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Sindrei [870]
3 years ago
14

Consider this quadratic equation:

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0
A = 6
b = 9
c = -10
hope this helps you!
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In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they
ArbitrLikvidat [17]

Answer:

\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333  

And the slope would be:  

m=\frac{144.333}{20.889}=6.90953  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111  

\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667  

And we can find the intercept using this:  

b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241  

So the line would be given by:  

y=6.9096 x +46.241  

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.  

Step-by-step explanation:

Data given:

x: 3, 4, 4, 5, 3, 6, 2, 7, 3

y: 61, 68, 75, 82, 73, 90, 58, 93, 72

m=\frac{S_{xy}}{S_{xx}}  

\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333  

And the slope would be:  

m=\frac{144.333}{20.889}=6.90953  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111  

\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667  

And we can find the intercept using this:  

b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241  

So the line would be given by:  

y=6.9096 x +46.241  

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.  

3 0
3 years ago
You have 9 chairs arranged in a circle, and wish to seat 9 people (one person per seat). The one constraint is that person A can
stiv31 [10]

Answer:

30240 number of ways are there to seat them

Step-by-step explanation:

Total number of ways of arranging 9 people on 9 chairs  in circular manners = (9-1)! = 8! =

number of ways A sit always sit next to B = AB together makes a single and

                                                                       therefore total number of arrangements for this  = 7+(AB) = 8  that is 8  persons sitting in circular manner

number of ways = (8-1)! =7! = 5040

likewise number of arrangements for A and C will be = 5040

Total number of ways such that A cannot sit next to B or C = total ways of 9 persons - total number of A always sitting next to B - total number of ways always sitting next to C  = 8! - 7!-7!

                                        = 40320- 5040-5040

                                        = 30240

=  

5 0
3 years ago
You want to draw a sample of people in San Antonio who own 1960s Schwinn Sting-Ray children’s bicycles, a collector’s item. Ther
Anit [1.1K]

Answer:

Snowball Sampling

Step-by-step explanation:

Based on the specific scenario that is being described it can be said that the best type of sampling for you to use would be Snowball Sampling. This is a unique nonprobability sampling technique where subjects for the experiment at hand are recruited from the existing subjects list of acquaintances. Such as in this case it would target all the acquaintances of the Sting-Ray owners.

7 0
3 years ago
Please Help Thank You ( for brainliest )
damaskus [11]
They are congruent is the answer
6 0
3 years ago
Read 2 more answers
A right triangle has an area of 33mm and a height of 11mm how long is the base of the triangle​
Arlecino [84]

Answer:

6mm

Step-by-step explanation:

7 0
3 years ago
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