The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.
V=HπR^2-3(4πr^3)/3
V=HπR^2-4πr^3 where H=height of can, R=radius of can, r=radius of ball
We are told H=7, R=1.5, and r=1.125 (2.25/2=d/2=r) so
V=7π1.5^2-4π1.125^3
V=15.75π-5.6953125π in^3
V≈31.58 in^3
Answer: 14.33
Step-by-step explanation:
Answer: <em>Tara thinks correctly.</em>
Step-by-step explanation:
<em>Let's calculate the average value in sample A:</em>
<em>(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ </em><em>6 hours</em>
<em>Let's calculate the average value in sample B:</em>
<em>(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ </em><em>6 hours</em>
<em>So, Tara is correct in saying that the mean is 6.</em>
Answer: B. A quadrilateral that has diagonals that do not bisect each other.
Step-by-step explanation:
- A parallelogram is a quadrilateral whose opposite sides are equal or congruent and parallel. Also, the opposite sides in parallelogram are equal or congruent and the sum of two adjacent angles is 180 degrees.The diagonals of parallelogram bisect each other.
Therefore by the properties of parallelogram the choice that does NOT describe a parallelogram is " <em>A quadrilateral that has diagonals that do not bisect each other</em>.".
Answer:
-Convenience Sampling
Step-by-step explanation:
Convenience Sampling is a sampling method that is employed simply because the samples are easy to reach or access. It is a non-probability system of sampling and not a very strong method of sampling. For a serious research such as the one being conducted by the Superintendent, who has ample time to perform the research, this is not a very good sampling method. A Convenience style of research would mean that he can just walk into a cafeteria with students and administer the test to them.
Since he has detailed information of the students, he should choose any of the other mentioned sampling techniques in the options provided to randomly select the subjects. <em>This would help to</em> prevent bias, and enable him to make generalizations with the result of the research.
