Expression: 80+15x=y
(x means months)
so at the end of the year jason will have $260
The compass was kept at the same width to create the acrs for points C and D. - Credit to XCUTE40
Answer:
It can travel 45 / 2 = 22.5 miles per gallon so the answer is 22.5 * 5.6 = 126 miles.
Answer:
A
Step-by-step explanation:
First, let's find the total volume of the cone by itself. The volume of a cone is givne by:
![\displaystyle V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
Since the radius of the cone is two inches and the height is three inches:
![\displaystyle V_\text{cone} = \frac{1}{3}\pi (2^2)(3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V_%5Ctext%7Bcone%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%5E2%29%283%29)
Next, find the volume of the sphere of bubble gum. The volume of a sphere is given by:
![\displaystyle V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Since the diameter of the bubble gum is 0.5 inches, the radius is 0.25 inches.
Therefore, the volume of the bubble gum is:
![\displaystyle V =\frac{4}{3} \pi (0.25^3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%20%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%280.25%5E3%29)
The amount of cone that will be filled with flavored ice will be the total volume of the cone minus the volume of the cone that will be filled with bubble gum. Therefore:
![\displaystyle \frac{1}{3}\pi (2^2)(3) - \frac{4}{3}\pi (0.25^3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%5E2%29%283%29%20-%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%280.25%5E3%29)
By letting π = 3.14:
![\displaystyle \frac{1}{3}(3.14) (2^2)(3) - \frac{4}{3}(3.14) (0.25^3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Cfrac%7B1%7D%7B3%7D%283.14%29%20%282%5E2%29%283%29%20-%20%5Cfrac%7B4%7D%7B3%7D%283.14%29%20%280.25%5E3%29)
Therefore, our answer is A.
Answer: The complete question is found in the attachment
Step-by-step explanation:
Law of large numbers: The probability of occurrence of an event becomes closer to the theoretical probability as the number of trials increases
P(an ace) = 1/6
= 0.1667
= 16.67%
a) In 600 rolls, the value will be close to 16.67. compared to 60 rolls
Greater than 20% interval doesn't include 16.67%. So, for more than 20% ace, 60 rolls is better.
b) More than 15% interval includes 16.67. So, it is better to roll 600 times
c) The interval between 15% and 20% include 16.67% and hence, 600 rolls is better
d) Larger number of trials is better to get exactly 16
So, 600 rolls is better