We are given a line with the following data:
r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)
We are asked to find the slope of the line up to 3 decimal places.
To find the slope of the line, based on the data that we have, we can use this formula:
slope, b = r * (Sy / Sx)
substitute the values to the formula:
b = 0.657 * ( 9.902 / 2.445 )
Solve for the b.
Therefore, the slope of the line is
b = 2.66078, round off to three decimal places:
b = 2.661 is the slope of the line.
Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins
Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins
2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.
Answer:
w=4
Step-by-step explanation:
The surface area of a prism is SA= 2lw+2lh+2hw
We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.
240=(2*12*w)+(2*12*5)+(2*5*w)
24w+120+10w
240= 34w+120
-120 -120
120= 34w
120/34 = 34w/34
w is approximately equal to 3.5 which can be rounded to 4
w=4
Hope this is right! It was confusing at first but I understood it!
Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15
