Answer:
Z=11.0
Step-by-step explanation:
Let Caucasian individuals be the population 1 and African American be the population 2. So, we are given that
n=150
n1=75
mean1=xbar1=6.1.
standard deviation1=S.D1=σ1=1.1.
Variance1=V(x1)=σ1²=1.1²=1.21.
n2=75.
mean2=xbar2=4.3.
standard deviation2=S.D2=σ2=0.9.
Variance2=V(x2)=σ2²=0.9²=0.81.
The z-statistic is





Z=10.97
Z=11.0
So, the z value obtained while calculating the test statistic is approximately 11.0.
10 x 10 x 10, I believe this is the form you mean.
Because the circumference of a circle is the diameter times 3.14, all you have to do to get the diamater is reverse it and divide the circumference by 3.14
The volume we're looking for is the volume of both cones in the figure.
The volume of a cone is
.
So,
.
<u>Cone 1's variables:</u>
r = 2.6
h = 5
<u>Cone 2's variables:</u>
r = 2.6
h = 3
Now we can just plug and chug!
![V_{tot} = [(3.14)(2.6^2)(\frac{5}{3} )] + [(3.14)(2.6^2)\frac{3}{3} )]\\V_{tot} = [(3.14)(6.76)(1.67)] + [(3.14)(6.76)(1)]\\V_{tot} = (35.45) + (21.23)\\V_{tot} = 56.68](https://tex.z-dn.net/?f=V_%7Btot%7D%20%3D%20%5B%283.14%29%282.6%5E2%29%28%5Cfrac%7B5%7D%7B3%7D%20%29%5D%20%2B%20%5B%283.14%29%282.6%5E2%29%5Cfrac%7B3%7D%7B3%7D%20%29%5D%5C%5CV_%7Btot%7D%20%3D%20%5B%283.14%29%286.76%29%281.67%29%5D%20%2B%20%5B%283.14%29%286.76%29%281%29%5D%5C%5CV_%7Btot%7D%20%3D%20%2835.45%29%20%2B%20%2821.23%29%5C%5CV_%7Btot%7D%20%3D%2056.68)
V = c. 56.6 cubic units