Since the chance of getting an even number on every roll is 3/6 or 1/2
We have to multiply 1/2 by 138
The answer is 69.
Hope this is correct, and pls correct me if I'm wrong :)
Answer:
4) Unbiased; 5) Biased
Step-by-step explanation:
4) states that the audience of the poll was "random" people meaning it's a good foundation of data as they weren't chosen for the employee noticing their specific affiliation with being overjoyed with the product (as the question doesn't say) or for not liking (have complaints about it) the product.
5) The audience of the poll is fans of a sports team--definitely biased because they'll say they love the 49ers being a fan for them. Leads to skewed results not representing a portion of a population accurately.
A 40 x 110 rectangle has an area of 4400 sq. ft.
The horse has a 14 ft lead. That makes 14 ft. the radius that the horse can cover.
The formula for the area of a circle is r^2 * PI ( radius squared * 3.14 ).
So the horse can't get to 4400 - ( 14 * 14 * 3.14 ) sq. ft.
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]