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mr Goodwill [35]
3 years ago
11

The table gives sales data for a stationery store in any given two weeks. It lists the probability of the number of items purcha

sed in a single transaction and the average amount spent per transaction. Items Purchased in a Single Transaction Probability Average Amount Spent 2 0.35 $12 3 0.17 $20 4 0.33 $28 5 or more 0.15 $36 Based on the data provided, transactions with items are likely to bring in the most income during the next two-week transaction period.
Mathematics
1 answer:
netineya [11]3 years ago
7 0
From the given data:

Number of items | Probability of being purchased | Average amount spent
--------------------------------------------------------------------------------------------------
            2              |                     0.35                      |            $12
            3              <span>|                     0.17                      |            $20
</span>            4              <span>|                     0.33                      |            $28
</span>       5 or more      <span>|                     0.15                      |            $36
</span>
In a sample space of 100 items being purchased, in a day:

For 2 items: 35 (12) = 420
For 3 items: 17<span> (20) = 340
</span>For 4 items: <span>33 (28) = 924
</span>For 5 or more items: 15<span> (36) = 540
</span>
If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.
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Answer:

  • x + y ≤ 600
  • 5x +7y ≥ 3500
  • it is possible

Step-by-step explanation:

a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.

  x + y ≤ 600 . . . . . . . limit imposed by available seating

  5x +7y ≥ 3500 . . . . required revenue to meet expenses

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b) For x = 330, the first inequality puts one limit on y:

  330 +y ≤ 600

  y ≤ 270

And the second inequality puts another limit on y:

  5(330) +7y ≥ 3500

  7y ≥ 1850 . . . . subtract 1650

  y ≥ 264.3 . . . . divide by 7

The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.

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3 years ago
Use the information given to enter an equation in standard form.
Marysya12 [62]

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

We start by getting the slope of the line;

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m = (7-10)/(8-9) = -3/-1 = 3

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y = mx + b

m is slope, b is the y-intercept

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3 years ago
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kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

a=\sqrt{a}\times \sqrt{a}

The given algebraic equation in the problem is,

(x+ 9)^2 = 25

Take the square root, in both sides,

\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}

Cancel out the square root with the square of the number as,

(x+9)=\pm5\\

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

Learn more about the square root of number here;

brainly.com/question/664132

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13. Solve: x over 5 =6. X=<br> 6<br> 5<br> 30<br> 1.25
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

let's solve :

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substitute

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