Direct variation describes - roughly - a relationship between two values where <em>scaling one value will scale the other by the same amount</em>. The x value <em>doubles </em>as it goes from 5 to 10, and since y varies directly as x, we can double the old y value to get the new one as well. Since the old y value is 8, our new y value should be 8 x 2 = 16.
Given:
z = (x - μ)/σ = z value
x = independent variable = 11
μ = mean = 8
σ = standard deviation = 3
Solution:
X ~ N (8, 3)
For day 1, n = 5
P (X < = 11) = P (Z < = 11 – 8 / 3/Sqrt5) = P (Z <
=2.23) = 0.987126
For day 1, n = 6
P (X < = 11) = P (Z < = 11 – 8 / 3/sqrt6) = P (Z <
=2.45) = 0.992857
For both days:
P (X <= 11) = P (X <= 11) = (0.987126) (0.992857) =
0.9801
Answer:
80
Step-by-step explanation:
10b - 5a + 6c
substitute the values
10(8) - 5(6) + 6(5)
80 - 30 + 30
=80
Divide the 3 by the answer and you get the answer. the answer is 17