Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
The volume of a cube can be expressed as
Let V = volume
Let a = side length
V = a^3
We need to solve the formula to isolate the variable a. First, we must cube root each side.
∛(V) = a. With our new formula, we plug in 64 cube inches into V.
∛(64) = a.
4 = a.
The length of one side on our cube is 4 inches.
13=idk
14=first minutes into hour: 40/60=2/3
speed=distance/time
=280/(2/3)
ans=420miles/hour
