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Nuetrik [128]
3 years ago
8

The Ramos family wants to buy a Play Station 4 for $299.00, along with accessories and games. A wireless controller costs $44.99

, a wireless controller charging station costs $29.99 . and each game costs $49.99. Let a represent the number of wireless controllers , b represent the number of charging stations, and c represent the number of games. Part A: Write an algebraic expression to describe how much the Ramos family will spend, before sales tax, on a Play Station 4 any number of wireless controllers charging stations , and games . Part B: How much would the Ramos family spend before sales taxthey purchase a Play Station 4, two wireless controllers , one charging station , and 3 games
Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

Part A: 299 + 45A + 30B + 50c

Part B: 569 (or 570 if you round it up)

Step-by-step explanation:

Part A:

Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.

If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.

If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B

If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C

Put that all together, and we get 299 + 45A + 30B + 50c.

Part B:

Let's plug the numbers into the formula.

A = 2

B = 1

C = 3

299 + 45A + 30B + 50c = 299 + 90 + 30 + 150 = 569\ dollars

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The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-gr
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Answer:

Only 60 is an identified outlier

Step-by-step explanation:

Given

<u>Age group: 40 to 50</u>

Min = 60           Q_1 = 70           Median= 73

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<u>Conditions for outlier</u>

Value > Q_3 + 1.5 * IQR

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<em>See attachment for complete question</em>

<u>Required</u>

Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years

First, calculate the IQR of group 40 to 50.

This is calculated as:

IQR = Q_3 - Q_1

Where:

Q_3 = 76 and Q_1 = 70

So:

IQR = 76 - 70

IQR = 6

<em>Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)</em>

<u></u>

<u>Testing 60</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

60 > 76 + 1.5 * 6

60 > 76 + 9

60 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

60 < 70 - 1.5 * 6

60 < 70 - 9

60 < 61 --- True

<em>Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years</em>

<em></em>

<u>Testing 62</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

62> 76 + 1.5 * 6

62 > 76 + 9

62 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

62 < 70 - 1.5 * 6

62 < 70 - 9

62 < 61 --- False

<em>Because both conditions are false, then 62 is  not an outlier of group 40 - 50 years</em>

<em></em>

<u>Testing 84</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

84> 76 + 1.5 * 6

84 > 76 + 9

84 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

84 < 70 - 1.5 * 6

84 < 70 - 9

84 < 61 --- False

<em>Because both conditions are false, then 84 is  not an outlier of group 40 - 50 years</em>

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