8-2(n+3)=n+7-3n
We move all terms to the left:
8-2(n+3)-(n+7-3n)=0
We add all the numbers together, and all the variables
-2(n+3)-(-2n+7)+8=0
We multiply parentheses
-2n-(-2n+7)-6+8=0
We get rid of parentheses
-2n+2n-7-6+8=0
We add all the numbers together, and all the variables
-5!=0
There is no solution for this equation
Answer:
1) They will stop 10 times for a break
2) A baker can make 10 cakes
3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy
Step-by-step explanation:
Let me know if you have any questions !
Hope it helps
Answer:
-9,-4
Step-by-step explanation:
Answer:
<h3>
Step-by-step explanation:</h3>
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
Answer:
Midpoint of side EF would be (-.5,4.5)
Step-by-step explanation:
We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
e=a+c/2,f=b+d/2
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
e=-2+1/2, f=3+6/2
e=-1/2, f=9/2
e=.5, f=4.5
SO, the mid-point would be (-0.5,4.5)