You're given the conversion formula of 1 yard = 3 feet and 1 foot = 12 inches so let's use that.
For red you're given three yards so because 1 yard = 3 feet, then you have
3 feet + 3 feet + 3 feet = 9 feet ( or 3ft * 3)
Now, to get inches, you multiply 9 by 12 to get 108 inches.
Since each bow requires 6 inches of ribbon you divide 108 by 6.
- Number of red bows: 18
- Inches of ribbon: 108
Yellow
Given: 54 inches
to convert to feet, you divide by 12 : 54/12 = 4.5 and to find yards you divide by 3: 4.5/3 = 1.5
to find the number of bows you divide 54 by 6: 9 bows
-Number of yellow bows: 9
-Yards of yellow ribbon: 1.5
Blue
Given: 24 bows
Because there's 6 inches for every bow 24*6 = 144 inches of ribbon
Convert to yards: 144/12 = 12 feet / 3 ft = 4 yards
-Inches of blue ribbon:144
-Yards of blue ribbon: 4
Answer:
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
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 = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of . So we have T = 2
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units
The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.