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.
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
9514 1404 393
Answer:
(c) Not parallel: corresponding angles are not congruent
Step-by-step explanation:
The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.
Hey there!
#1 ⬇️
6 × 6 × 6 × 6 × 6
6 × 6 = 36
36 × 36 × 6
36 × 36 = 1,296
1296 × 6 = 7,776
Answer: 7,776 ☑️
#2 ⬇️
3 × 3 × 3 × 3
3 × 3 = 9
9 × 9 = 81
Answer: 81 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
1) 506.85 minutes
2) 17.33 minutes
3) 23.25 hours
Step-by-step explanation:
1) 16 minutes and 21 seconds
16 minutes and 21 seconds=16.35 minutes
Multiply by 31
2) 537 minutes 20 seconds
537 minutes 20 seconds=537.33 minutes
Divide by 31
3) 999 hours 45 minutes
999 hours 45 minutes=999.75 hours
