Each cube in this rectangular prism is 1 cm3.What is the volume of the rectangular prism?
1 answer:
Answer:
Volume of rectangular prism =
Step-by-step explanation:
Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.
To find volume of rectangular prism.
Solution:
Volume of rectangular prism is =
We know that all sides of a cube are equal in measure.
So, we will count the number of cubes on each side to get the exact measure.
Length side = 4 cubes = 5 cm
Width side = 2 cubes = 2 cm
Height side = 2 cubes = 2 cm
Thus volume of rectangular prism =
Volume of rectangular prism =
You might be interested in
Answer:
a) 0.0853
b) 0.0000
Step-by-step explanation:
Parameters given stated that;
H₀ : <em>p = </em>0.6
H₁ : <em>p = </em>0.6, this explains the acceptance region as;
p° ≤ =0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)
a).
the probability of type I error if exactly 60% is calculated as :
∝ = P (Reject H₀ | H₀ is true)
= P (p°>0.63 | p=0.6)
where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below
= P
= P
= P
= P [Z > 1.37]
= 1 - P [Z ≤ 1.37]
= 1 - Ф (1.37)
= 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)
≅ 0.0853
b)
The probability of Type II error β is stated as:
β = P (Accept H₀ | H₁ is true)
= P [p° ≤ 0.63 | p = 0.75]
where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below
= P
= P
= P
= P [Z ≤ -6.20]
= Ф (-6.20)
≅ 0.0000 (from Cumulative Standard Normal Distribution Table).