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krek1111 [17]
3 years ago
13

A prism is comply filled with 3996 cubes that have edge lengths of 1/3 inches. What is the volume of the prism

Mathematics
1 answer:
stich3 [128]3 years ago
6 0
The volume of a cube by definition is:
 V = L ^ 3
 Where:
 L: side.
 We have then that the volume of a cube is:
 V = (1/3) ^ 3
 V = 1/27
 Then, the prism volume is:
 Vtotal = 3996 * V
 Vtotal = 3996 * (1/27)
 Vtotal 148 inches ^ 3
 Answer:
 the volume of the prism is:
 Vtotal 148 inches ^ 3
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Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

N(Total) = 500

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

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See attached image, it's direct formula substitution.

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WhT is this rounded to the nearest hundredth​
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Answer:

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Step-by-step explanation:

The number that is in the hundredths place is five. You can remember this by knowing that the decimal point counts as one and all the number to the right of the decimal point count as zero. So 0 is in the tenths place, 1 is in the hundredths place, 5 is in the thousandths place, 6 is in the ten thousandths place and so on. So if you round this number to the nearest hundredth, you'll get 32.02 because if you're rounding a number and the number you're rounding with (knowing that the number you're rounding will always be rounded with the number to the right of it) is 5 or greater than 5, that number that you have to round will go up one unit.

I hope this helped!

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Is 1/9 >, <, or = {Negative} -4?
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<u>Answer:</u>

1/9 > -4

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