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Lera25 [3.4K]
3 years ago
15

During a​ one-month promotional​ campaign, Fran's Flix gave either a free DVD rental or a​ 12-serving box of microwave popcorn t

o new members. It cost the store ​$1 for each free rental and ​$2 for each box of popcorn. In​ all,46 new members were signed up and the​ store's cost for the incentives was ​$86. How many of each incentive were given​ away?
Mathematics
1 answer:
klasskru [66]3 years ago
3 0
43 for popcorn or 86 for rental dvds
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Which statement is true
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Answer:

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8 0
2 years ago
The market and Stock J have the following probability distributions:
denis-greek [22]

Answer:

1) E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%

2) E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%

3) E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1

And the variance would be given by:

Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89

And the deviation would be:

Sd(M) = \sqrt{13.89}= 3.73

4) E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8

And the variance would be given by:

Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56

And the deviation would be:

Sd(M) = \sqrt{55.56}= 7.45

Step-by-step explanation:

For this case we have the following distributions given:

Probability  M   J

0.3           14%  22%

0.4           10%    4%

0.3           19%    12%

Part 1

The expected value is given by this formula:

E(X)=\sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%

Part 2

E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%

Part 3

We can calculate the second moment first with the following formula:

E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1

And the variance would be given by:

Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89

And the deviation would be:

Sd(M) = \sqrt{13.89}= 3.73

Part 4

We can calculate the second moment first with the following formula:

E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8

And the variance would be given by:

Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56

And the deviation would be:

Sd(M) = \sqrt{55.56}= 7.45

8 0
3 years ago
Given the geometric sequence where a1=3 and the common ratio is -1, what is the domain for n?
zimovet [89]

Answer:

  all integers where n ≥ 1

Step-by-step explanation:

n is a counting number, since it counts the terms of the sequence. It is in the set {1, 2, 3, ...}, any of the integers 1 or greater.

5 0
3 years ago
What is the area of the figure below?
Troyanec [42]

Answer:

The area of the figure is 7.5 m².

Step-by-step explanation:

Given the lengths of diagonals

  • 2.5 m
  • 6 m

The area of the given figure can be computed by multiply the lengths of the diagonals and then divide by 2.

so

Area = (2.5 × 6 ) ÷ 2

        = 15 ÷ 2

        = 7.5 m²

Therefore, the area of the figure is 7.5 m².

3 0
3 years ago
A cell phone company offers a contract that costs $14.99 plus $0.06 per minute. Find the total number of minutes used if the bil
sattari [20]

Answer:

87 minutes

Step-by-step explanation:

Let the total number of minutes = m

Our equation is given as:

$20.21 = $14.99 + 0.06m

20.21 = 14.99 + 0.06m

Collect like terms

0.06m= 20.21 - 14.99

0.06m = 5.22

m = 5.22/0.06

m = 87

Therefore, the total number rod minutes used is 87 minutes

7 0
3 years ago
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