First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be<span> (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20</span>
Answer:
10 cm
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
The volume of a cone is given by the formula ...
V = 1/3πr²h
The ratio of the volume of the cone to that of the sphere is ...
Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)
In order for the ratio to have a value of 1, we must have ...
h = 4r
The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.
The solution would be like
this for this specific problem:
189 x .0688
= 12.8 + 189 = 201.8<span>
(4 x 360)
x .06 = 86.4
(29 x 2)
+ 86.4 = 144.4
201.8 +
144.4 = $346.2</span>
I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.