Answer:
The inverse of the function is (3x+4)/2
Step-by-step explanation:
To find the inverse, exchange x and y and then solve for y
y = (2x-4) /3
Exchange x and y
x = (2y-4)/3
Solve for y
Multiply each side by 3
3x = (2y-4)/3 *3
3x =2y-4
Ad 4 to each side
3x+4 = 2y-4+4
(3x+4) =2y
Divide each side by 2
(3x+4)/2 =2y/2
(3x+4)/2 = y
The inverse of the function is (3x+4)/2
Answer:
0.75 cup = 0.1763 liters
Step-by-step explanation:
From the question:
Using the conversion factors given in question
We are converting
0.75 cup to liters
Step 1
Convert cups to pint
1 cup = 0.5 pints
0.75 cup = x pints
x = 0.75 × 0.5 pints
x = 0.375 pints
Step 2
Convert pints to Quart
1 pints = 0.5 quart
0.375 pint = x quart
Cross Multiply
x quart = 0.375 × 0.5 quart
x quart = 0.1875 quart
Step 3
Convert from quart
1 quart = 0.94 liter
0.1875 quart = x liter
Cross Multiply
x liter = 0.1875 × 0.94 liter
x liter = 0.17625 liters
Approximately to 4 significant figures= 0.75 cup = 0.1763 liters
Answer: B. 

Step-by-step explanation:
Let
be the proportion of all U.S. adults that smoked in 1995. Let
denote the proportion of all U.S. adults that smoked in 2000.
Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.
i.e. 
Alternative hypothesis
is the statement containing population parameter that shows there is significant difference between the groups being tested.
⇒ 
Null hypothesis
is the statement containing population parameter that shows there is no significant difference between the groups being tested.
⇒ 
Hence, The hypotheses to test in this problem are


Hence, the correct answer is B. 

Answer:
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I sincerely hope this is right and that you get g really good mark ;)