Answer:
true
Step-by-step explanation:
please see the image I attached of my work
Answer:
X=6
FG=31
GH=22
Step-by-step explanation:
Equation: FG+GH=FH
rewrite with values
4x+7 + 5x-8 = 53
combine like terms
9x-1 = 53
add 1 to both sides
9x = 54
divide by 9
x = 6
use 6 end solve for FG and GH
FG = 4(6) + 7 = 31
GH = 5(6) - 8 = 22
Check your answers.. Do FG and GH add up to equal FH (53)?
31 + 22 = 53
I hope this made sense.
Step-by-step explanation:
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
4x+ y= 3
y= -4x + 3
slope = -4
the new slope = 1/4
the equation formula y= mx+b
m = new slope
y = (x/4) + b
From the point given (4,-3)
y = -3. x = 4
-3 = 1 + b
b = -4
the equation =
Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
Answer:
Y =2X +2
y = 2(13) + 3
y = 29 after 13 months
Step-by-step explanation:
x1 y1 x2 y2
0 2 2 6
(Y2-Y1) (6)-(2)= 4 ΔY 4
(X2-X1) (2)-(0)= 2 ΔX 2
slope= 2
B= 2
Y =2X +2
