Answer:
Step-by-step explanation:
Volume of Cylinder = πr²h
= 3.14 * 12 * 12 * 50
= 22608 cubic ft
Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=
where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =
≈ 1.19
Gerald's standardized score is:
z(g)=
≈ 0.72
Since z(e) > z(g), Elanor has higher score
Answer:
The volume of cylinder is calculated by:
V = base area x height = pi x radius^2 x height
=> 3617.28 = 3.14 x 12^2 x height
=> 3617.28 = 452.16 x height
=> height = 3617.28/452.16 = 8 (cm)
Hope this helps!
:)
Measures of angles are X = 102° and Y = 78°
Step-by-step explanation:
- Step 1: Let ∠X = 24 + Y. As they are supplementary angles, ∠X + ∠Y = 180°
⇒ 24 + Y + Y = 180
⇒ 2Y = 180 - 24 = 156
⇒ Y = 156/2 = 78°
- Step 2: Find measure of X
⇒ X = 24 + Y = 24 + 78 = 102°