Diameter 4m, radius is half,
Radius Answer: 2 m
Volume is
V = (4/3)πr³ = (4/3)π 2³ = (4/3)π(8) = (32/3) π
Answer: 32/3 (× π cubic meters)
The formula for the volume of a cube is:
V = a^3
Plug in what we know:
125 = a^3
Cube the other side:
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:
A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags
b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50
Answer:
B) m∠ A'B'C' = m∠ABC
Step-by-step explanation:
A rotation does not change angle measure or side length. It preserves congruence.
This means that the image angle, A'B'C', will be congruent to the pre-image angle, ABC.