It’s 2.50
because 1.50/3 is 0.50 and 0.50x5 equals to 2.50
Answer:
Step-by-step explanation:
9x - 2y = 30
x - 2y = 14
9x - 2y = 30
-x + 2y = -14
8x = 16
x = 2
2 - 2y = 14
-2y = 12
y = -6
(2, -6)
Laura DATA:
Time = x hr/job ; Rate = 1/x job/hr
Jeri DATA
Time = x+2 hr/job ; Rate = 1/(x+2) job/hr
Tammy DATA:
Time = (x+2)/2 hr/job ; Rate = 2/(x+2) job/hr.
Together DATA:
time = 4/3 hr/job ; Rate = 3/4 job/hr
EQUATION:
rate + rate + rate = together rate
1/x + 1/(x+2) + 2/(x+2) = 3/4
Multiply thru by 4x(x+2) to get:
4(x+2) + 4x + 8x = 3x(x+2)
16x + 8 = 3x^2+6x
3x^2-10x-8 = 0
3x^2-12x+2x-8 = 0
3x(x-4)+2(x-4) = 0
(x-4)(3x+2) = 0
Positive answer:
x = 4 hrs. time for Laura to do the job
x+2=6 hrs. time for Jeri to do the job
(x+2)/2 = 3 hrs. time for Tammy to do the job
Answer:
The z-scores of both the mean and the median are zero.
Step-by-step explanation:
In a normal distribution, the mean and median values will be the same, in this case, 100. Therefore, both the mean and median will have the same score.
The z-score is given by:

For X = 100:

The z-scores of both the mean and the median are zero.
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m =
=
= -
, then
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = -
x + 2 ← equation of line