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Vikki [24]
4 years ago
12

Find the lengths, if needed round to the nearest tenth

Mathematics
1 answer:
Elis [28]4 years ago
7 0

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle that is made up of 2 right angle triangle.

To determine y, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = y² + 12²

225 = y² + 144

y² = 225 - 144 = 81

y = √81 = 9

To determine z,

20² = z² + 12²

400 = z² + 144

z² = 400 - 144 = 256

z = √256 = 16

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Which of the following equations best represents the regression line for the data given in the table above?
navik [9.2K]

B. y = 3x - 2

Step-by-step explanation:

A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0

Form a table as shown

x          y        xy           x²         y²

1           4         4            1          16

2           1          2           4          1

3           5         15          9        25

4           10        40        16        100

5           16        80        25      256

6            19        114       36       361

7            15        105       49      225

28          70       360      140     984 ------sum

From the table;

n=7 ---number of data points

∑x = 28

∑y=70

∑xy =360

∑x² =140

∑y² = 984

Applying equations for A and B

A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²

A=(70)(140) - (28)(360) / 7(140)-(28²)

A=9800 - 10080 / 980-784

A= -280 /196

A= -1.43

B= n(∑xy)-(∑x)(∑y)  / n(∑x²)-(∑x)²

B=7(360)-(28)(70) / 7(140) - (28²)

B=2520-1960 /980-784

B=560/196

B=2.86

The equation will be;

Y=A+Bx

Y=-1.43+2.86x

Y=2.86x-1.43

Learn More

Regression line : brainly.com/question/12280902

Keywords : equations, regression line, data, table

#LearnwithBrainly

7 0
3 years ago
Dominique is making a model of a new gym she plans to build. The actual length of the building is
Over [174]

Answer: 1 inch = 20 feet

Step-by-step explanation: You can answer this question using Unit Rate. Khan Academy explains it better, but basically you take the ten inches and divide it by ten to get one. and to get the scale, you have to divide 200 by ten to get the unit rate where 1 inch equals 20 feet.

7 0
3 years ago
True or false, the following two triangles are congruent by HL. <br><br> A.) False<br> B.) True
Gennadij [26K]
The answer is for this question is true
3 0
3 years ago
Work out value of X​
lord [1]

Answer:

x=39

Step-by-step explanation:

The figure is a parallelogram

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

In this problem

2x\°+(3x-15)\°=180\° ----> by consecutive interior angles

solve for x

5x-15=180

5x=180+15

5x=195

x=39

6 0
3 years ago
Which equation has the solution x=7
77julia77 [94]

Answer:

3+x=10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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