Answer: 85.93 cm³ .
Step-by-step explanation:
We know that the volume of the rectangular prism is given by :-
Given : A rectangular prism has
length =4.4 cm, width = 3.1 cm, and a= height =6.3 cm.
Then, the volume of the rectangular prism will be :
Hence, the volume of a rectangular prism is 85.93 cm³ .
Answer:
is the simplified radical expression.
Step-by-step explanation:
For this one, we have fractions in the bottom of a fraction (denominator).
So, we would multiply by .
Then Multiply by 6.
is the simplified radical expression.
Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size = 178
the sample size = 226
the sample mean = 54.4
the sample mean = 74.5
population standard deviation = 18.58
population standard deviation = 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error =
2.52
The lower limit =
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit =
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)