Given:
Cylindrical tank volume : 14,130 in³
smaller cylinder : 25 pcs
radius of small cylinders: 3 inches.
Volume of a cylinder = π r² h
14,130 in³ ÷ 25 pcs = 565.20 in³ volume per small cylinder.
565.20 in³ = 3.14 * (3in)² * h
565.20 in³ = 3.14 * 9in² * h
565.20 in³ = 28.26 in² * h
565.20 in³ ÷ 28.26 in² = h
20 in = h
The height of the small cylinder is 20 inches.
In hypothesis testing, A null hypothesis (H0) is a claim which the person conducting the research wants to test while an alternative hypothesis (H1) is a contradiction of the null hypothesis.
There are two types of tests in hypothesis testing.
One tailed test: In one tailed test, a claim that a parameter is greater than/ less than a value is being tested. i.e mean > value or mean < value.
Two tailed test: In a two tailed test, a claim that a value is equal to a value is tested, i.e mean = value.
In the question above, Colleen is testing the claim that the average score of her class is the same as others against that it is different from others.
Therefore, the null hypothesis is H0: mean = 514 while the alternative hypothesis is H1: mean ≠ 514
Answer:
The statement BI = BK is true from the given information ⇒ B
Step-by-step explanation:
If a line is a perpendicular bisector of a line segment, then
- The line intersects the line segment in 4 right angles
- The line intersects the line segment in the mid-point of the line segment
- Any point on the line is equidistant from the endpoints of the line segment
Let us find the true statement
∵ Line AB is the perpendicular bisector of segment IK
→ By using the 1st note above
∴ AB ⊥ IK
∴ ∠IJA, ∠KJA, ∠IJB, ∠KJB are right angles
→ By using the 2nd note above
∴ J is the mid-point of IK
∴ IJ = JK
∵ Any point on line AB is equidistant from The endpoints of IK ⇒ 3rd note
∴ AI = AK
∴ BI = BK
∴ The statement BI = BK is true from the given information
