Answer:
The required probability is 0.3717.
Step-by-step explanation:
Consider the provided information.
There are approximately 100 species of venomous snakes, but only about 12 have a deadly bite.
zoo randomly selects one snake from each of five different species to show visitors.
The total number of ways to select 5 different species out of 100 are:

We need to find the probability that exactly one of the five snakes shown is deadly.
That means out of 12 deadly bite we need to select only 1.
Thus, the number of ways are:

Hence, the required probability is:

The required probability is 0.3717.
The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)
This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B
If we let
A = π / 5
B = π / 7
Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)
Answer:
3.85 gallons
Step-by-step explanation:
11/4 gallons /5 x 7
= 2.75 gallons /5 x 7
= 0.55 gallon x 7
= 3.85 gallons
That would be equal to the slope of the line
slope = rise / run = 100-10 / 30 = 90/30 = 3 Answer