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Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-
Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean : 
Standard deviation: 
Significance level : 
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-
Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-
Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Hey!
Answer:
4/1
Step-by-step explanation:
- The multiplicative inverse of a number is the reciprocal of it. (a/b → b/a).
- Basically you divide 1 by the other number. (1 ÷ 1/4 = 4 or 4/1).
Hope This Helps :)
Answer:
b= -164
Step-by-step explanation:
calculate the difference
7x(-75)-2b= -197
multiply the numbers
-525-2b= -197
move the constant to the right- hand side and change the sign
-2b= -197+525
add
-2b=328
divide
b= -164
