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myrzilka [38]
3 years ago
13

Lue is rolling a random number cube.the cube has six sides and each one is labeled with a different number 1 through 6.what is t

he probability that he will roll a sum of 12 in two rolls
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0
The probability is 1/36.

since the cube is numbered 1-6, the only way to roll a 12 is by getting 2 six’s.

1/6 • 1/6 = 1/36
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d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

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5 0
3 years ago
A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the
Harman [31]
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Help me please......... ​
Rama09 [41]

Answer:

1. true 2. true 3.true 4. false 5. false

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Scrat [10]

Answer:

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Step-by-step explanation:

The formula for the slope given two points is

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    =3/6

     1/2

5 0
3 years ago
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