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Nezavi [6.7K]
4 years ago
14

Randall built a scale model of a barn he wants to construct. What is the total volume of the model Round your answer to the near

est tenth.
3,254.0 cm^3
326.4 cm^3
3,100.8 cm^3
4,243.2 cm^3
1,305.6 cm^3

Mathematics
1 answer:
Ray Of Light [21]4 years ago
3 0

Answer:

2764.8cm³

Step-by-step explanation:

Looking at the diagram, the barn is a combination of 2 geometric shapes, a cuboid and Triangular prism

Step 1

Find the volume of the cuboid

Volume of the cuboid = Length × Width × Height

Length = 10cm

Width = 20.4cm

Height = 11.2cm

Volume = 10cm × 20.4cm × 11.2cm

Volume = 2284.8cm³

Step 2

Volume of Triangular prism = 1/2 × base × height × length

= 1/2 × 8 × 12 × 10

= 480cm³

Total volume = 2284.8cm³ + 480cm³

= 2764.8cm³

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3 years ago
The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lun
Luden [163]

Answer:

The expected value for a student to spend on lunch each day = $5.18

Step-by-step explanation:

Given the data:

Number of students______$ spent

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1 student________________$8

12 students______________$6

23 students______________$5

8 students_______________$4

4 students_______________$3

Sample size, n = 50.

Let's first find the value on each amount spent with the formula:

\frac{num. of students}{sample size} * dollar spent

Therefore,

For $10:

\frac{2}{50} * 10 = 0.4

For $8:

\frac{1}{50} * 8 = 0.16 l

For $6:

\frac{12}{50} * 6 = 1.44

For $5:

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For $4:

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For $3:

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To find the expected value a student spends on lunch each day, let's add all the values together.

Expected value =

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ivann1987 [24]
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