Answer:
It would be a 3/4 chance that he will pull the right 4 coins.
Step-by-step explanation:
Answer:
The best estimate solution to the system of equations is (0, 3)
Step-by-step explanation:
we have
y=14x-2 ------> equation A
y=-2x+3 -----> equation B
Solve the system by elimination
Multiply the equation B by 7 both sides
(7)y=(7)(-2x+3)
7y=-14x+21 -------> equation C
Adds equation A and equation C
y=14x-2
7y=-14x+21
-----------------
y+7y=-2+21
8y=19
y=19/8
Find the value of x
y=14x-2
19/8=14x-2
19=112x-16
112x=19+16
112x=35
x=35/112
so
The solution is the point (35/112,19/8)
Convert to decimal number
(0.3125,2.375)
therefore
The best estimate solution to the system of equations is (0, 3)
The answer:
<span>the upper and lower control limits (uclim and lclim) for mean formula is
for the mean chart
uclim= x+A2xR
where x = sum(of the value) / number of each value
and for
lclim=</span>x+A2xR
<span>
R is the range such that R= Xmax - Xmin
in the case of the sample 1: S1
the data are:
79.2 78.8 80.0 78.4 81.0
the mean is x1 = (</span>79.2 + 78.8 + 80.0 + 78.4 + 81.0) / 5= 79.48
<span>its range is R 1= 81.0 -78.4 = 2.6
we can do the same method for finding the mean chart and range for all samples
</span>S2: x2=<span> 80.14 , R2=2.3
</span>S3: x3= 80.14 , R3=1.2
S4: x4= 79.60 , R4=1.7
S5: x5= 80.02 , R5=2.0
S6: x6=80.38 , R6=1.4
<span>
therefore the average value is X= sum( x1+x2+...+x6) / 6 = 79.96
and R=sum(R1+R2+...+R6)/6=1.87
finally
range chart uclim =D4xR=3.95 and lclim is always equal to 0, because D3=0
we can say that the process is not in control.
</span>
You can either scale down so you can get to 48 hours or just multiply from 20 to 48 and I'll explain both ways.
Scaling down:
You can find how many hours it takes to get to 1 gallon in the bucket by dividing
20÷5=4; It takes 4 hours to fill it up to one gallon.
You can now divide 48 by 4 to see how many gallons it'll take up to 48 hours.
48÷4=12
Quicker:
Divide 48 by 20;
48÷20=2.4
Now multiply since it filled it up to 5 gallons.
2.4×5=12
It'll fill 12 gallons in 48 hours.
Tell me if this helps!!
Answer:
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
Step-by-step explanation:
