Answer:
7.5
Step-by-step explanation:
Given;
- Bert earns $35,000 gross annual salary
- Any amounts earned up to $20,000 are taxed at x%
- Any amounts earned beyond $20,000 are taxed at 20%
- Bert pays $4,500 per annum in income tax
To find x
Amount earned beyond $20,000
= $35,000 - $20,000
= $15,000
That is the amount to be taxed at 20%
Therefore,
x% × 20000 + 20% × 15000 = 4500
200x + 3000 = 4500
200x = 4500 - 3000
200x = 1500
x = 1500/200
x = 7.5
Answer:
B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.
Step-by-step explanation:
answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false
Answer:
Step-by-step explanation:
- For a horizontal compression, we multiply whole numbers greater than 1 in front of
of the given function. - For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of of the function.
For example,
If we wanted to <u>horizontally compress</u> 
, we would multiply by 4 to get 
, and
if we wante to <u>horizontally expand</u> , we would multiply by 
to get 
Since this question asks for horizontal compression, we multiply the of the function by 4. So the function we need is 
. The second choice is correct.
Answer:
1, 1/2
Step-by-step explanation:
the coordinates would be Oak station(8,8) and Pine Station(-6,-7).
The midpoints would be
=[8+(-6)]/2 , [8+(-7)]/2
=2/2 , 1/2
=1, 1/2
the answer is d not similar
