Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
Transpose = -2x = 4x – 20
Addition or Subtraction Property of Equality = -6x = -20
Division property of equality = x = 20/6
Simplify = x = 10/3
To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50
Answer:
C None of the above
Step-by-step explanation:
The expression
(5g+3h+4)⋅2
can be expanded using distributive property as follows:
5g⋅2 + 3h⋅2 + 4⋅2 =
= 10g + 6h + 8
option A expression
(5g+3h)⋅8
can be expanded using distributive property as follows:
5g⋅8+3h⋅8 =
= 40g + 24h
which is different from 10g + 6h + 8
Option B expression
(5g+3h)⋅6
can be expanded using distributive property as follows:
5g⋅6+3h⋅6 =
= 30g + 18h
which is different from 10g + 6h + 8
Answer:
Therefore the y-intercept of the function is 4.
Step-by-step explanation:
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.
So in the given Function Put x = 0 we will get the y-intercept
Put x =0
Therefore the y-intercept of the function is 4.
First find how much she makes per day for the 16 pages. Then divide it by the amount of hours she works to find her hourly average. So I guess you can use all these proportions.
