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zheka24 [161]
2 years ago
10

Shelby needs three different colors of pens to organize her daily planner if she has 12 pints to choose from how many ways can s

he select three different colored pens
Mathematics
2 answers:
astra-53 [7]2 years ago
8 0

Answer:4 or 36

Bc 12 divided by 3 is 4 and 3X12=36

Step-by-step explanation:

Lena [83]2 years ago
7 0
<h3>Answer: 220</h3>

======================================

Explanation:

Imagine we have 3 slots to fill: slot A, slot B, slot C.

There are 12 choices for slot A

There are 11 choices for slot B (whatever was picked cant be reselected)

There are 10 choices for slot C

There are 12*11*10 = 1320 permutations. If order mattered, then we would be done with the problem.

However, order does not matter as there is no need to rank or sort the various colors. All we care about is the group rather than the individual colors.

For any single group of 3, there are 3*2*1 = 6 ways to arrange the objects. This means that we divide by 6 to go from a permutation to a combination

1320/6 = 220

So there are 220 combinations. This tells us there are 220 different groups of colors where the order does not matter in any single particular group.

Eg: group {A,B,C} is the same as group {B, C, A}

-------------------------

An alternative method is to use the combination formula.

We would plug in n = 12 and r = 3 to get,

nCr = (n!)/(r!*(n-r)!)

12C3 = (12!)/(3!*(12-3)!)

12C3 = (12!)/(3!*9!)

12C3 = (12*11*10*9!)/(3!*9!)

12C3 = (12*11*10)/(3!)

12C3 = (12*11*10)/6

12C3 = 1320/6

12C3 = 220

we get the same answer as before.

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castortr0y [4]

Answer:

<h2>x = 12</h2><h2 /><h2>y = 4√3</h2>

Step-by-step explanation:

<u>To find x we use cosine</u>

cos∅ = adjacent / hypotenuse

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<h3>x = 12</h3>

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Hope this helps you

5 0
2 years ago
The manufacturer of a CD player has found that the revenue R​ (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com
AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

R(p) = -5p^2 + 1550p

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550

Equating the first derivative to zero, we get,

\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155

Again differentiation R(p), with respect to p, we get,

\dfrac{d^2(R(p))}{dp^2} = -10

At p = 155

\dfrac{d^2(R(p))}{dp^2} < 0

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

R(155) = -5(155)^2 + 1550(155) = 120125

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

6 0
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For number 8, the area will be 350 square yard because the total area of the rectangle is 20 times 18 will equal 360 square yards, and I know that the area of the cutting rectangle is 5 times 2 equals 10 square yard, so the rest of the rectangle will be 360-10 or 350 square yards. For number 9, the area will be 28 square meters because the area of the whole rectangle is 40 square meters, and I found the area of the rectangle that already cut which equal 4 times 3 equal 12 square meters, so the area of the rectangle that does not cut will be 40-12 or 28 square meters. For number 10, the answer will be 92 square feet because the area of the complete rectangle wipp be 14 times 10 equal 140 square feet, and the area of the rectangle that already cut is 8 timed 6 equal 48 square feet, so the area that had left will equal 140-48 or 92 square feet. Hope it help!
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