Answer:
The standard error of the proportion is 0.112.
Step-by-step explanation:
The standard error of a proportion is given by the following formula:
In which p is the probability of a success and n is the length of the sample.
In this problem
A success is a student defining themselves regular dietary supplement users. Our of 3000 students, 1500 do. So .
We take a sample of 20 of them, so .
So
Member Price = 30 + 3x
Non-member Price = 6x
x = the tickets they buy.
We want 30 + 3x = 6x
So, first we subtract 3x from each side and are left with:
30 = 3x
Then, divide each side by 3.
10 = x
So, the cost of 10 tickets is the same more non-members and members.
We can also check it:
Member Price: 30 + 3(10)
30 + 30 = 60
Non-member Price: 6(10)
60
Answer: the rate change is 1/3
Step-by-step explanation: because its going up 1/3 not down.
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
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