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EastWind [94]
3 years ago
11

A. 600 is ____% of 500 b. 100 is _____% more than 40.

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

9514 1404 393

Answer:

  A. 120%

  B. 150%

Step-by-step explanation:

a. Let 'a' represent the percentage of interest.

  600 = a% × 500

  600/500 = a/100 . . . . . . . % means /100

  100(6/5) = a = 120

  600 is <u> 120 </u>% of 500

__

b. Let 'b' represent the percentage of interest. The given statement means ...

  100 = 40 + b% × 40

  100 = 40(1 +b/100) . . . . . factor out 40, use /100 for %

  2.50 = 1 +b/100 . . . . . . . divide by 40

  1.50 = b/100 . . . . . . . . . . subtract 1

  150 = b . . . . . . . . . . . . . . multiply by 100

100 is <u> 150 </u>% more than 40

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The regression equation which correctly models the data in this table is y = 1.49x - 107.5,

<h3>How to determine the regression equation?</h3>

From the table of data values, we have the following parameters:

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Mathematically, the regression equation is represented by the following slope equation:

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Next, we would determine A by using this expression:

A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)

A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)

A = (32,377,368 - 32,515136)/(5×80142 - 399,424)

A = -137,768/1286

A = 107.5

For B, we have:

B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)

B = (5×51,448 - 632×404)/(5×∑x² - (632)²)

B = 1.49.

y = Bx + A

y = 1.49x - 107.5

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The expected value of tournament is $2600.

According to the statement

we have given that the tournament will cost $1000 and if it is sunny, it is expected that the club will collect $4,500 from the participants. And we have to find the expected value of a tournament.

So, we know that the

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If it is sunny, the club will collect $4,500 ;

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