Find the value of the linear correlation coefficient "r". The data below consists of the scores from the first and second times that students took the SAT Exams. Use your calculator. First Score 860 980 1200 1040 1100 1200 1180 Second Score 940 1000 1240 1050 1260 1140 1100

0.7851

Step-by-step explanation:

Given the data :

First Score

860

980

1200

1040

1100

1200

1180

Second Score

940

1000

1240

1050

1260

1140

1100

Using an online regression calculator, we can obtain the correlation :

The correlation Coefficient r obtained is : 0.7851.

This value of r obtained signifies a strong positive correlation between the first and second score.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s