A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 units. How many 1/3 units does
1 answer:
Answer:
108 cubes
Step-by-step explanation:
step 1
Find the volume of the cube with side length of 1/3 units
The volume of the cube is equal to
where
b is the side length
we have
substitute
step 2
To find how many cubes are needed to fill the prism, divide 4 cubic units (volume of the rectangular prism) by 1/27 cubic units (volume of one cube)
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Answer:
The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.
Step-by-step explanation:
Given:
Cost of 15 ounces of oat cereal box = $3.90
Cost of 11 ounces of rice box = $3.30
To compare the unit prices of the the boxes.
Solution:
Using unitary method to find the unit prices:
If 15 ounce of oat box cost =$3.90
∴ 1 ounce of oat cereal would cost =
∴ Per ounce cost of oat cereal = $0.26
If 11 ounce of rice box cost =$3.30
∴ 1 ounce of rice would cost =
∴ Per ounce cost of rice = $0.3
Difference in unit costs of oat and rice =
On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.
Answer:
The correct option is
d) (179.20, 212.716)
Step-by-step explanation:
We have out of a random sample of 1000, 345 carried more than a bag
Therefore in the question our X = 345 passengers carry more than a piece of luggage
n = 1000
Therefore the probability of a passenger carrying more than one luggage = 345/1000 = 0.345
The confidence interval estimator of p is given by
where p' = 0.345 = probability of desired outcome
n = 1000 = Population size
z at 95 % = Confidence interval estimate, the value is sought from the distribution table as z value is 1.96 at 95 % confidence level
We have which gives
0.3745 or 0.3155
Which gives the range of confidential interval estimate as
212.695 to 179.224 which is equivalent to
d) (179.20, 212.716).
