Answer:
Choice B is correct answer.
Step-by-step explanation:
We have given an inequality.
4|x – 9| + 6 > 42
We have to find the solution of given inequality.
Adding -6 to both sides of above inequality, we have
4|x – 9| + 6 -6 > 42-6
4|x – 9| + 0 > 36
4|x – 9| > 36
Dividing above inequality by 4 , we have
4|x – 9| > 36
(4|x – 9|) / 4 > 36 / 4
|x – 9| > 9
Applying absolute value property, we have
-9 > x-9 > 9
Adding 9 to both sides of above equation, we have
-9+9 > x-9+9 > 9+9
0 > x > 18
Hence, we can write above inequality as:
x < 0 or x > 18 which is the answer.
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
Remove the decimal and put the number over 1000 or the next highest mark(10,100,1000,10000,etc depending on how many figures are in the number)
226/1000
Then divide the two by the Greatest Common Factor. In this case, it will be 2.
113/500
You cannot divide this any further because 113 is a Prime number, and 500 is not divisible by 113.
A 90 Degree counter clockwise rotation