Answer:
37 and 27
Step-by-step explanation:
Lets say that the two numbers are x and y. We get the equations x + y = 64 and x - y = 10. We can then add these two equations together to get, 2x = 74. Then we divide by two on both sides and get x = 37. We then plug this value back into the second equation and get that 37 - y = 10. We can simplify this and we get that y = 27. So our two numbers are 37 and 27.
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
The relationship between x and y is represent as:
Since, the relationship is linear.
The standard form of equation of line is:

Consider any two set x and y values from the given relationship.
Let (-2, 10) and (-1,7.5)


The equation of the linear relationship between x and y is:
y = -2.5(x + 2) + 10
Now, to check that the point (9, -17.5) lies on the represented relationship between x and y
Substitute x = 9 and y = -17.5 in the equation y = -2.5(x + 2) + 10
y = -2.5(x + 2) + 10
-17.5 = -2.5(9 + 2) + 10
-17.5 = -2.5(11) + 10
-17.5 = -27.5 + 10
-17.5 = -17.5
Thus, LHS = RHS
Hence the point (9, -17.5) lie on the given linear relationship between x and y.
Answer: The point (9, -17.5) lie on the given linear relationship between x and y.