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3 years ago

Volume equals length times width times height v=lwh solve the equation for l

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

Answer:

$\frac{V}{wh}=l$

Step-by-step explanation:

Equation: $V=lwh$

1). $\frac{V}{wh}=\frac{lwh}{wh}$

2). $\frac{V}{wh}=l$

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Three dice are rolled. Let the random variable x represent the sum of the 3 dice. By assuming that each of the 63 possible outco

tamaranim1 [39]

<h3>Answer: 1/8</h3>

In decimal form, 1/8 = 0.125 which converts to 12.5%

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Work Shown:

The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.

Here are all of the ways to add to 11 if we had 3 dice

sum = 1+4+6 = 11
sum = 1+5+5 = 11
sum = 1+6+4 = 11
sum = 2+3+6 = 11
sum = 2+4+5 = 11
sum = 2+5+4 = 11
sum = 2+6+3 = 11
sum = 3+2+6 = 11
sum = 3+3+5 = 11
sum = 3+4+4 = 11
sum = 3+5+3 = 11
sum = 3+6+2 = 11
sum = 4+1+6 = 11
sum = 4+2+5 = 11
sum = 4+3+4 = 11
sum = 4+4+3 = 11
sum = 4+5+2 = 11
sum = 4+6+1 = 11
sum = 5+1+5 = 11
sum = 5+2+4 = 11
sum = 5+3+3 = 11
sum = 5+4+2 = 11
sum = 5+5+1 = 11
sum = 6+1+4 = 11
sum = 6+2+3 = 11
sum = 6+3+2 = 11
sum = 6+4+1 = 11

There are 27 ways to add to 11 using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.

So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.

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3 years ago

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(a) If

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then from the given conditions we get the system of equations,

f (-1) = a₀ - a₁ + a₂ - a₃ = -1

f (1) = a₀ + a₁ + a₂ + a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 8a₃ = 1

f (3) = a₀ + 3a₁ + 9a₂ + 27x ³ = 5

(b) Similarly, if

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then

f'(x) = a₁ + 2a₂ x + 3a₃ x ²

so that the given conditions yield the system,

f (1) = a₀ + a₁ + a₂ + a₃ = 0

f' (1) = a₁ + 2a₂ + 3a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 27a₃ = 3

f' (2) = a₁ + 4a₂ + 12a₃ = -1

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0= 3
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