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The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface,
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface,
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism,
The volume of the given trapezoidal prism is 312 cubic units.
Answer:
A
The correct option is B
B
C
D
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size is
The number that developed nausea is X = 50
The population proportion is p = 0.20
The null hypothesis is
The alternative hypothesis is
Generally the sample proportion is mathematically represented as
Generally the test statistics is mathematically represented as
=>
=>
=>
The p-value obtained from the z-table is
Given that the then we fail to reject the null hypothesis