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Papessa [141]
2 years ago
6

Janet surveyed a class or students she recorded the number of hours that each student volunteered this line plot shows the resul

ts of the survey

Mathematics
1 answer:
maks197457 [2]2 years ago
7 0

Answer:

Part A: 20 students

Part B: 4 hours

Step-by-step explanation:

Part A:

To find the number of students surveyed, we count the number of x there are in the graph.

students = 1 + 2 + 3 + 5 + 1 + 1 + 3 + 2 + 2 = 20

Part B:

To find the mean, we need to find the total number of hours volunteered first.

hours = 1x0 + 2x1 + 3x3 + 5x3 + 1x4 + 1x5 + 3x6 + 2x7 + 2x8 = 80

Now, we can find the mean. We divide the total number of hours volunteered by the number of students.

Mean = 80 ÷ 20 = 4

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The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) W
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Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:

V_{cuboid}=lenght*width*height

We have this three measurements (l=300cubits;w=50cubits;h=30cubits)) and it can be as simple as replacing them in the equation and solving but they are in all in cubits. We will convert them to ft because the problem requires the answer in ft^{3}. In order to do this we will use the given equivalences:

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First we will convert from cubits to palms:

l=300cubits*\frac{6palms}{1cubit}=1800palms\\w=50cubits*\frac{6palms}{1cubit}=300palms\\h=30cubits*\frac{6palms}{1cubit}=180palms\\

now from palms to in:

l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\

now from in to ft:

l=5580in*\frac{1ft}{12in}=465ft\\w=930in*\frac{1ft}{12in}=77.5ft\\h=558in*\frac{1ft}{12in}=46.5ft

We can calculate the Volume now like this:

V_{ark}=465ft*77.5ft*46.5ft=1675743.75ft^{3}

The volume of trhe ark would be 1675743.75ft^{3}

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