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AlexFokin [52]
3 years ago
7

E

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

For this case we have that by definition, the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point through which the line passes

According to the statement data we have:

m = 5\\(x_ {0}, y_ {0}): (- 8,1)

Substituting we have:

y-1 = 5 (x - (- 8))

By law of signs of multiplication we have to:

- * - = +\\y-1 = 5 (x + 8)

Answer:

The requested equation is: y-1 = 5 (x + 8)

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What is the greatest number of tables that can be made? Explain how did you decide on this number?
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The greatest number of tables that can be made is; 24 tables

<h3>Limiting Resources</h3>

To determine the limiting factor;

  • We must divide the number of all factors available by 72.

Hence, it goes that;

  • Only, 48/72= 0.66 balloons per chair
  • Only 24/72 = 0.33 flowers per chair
  • Only 32/72 = 0.44 candles per chair

However, it follows from the question that; the same number of centerpieces be used on each table.

Hence, the ratio of flowers per chair is lowest and hence, 72×0.33 flowers are used, 24 tables can therefore be set up.

Read more on limiting resources;

brainly.com/question/19231521

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Step-by-step explanation:

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3 years ago
You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,
kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

\text{Sum of square of differences} = \sum (x_i -\bar{x})^2

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{962}{15} = 64.13

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0
3 years ago
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