Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter 
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14
Answer:
Susan makes 5 fruit cups
each fruit cup has 5 strawberries and 3 kiwis
so the number of strawberries used is - 5 x 5 = 25 strawberries
and the number of kiwis used - 5 x 3 = 15 kiwis
so the total number of fruits - 25 + 15 = 40 fruits
Joanna uses 40 fruits to make 4 fruit cups
each cup she uses 8 strawberries
therefore total number of strawberries she uses - 8x 4 = 32 strawberries
she has 40 fruits in total and 32 of those are strawberries
the rest are kiwis
number of kiwis = 40 -32 = 8
8 kiwis are there and she has to make 4 cups
so for each cup number of kiwis = 8 / 4 = 2
so each cup has 2 kiwis
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
The volume of a sphere is as follows: (4/3) * (pi) * (radius cubed)
To solve this problem, we can substitute the given value for the radius and for pi.
Volume = (4/3) * (3.14) * (2.197)
Volume = 9.1981...
