Answer choice 2
this is because the center is at 2,-3 and radius is 5, 5^2 = 25
Answer:
Positive correlation exists ;
Number of Steps taken will cause heart rate to increase.
Step-by-step explanation:
Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.
Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.
Correlation between number of steps taken and heart rate.
Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).
Answer:
x = -6
Step-by-step explanation:
Solve for x:
5 x - 14 = 8 x + 4
Subtract 8 x from both sides:
(5 x - 8 x) - 14 = (8 x - 8 x) + 4
5 x - 8 x = -3 x:
-3 x - 14 = (8 x - 8 x) + 4
8 x - 8 x = 0:
-3 x - 14 = 4
Add 14 to both sides:
(14 - 14) - 3 x = 14 + 4
14 - 14 = 0:
-3 x = 4 + 14
4 + 14 = 18:
-3 x = 18
Divide both sides of -3 x = 18 by -3:
(-3 x)/(-3) = 18/(-3)
(-3)/(-3) = 1:
x = 18/(-3)
The gcd of 18 and -3 is 3, so 18/(-3) = (3×6)/(3 (-1)) = 3/3×6/(-1) = 6/(-1):
x = 6/(-1)
Multiply numerator and denominator of 6/(-1) by -1:
Answer: x = -6
Answer:
x = 4 ; y = 8
Step-by-step explanation:
we can use a system of two equation
x+1 = y-3
y-5 = 2x-5
we can find x in the first equation
x = y -4
we can now substitute x with this value in the second equation
y-5 = 2(y-4)-5
y = 2y-8
y = 8
we can now find x
x = 8-4 = 4
verify
2(4)-5 = 3
8-5 = 3
8-3 = 5
4 + 1 = 5