Answer:
48
Step-by-step explanation:
Because the lines that the transversals are cutting through are parallel:
![\dfrac{24}{32}=\dfrac{k}{64} \\\\\\k=64 \cdot \dfrac{24}{32}=48](https://tex.z-dn.net/?f=%5Cdfrac%7B24%7D%7B32%7D%3D%5Cdfrac%7Bk%7D%7B64%7D%20%5C%5C%5C%5C%5C%5Ck%3D64%20%5Ccdot%20%5Cdfrac%7B24%7D%7B32%7D%3D48)
Hope this helps!
Volume of a prism=LWH
V=12 3/8 * 10*5
V=12.375 * 50
V=618.75
The volume of the prism is 618.75yd³
Answer:
a) x = 1.52
b) s = 1.16
Step-by-step explanation:
We have that:
5 students watched 0 movies.
9 students watched 1 movie.
5 students watched 2 movies.
5 students watched 3 movies.
1 student watched 4 movies.
(a) Find the sample mean x.
Sum divided by the number of students. So
![x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%2A0%20%2B%209%2A1%20%2B%205%2A2%20%2B%205%2A3%20%2B%201%2A4%7D%7B5%20%2B%209%20%2B%205%20%2B%205%20%2B%201%7D%20%3D%20%5Cfrac%7B38%7D%7B25%7D%20%3D%201.52)
(b) Find the approximate sample standard deviation, s.
Standard deviation of the sample.
Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So
![s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B5%2A%280-1.52%29%5E2%20%2B%209%2A%281-1.52%29%5E2%20%2B%205%2A%282-1.52%29%5E2%20%2B%205%2A%283-1.52%29%5E2%20%2B%201%2A%284-1.52%29%5E2%7D%7B24%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B32.24%7D%7B24%7D%7D%20%3D%201.16)
The arrow should be pointing to the negatives
Answer:
OB
Step-by-step explanation:
it's not a beacuasenhes not doing everyone
and we have no info on whether anyone serveylayed a sport so the only possible option is 2