Answer:
x= -1
y = 9
Step-by-step explanation:
to solve this system of equation
let
x - 2y = -19.....................................equation 1
-3x + 5y = 48 .................................. equation2
from equation 1
x - 2y = -19.....................................equation 1
x = -19 + 2y................................... equation 3
substitute the value of x into equation 2
-3x + 5y = 48 .................................. equation2
-3(-19 + 2y) + 5y = 48
57 - 6y + 5y = 48
combine the like terms
-6y + 5y = 48 -57
-y = - 9
divide both side by -
y = 9
put y= 9 into equation 3
x = -19 + 2y................................... equation 3
x = -19 + 2(9)
x = -19 + 18
x = -1
therefore the value of x and y is -1 and 9 respectively
Answer:
0.6826
Step-by-step explanation:
Mean(μ) = 37
Standard deviation (σ) = 9
P(28 < x < 46) = ???
Using normal distribution
Z = (x - μ)/σ
For x = 28
Z = (28 - 37)/9
Z = -9/9
Z = -1
For x = 46
Z = (46 - 37)/9
Z = 9/9
Z = 1
We now have
P(-1 < Z < 1)
= P(Z < 1) - P(Z < -1)
From the table, Z = 1 = 0.3413
φ(Z) = 0.3413
Recall that
When Z is positive, P(x<a) = 0.5 +φ(Z)
P(Z<1)= 0.5 + 0.3413
= 0.8413
When Z is negative, P(x<a) = 0.5 - φ(Z)
P(Z< -1)= 0.5 - 0.3413
= 0.1587
We now have
0.8413 - 0.1587
= 0.6826
Answer:
curved ramp
or quadrant circle map
Step-by-step explanation:
