Answer:
So the answer for this case would be n=183 rounded up to the nearest integer
Step-by-step explanation:
Information provided
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
the margin of error desired
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.023 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence level is 97% or 0.97 and the significance would be 
and 
then the critical value would be: 
, replacing into formula (5) we got:
So the answer for this case would be n=183 rounded up to the nearest integer
Answer: f-1(y) = (y-3)/2
Step-by-step explanation:
f(x) = 2x+3, written as a flow diagram:
2x+3
The Inverse Function goes the other way:
Inverse
So the inverse of: 2x+3 is: (y-3)/2
The inverse is usually shown by putting a little "-1" after the function name, like this:
f-1(y)
We say "f inverse of y"
So, the inverse of f(x) = 2x+3 is written:
f-1(y) = (y-3)/2
Answer:
Required number is 4.
Step-by-step explanation:
Let the required number be a.
Given,
Sum of ten times the integer and seven times it’s square is 152.
= > Ten times of a + seven times of it's square = 152
= > 10( a ) + 7( a )^2 = 152
= > 10a + 7a^2 - 152 = 0
= > 7a^2 + 10a - 152 = 0
= > 7a^2 + ( 38 - 28 )a - 152 = 0
= > 7a^2 + 38a - 28a - 152 = 0
= > a( 7a + 38 ) - 4( 7a + 38 ) = 0
= > ( a - 4 )( 7a + 38 ) = 0
= > a = 4 or - 38 / 7
Hence the required number is 4.
Answer: B) established a strong, central government
