Answers:
0.45 is a moderate association
0.95 and -0.8 are both strong association
0.10 is weak association
Explanation:
This is the interpreation of the correltaion coefficient:
1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.
2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.
If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.
3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.
4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.
5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.
6) A correlation coefficient of 0 is a nill association.
7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.
Answer: 35 m
Step-by-step explanation:
The problem is the same as:
a man is fix (not moving) and the goods train is travelling at the speed of 54+72 = 126 (km/h)
Distance = 126 km/h* 8 s=126000 m/(3600 s) * 8 s=35 m
Using the probability concept, it is found that there is a 
probability the student is a boy.
<h3>What is a probability?</h3>
- A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, according to the two-way table found on the internet when we research the problem:
- There are 11 people who are 12, of which 4 are girls and 7 are boys.
- Hence, in total, there are 21 people, of which 13 are girls and 8 are boys.
- Then, we find that there are 10 people aged 11, of which 6 are girls and 4 are boys.
Then:
There is a probability the student is a boy.
You can learn more about the probability concept at brainly.com/question/15536019
Answer:
0.971
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
Hence the expression (cos(arctan√3/7)) is equivalent to 0.971
