2.755778 lbs or round to 2.76 or 3 depending on the question
Hi there!
To solve this problem, we need to find the amount of classmates out of the entire class who did not choose blue as their favorite color and then convert it into a percentage.
First, let's find the fraction:
Since there are 25 total people in her class, since
6 + 9 + 10 = 25
25 is the denominator of the fraction;
Since there are 16 people who did not choose blue,
6 + 10 = 16
16 is the numerator of the fraction.
So, our fraction is 16/25.
Now, we need to convert it into a percentage. To do this, we need to make the denominator 100 by multiplying it by a certain number, and then multiplying the numerator by that same number so the fraction stays equal:
16/25
= 16*4/25*4
= 64/100
= 64%
So, the answer is 64% of Stephanie's classmates.
Hope this helps!
The probability would be 0.9738.
We first find the z-score for each end of this interval:
z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89
z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94
Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0. The probability under the curve to the left of, less than, the second z-score is 0.9738. Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.
Area of the cross section (Trapezium) :
1/2 (6 + 11) x 3 = 25.5 cm²
Volume = area x height = 25.5 x 3 = 76.5 cm³