5C%5C%5C%5C%5C%5C%0Av%3D%5Ccfrac%7B23436%5Cpi%5C%20in%7D%7Bmin%7D)
now, how much is that in miles/hrs? well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr
thus
![\bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B23436%5Cpi%5C%20in%7D%7Bmin%7D%5Ccdot%20%5Ccfrac%7Bft%7D%7B12in%7D%5Ccdot%20%5Ccfrac%7Bmi%7D%7B5280ft%7D%5Ccdot%20%5Ccfrac%7B60min%7D%7Bhr%7D%5Cimplies%20%5Ccfrac%7B23436%5Ccdot%20%5Cpi%20%5Ccdot%2060%5C%20mi%7D%7B12%5Ccdot%205280%5C%20hr%7D)
notice, after all the units cancellations, you're only left with mi/hrs
A study of 600 college students taking statistics 101 revealed that 54 students received the grade of
a. Typically 10% of the class gets an A
b. The difference between this group of students and the expected value is not significant at the 0.05 level. what does this mean in this case?
Your answer would mean that, =====> The probability of getting an A is 10% and only 9% got an A, in this study. The difference is less than 5% therefore, in this case, it is not significant.
Hope that helps!!!! : )
Answer:
-5
Step-by-step explanation:
<h2>Explanation</h2><h2></h2><h2>He can use the 2 pennies in 3 ways, take none, take 1 or take 2</h2><h2>He can use the 3 nickels in 4 ways, take none, take 1, etc</h2><h2>the dime in 2 ways,</h2><h2>and the quarters in 3 ways</h2><h2 /><h2>total number of ways = (3)(4)(2)(3) = 72</h2><h2>but that includes taking none of any coins,</h2><h2 /><h2>so number of ways to use the coins is 71</h2><h2 /><h2>Here is a little silly computer program that finds and lists all the possible sumes</h2><h2 /><h2>10 for p = 0 to 2</h2><h2>20 for n = 0 to 3</h2><h2>30 for d = 0 to 1</h2><h2>40 for q = 0 to 2</h2><h2>50 sum = p+5*n+10*d+25*q</h2><h2>60 print sum,</h2><h2>70 next q</h2><h2>80 next d</h2><h2>90 next n</h2><h2>100 next p</h2><h2>>run</h2><h2>0 25 50 10 35 60 5 30 55 15 40 65 10 35 60 20</h2><h2>45 70 15 40 65 25 50 75 1 26 51 11 36 61 6 31</h2><h2>56 16 41 66 11 36 61 21 46 71 16 41 66 26 51 76</h2><h2>2 27 52 12 37 62 7 32 57 17 42 67 12 37 62 22</h2><h2>47 72 17 42 67 27 52 77</h2><h2 /><h2>Notice there are duplications,</h2><h2>e.g. picking 2 nickels or 1 dime yields the same sum</h2><h2 /><h2>All you have to do is eliminate all duplications, and not count the 0</h2><h2>I think there are 47 or them</h2>