~ ANSWER=1/2 ~
Simple probability is found by counting all the results which fit requirements and dividing by all possible results.
To find probability of two results in a row, multiply chance of first result by chance of second result.
Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.
There are 5 white marbles
There are 4 red marbles
There are always 20 marbles in all
5/20*4/20=1/4*1/5=1/20 or 1/2
By coincidence, the same as the chance of drawing the white marble in one draw.
Answer:
she lost 31 points
Step-by-step explanation:
23--8=-31
28-31=-8
1/3+2/9=1/6x-4/6
3/9+2/9=1/6x-4/6
5/9=1/9x-4/6
5=x-6
x=11
Answer:
The radius is decreatsing at a rate 0.78 cm per second.
Step-by-step explanation:
We are given the following in the question:
![\dfrac{dl}{dt} = 0.7\text{ cm per second}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdl%7D%7Bdt%7D%20%3D%200.7%5Ctext%7B%20cm%20per%20second%7D)
Instant radius,r = 2 cm
Instant length,l = 9cm
The radius of the cylinder decreases.
Volume of cylinder =
![V =\pi r^2l](https://tex.z-dn.net/?f=V%20%3D%5Cpi%20r%5E2l)
Since the volume of the cylinder does not changes, we can write:
![\dfrac{dV}{dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D0)
Rate of change of volume:
![\dfrac{dV}{dt} = \pi(2r\dfrac{dr}{dt}l + r^2\dfrac{dl}{dt})](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cpi%282r%5Cdfrac%7Bdr%7D%7Bdt%7Dl%20%2B%20r%5E2%5Cdfrac%7Bdl%7D%7Bdt%7D%29)
Puttiung values, we get
![0 = \pi(2(2)\dfrac{dr}{dt}(9) + (2)^2(0.7))\\\\\dfrac{dr}{dt}=-\dfrac{4\times 0.7}{4\times 9} \approx -0.78](https://tex.z-dn.net/?f=0%20%3D%20%5Cpi%282%282%29%5Cdfrac%7Bdr%7D%7Bdt%7D%289%29%20%2B%20%282%29%5E2%280.7%29%29%5C%5C%5C%5C%5Cdfrac%7Bdr%7D%7Bdt%7D%3D-%5Cdfrac%7B4%5Ctimes%200.7%7D%7B4%5Ctimes%209%7D%20%5Capprox%20-0.78)
Thus, the radius is decreatsing at a rate 0.78 cm per second.
Answer:
a. Qualitative.
b. Qualitative.
c. Quantitative.
d. Quantitative.
e. Qualitative.
Step-by-step explanation:
a.
Favorite color can be classified into different categories such as blue,orange, white etc, so, favorite color is a qualitative variable.
b.
Current Occupation can be classified into different categories such as teacher, lawyer and doctor etc, so, current occupation is a qualitative variable.
c.
Number of extra credit problems solved can be meaningfully presented as numerical figures so, number of extra credit problems solved is a quantitative variable.
d.
Number of students in class can be meaningfully presented as numerical figures so, number of of students in our class is a quantitative variable.
e.
Exam Grades can be classified into different categories such as A, B and C etc, so, exam grades is a qualitative variable.