Answer:
I might be wrong i think its C but double check and dont put it in until you are sure its right
Step-by-step explanation:
Answer: ( 8.11 , 9.69)
the 95% confidence interval of the true mean weight
= ( 8.11 , 9.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.9
Standard deviation r = 0.9
Number of samples n = 5
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
8.9+/-1.96(0.9/√5)
8.9+/-1.96(0.4025)
8.9+/- 0.79
= ( 8.11 , 9.69)
Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)
Answer:
The number of cubes are needed to fill the rectangular prism = 448 cubes
Step-by-step explanation:
It is given that,
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2
cm. The prism is filled with cubes that have edge lengths of 1/2 cm
<u>To find the volume of rectangular prism</u>
Volume of rectangular prism = Length x Width X Height
Length = 7 cm, Width = 4 cm and height = 2cm
Volume = 7 x 4 x 2 = 56 cm³
<u>To find the volume of small cubes</u>
Volume of cube = a³
a = 1/2 cm = 0.5³ = 0.125
<u>To find the number of cubes needed to fill prism</u>
Number of cubes = Volume of prism/ volume of cube
= 56/0.125 = 448 cubes
Therefore the correct answer is 448 cubes
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
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If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
