Answer:
y=-1.5
X=1.75
Step-by-step explanation:
Yuh arrange the equations in order for easy subtracting of the equations.
-2y=0.5-2x. divide both sides by 2 to get y=-x-0.25.
6x+3y=6
3y=-6x+6 then divide both sides by three to get y
y=-2x+2
now arrange
y=-2x+2
y=-x-0.25 then multiple both equations by the cordinates of X value to eliminate x
Answer:
n = 484
Step-by-step explanation:
If Confidence Interval CI = 95 % then α = 5% and α/2 = 2,5 %
α/2 = 0,0125
MOE for normal distribution is:
MOE = z * σ/√n
For α/2 = 0,0125 ⇒ z(score) = -2,2
MOE = |-2,2| * 4/√n
0,4*√n = 8,8
√n = 8,8 / 0,4
√n = 22
n = 484
Answer:
5.79 feet
Step-by-step explanation:
Let us represent
First piece = x
Second piece = y
Third piece = z
Sac had a rope that was 15 feet long.
x + y + z = 15
He cut it into three pieces.
The first piece was 3.57 feet longer than the second piece.
x = 3.57 + y
The third piece was 2.97 feet longer than the second piece.
z = 2.97 + y
How long was the third piece of rope?
x + y + z = 15
3.57 + y + y + 2.97 + y = 15
3y + 6.54 = 15
3y = 15 - 6.54
3y = 8.46
y = 8.46/3
y = 2.82 feet
Therefore, the length of the third piece z = 2.97 + y
z = 2.82 + 2.97
z = 5.79 feet
Answer:
B) 17.1
Step-by-step explanation:
g = 5
f = 5
That means we have a 45-45-90 triangle
and the hypotenuse =
times the length of a leg
Therefore, h = 5
= 7.1
5 + 5 + 7.1 = 17.1
Note: If you have not been taught about 45-45-90 triangles, then use the Phythagorean theorem. OK?