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zavuch27 [327]
3 years ago
7

What is the value of x? In a equation

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0
It could be any number
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Form an equation based on the information given.
svlad2 [7]

Answer:

lynne is 7 and tobbe is 11

(18/2)+2=x

x-4=y

Step-by-step explanation:

6 0
3 years ago
Hector surveyed 500 people and asked them how far they drive to work and what is the last digit of their phone number. He used t
IRISSAK [1]

Answer:postive

Step-by-step explanation:

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3 years ago
This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents
lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

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}

So we can find the sums like this:

\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720

\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324

\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200

\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540

\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540

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}=49200-\frac{720^2}{12}=6000

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900

And the slope would be:

m=-\frac{1900}{6000}=-0.317

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

\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60

\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27

And we can find the intercept using this:

b=\bar y -m \bar x=27-(-0.317*60)=46.02

So the line would be given by:

y=-0.317 x +46.02

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0
4 years ago
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated 7) Find BC if BC = 2x + 4, AD = 28,
belka [17]

Answer:

  7)  BC = 10

  8)  BD = 20

Step-by-step explanation:

7) The segment addition theorem tells you ...

  AB +BC +CD = AD

  (3x+2) +(2x+4) +(3x-2) = 28

  8x +4 = 28 . . . . collect terms

  8x = 24 . . . . . . . subtract 4

  x = 3 . . . . . . . . . divide by 8

  BC = 2x+4 = 2(3) +4

  BC = 10

__

8) AB +BD = AC +CD

  (2x -14) +(-7 +3x) = (2x -3) +(9)

  5x -21 = 2x +6

  3x = 27

  x = 9

  BD = -7 +3x = -7 +3(9)

  BD = 20

7 0
3 years ago
Which one should I choose
Alona [7]
The answer is B linear
3 0
3 years ago
Read 2 more answers
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