Answer:
The sample size used to compute the 95% confidence interval is 1066.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:
The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).
To compute the sample size used we first need to compute the sample proportion value.
The value of sample proportion is:
Now compute the value of margin of error as follows:
The critical value of <em>z</em> for 95% confidence level is:
Compute the value of sample size as follows:
Thus, the sample size used to compute the 95% confidence interval is 1066.
Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
Answer:
The equation of the line is 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that 
So
Through the point (-6, -6)
This means that when 
. So
The equation of the line is
Answer
50.6
Step-by-step explanation:
I'm not sure how to do it, but I took the quiz and it said this was the correct answer
Answer:
144.78 cm
Step-by-step explanation:
57 times 2.54
