Answer:
The confidence interval is 
Step-by-step explanation:
From the question we are told
The sample proportion 
The margin of error is 
The confidence interval for p is mathematically represented as
=> 
=>
Answer:
114 games
Step-by-step explanation:
0.95 x 120=114
they won 114 games
Answer:
Step-by-step explanation:
x²+5x+6=x²+3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)
so Volume=(x+3)(x+2)(x+4)
V=lwh
one of the factors is the length.
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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