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Liula [17]
3 years ago
10

Minni is arranging 3 different music CDs in a row on a shelf. Create a sample space for the arrangement of a jazz CD (J), a pop

CD (P), and a rock CD (R).
Mathematics
2 answers:
weeeeeb [17]3 years ago
8 0
The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
Tresset [83]3 years ago
8 0

Answer with explanation:

There are three different music CD's on shelf, which are:

   jazz CD (J), a pop CD (P), and a rock CD (R).

When you will arrange three CD's in a row, order of putting CD's is Important. So, we will Apply the rule of Permutation.

Arrangement of three Distinct things can be done in either 3!  or _{3}^{3}\textrm{P} ways.

= 3 × 2 ×1

= 6 ways

or

=\frac{3!}{(3-3)!}\\\\=3!=3 \times 2 \times 1=6

= {J PR, J RP, P R J, P J R, R P J, R J P}

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Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II,
Morgarella [4.7K]

Answer:

l(n) = 80n + 520

Step-by-step explanation:

From the information given in the  question, there is a relationship between the number of new policy sold, n, and earning, I

           For 3 new policies, he earned $760

           For 5 new policies, he earned $920.

The rate of change of IIya's earning with respect to number of new policy sales is

             m = \frac{dI}{dn}

             m = \frac{920 - 760}{5 - 3}

             m = $160 / 2 policies

             m = $80 / policy

The linear equation for the relationship is;

             l(n) = mn + b

I(n) is Ilya’s weekly income which is a function of the number of new policies, n

m is the rate of change of I with respect to n

n is the number of new policies,

b is the intial function which is IIya's income when n equals zero

Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)

                 l(n) = 80n + b

To complete the relationship l, we need to calculate the initial value b.

For 3 new policies, he earned $760,

             760 = 80(3) + b

             760 = 240 + b

             b = 760 - 520

             b = 520

The final equation is l(n) = 80n + 520

From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.

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Step-by-step explanation:I used a calculator.

7 0
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seraphim [82]

Answer:

15s=350+100

15s=450

s=450/15

s=30

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Answer:

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Step-by-step explanation:

13+(-19)  (distribute "+" sign into parentheses)

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