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statuscvo [17]
3 years ago
12

HELP BEST ANSWER

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

The correct option is c.

Step-by-step explanation:

An experiment in a physics class involves dropping a golf ball and recording the distance in meters it falls for different times in sec.

The given data is

Time                          Distance

0                                  0

0.5                               1.2

1                                   4.9

1.5                               11.0

2                                19.5

2.5                            30.5

3                                44.0

The equation of  linear regression line is defined as

y=a+bx

The value of b is 14.657 and the value of a is -6.1143

The equation of linear regression line is

y=14.657x-6.1143

The value of R² is  0.9228.

Therefore option c is correct.

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A triangular colourful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex s
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Answer:  The required length of the golden thread needed is 30 cm.

Step-by-step explanation:  Given that a triangular colorful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex so as to just reach the side 80 cm.

We are to find the length of the golden thread required.

As shown in the attached figure below, ABC is the triangular scenery with sides

AB = AC = 50 cm and BC = 80 cm.

AD is drawn perpendicular to BC, so that AD is the length of the golden thread required to reach side BC with length 80 cm from the vertex A.

Now, since AD ⊥ BC and ΔABC is isosceles (AB = AC), so we must have

D is the midpoint of BC.

That is,

BD=DC=\dfrac{1}{2}BC=\dfrac{1}{2}\times0=40.

Now, from the right-angled triangle ABD, we have

AB^2=BD^2+AD^2\\\\\Rightarrow AD^2=AB^2-BD^2\\\\\Rightarrow AD^2=50^2-40^2\\\\\Rightarrow AD^2=2500-1600\\\\\Rightarrow AD^2=900\\\\\Rightarrow AD=30.

Thus, the required length of the golden thread needed is 30 cm.

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