Multiply the length by width by the height/3
7 x 6 x 8/3 = 112 in^2
The answer is 112 in^2
Answer: 15cm^2
Step-by-step explanation:
0.5*10*3=15
Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
V=hpir^2
h=20
r=12
v=20pi12^2
v=20pi144
v=2880pi
2nd one is answer