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1 answer:
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step 1: Given
step 2: Distributive Property
step 3: Combine Like terms
step 4: Subtraction Property of Order
step 5: Addition property of order
step 6: Division property of order
Step-by-step explanation:
We are given the inequality:
We need to match each step with the reasons.
The given steps are:
1.
−38−3(x+5)>6x−17
So, Reason for step 1: Given
2.
−38−3x−15>6x−17
So, Reason for step 2: Distributive Property
3.
−3x−53>6x−17
So, Reason for step 3: Combine Like terms
4.
−9x−53>−17
So, Reason for step 4: Subtraction Property of Order
5.
−9x>36
So, Reason for step 5: Addition property of order
6.
x<−4
So, Reason for step 6: Division property of order
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly
Answer:
The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.8595
The margin of error is:
M = T*s = 1.8595*2.7 = 5
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams
The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.
The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.