Answer:
option B
−1.92 m/s2
Explanation:
Given in the question,
time took by truck to slow down = 3.56 sec
initial speed of truck = 112 km/h
final speed of truck = 87.4 km/h
1 km/h = 0.277778 m/s
112 = 31.1 m/s
87.4 = 24.28 m/s
Formula use to calculate the acceleration
v - u = at
where v is final speed
u is initial speed
a is acceleration
t is time
plug values in the equation
24.28 - 31.1 = a(3.56)
-6.8 = a(3.56)
a = -6.8 / 3.56
a = -1.9 m/s²
The difference between the observed points and the regression line points is equal to the correlation.
The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.
Regression expresses the relationship as an equation, whereas correlation assesses the strength of the linear link between two variables. The square of the correlation coefficient, also known as Pearson's r, between the observed and predicted values in a regression is sometimes referred to as R2.
Learn more about correlation here;
brainly.com/question/6563788
#SPJ4
Garlic Butter Shrimp Scampi can be enjoyed as an appetizer/light meal OR for dinner with your favourite pasta of choice! You can also keep it low carb and serve over zucchini noodles or with steamed cauliflower! Either way it’s delicious and even better than an Italian restaurant Scampi!
1) Let's call

the speed of the southbound boat, and

the speed of the eastbound boat, which is 3 mph faster than the southbound boat. We can write the law of motion for the two boats:


2) After a time

, the two boats are

apart. Using the laws of motion written at step 1, we can write the distance the two boats covered:


The two boats travelled in perpendicular directions. Therefore, we can imagine the distance between them (45 mi) being the hypotenuse of a triangle, of which

and

are the two sides. Therefore, we can use Pythagorean theorem and write:

Solving this, we find two solutions. Discarding the negative solution, we have

, which is the speed of the southbound boat.